Computational & Applied Mathematics

Papers
(The median citation count of Computational & Applied Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition95
Necessary conditions for Turing instability in the reaction–diffusion systems associated with replicator dynamics78
A highly accurate RBF quasi-interpolation method for approximating the derivatives76
Modified intermixed iteration for solving the split general system of variational inequality problems and applications74
Inertial iterative method for solving equilibrium problems and fixed point problems62
Solving a system of two-sided Sylvester-like quaternion tensor equations51
Numerical solving of nonlinear differential equations using a hybrid method on a semi-infinite interval51
Karush–Kuhn–Tucker conditions and duality for a class of convex adjustable robust optimization problem49
A series of interval-valued Fermatean fuzzy Hamacher operators and their application49
$$\mathbb {Z}_2\mathbb {Z}_2[u^4]$$-cyclic codes and their duals45
Recovering the temperature distribution for multi-term time-fractional sideways diffusion equations45
Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems45
On numerical methods for solving Riesz space fractional advection–dispersion equations based on spline interpolants43
A class of new successive permutation iterative algorithms with the relaxation factor for radiation diffusion equation41
Mathematical modelling of HIV-1 transcription inhibition: a comparative study between optimal control and impulsive approach41
A weak Galerkin finite-element method for singularly perturbed convection–diffusion–reaction problems with interface38
Revisiting the extragradient method for finding the minimum-norm solution of non-Lipschitzian pseudo-monotone variational inequalities36
Dynamical technique for split common fixed point problem in Banach spaces35
Weak adversarial networks for solving forward and inverse problems involving 2D incompressible Navier–Stokes equations34
Non-monotonic and self-adaptive strongly convergent iterative methods for efficiently solving variational inequalities with pseudomonotone operators34
Multiplicity results for discrete partial mean curvature problems33
Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds32
Study on single server finite capacity neutrosophic queueing model32
An efficient semi-analytical technique to solve multi-dimensional Burgers’ equation32
A new subspace minimization conjugate gradient method based on conic model for large-scale unconstrained optimization31
An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions30
Evaluating the impacts of relaxation and mutation in the SARS-CoV-2 on the COVID-19 epidemic based on a mathematical model: a case study of São Paulo State (Brazil)29
Multicolor bipartite Ramsey numbers for paths, cycles, and stripes29
Convergence analysis for solving the split equality equilibrium problem in Hilbert spaces29
A study of range equalities for mixed products of two matrices and their generalized inverses29
Output feedback control and output feedback finite-time control for nonlinear fractional-order interconnected systems27
Multi-step gH-difference-based methods for fuzzy differential equations27
Euler wavelets method for solving fractional-order linear Volterra–Fredholm integro-differential equations with weakly singular kernels26
Approaches to multi-attribute decision-making based on picture fuzzy Aczel–Alsina average aggregation operators25
Weighted $$\ell _{p}(0<p\le 1)$$ minimization with non-uniform weights for sparse recovery under partial support information24
Dynamic overflow characteristics of special structure wells24
Three regularization methods for identifying the initial value of time fractional advection–dispersion equation23
A well-balanced numerical model for depth-averaged two-layer shallow water flows23
Geodesic transversal problem for join and lexicographic product of graphs21
Soft somewhat open sets: soft separation axioms and medical application to nutrition21
Approximation of common solutions of nonlinear problems in Banach spaces21
General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality21
Perturbation bounds for the core inverse of matrices20
Extrapolation of the Galerkin solution for two-dimensional nonlinear Fredholm integral equations with orthogonal basis of Boubaker polynomials20
A parameter-uniform numerical method for singularly perturbed Burgers’ equation20
Closed-form pricing formulas for variance swaps in the Heston model with stochastic long-run mean of variance20
Toward solving fractional differential equations via solving ordinary differential equations20
A variant of two-step modulus-based matrix splitting iteration method for Retinex problem20
Adaptive force control with active damping for robot manipulators with bounded inputs20
On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels20
Competitive multiple allocation hub location problem considering primary and backup routes20
Superconvergence of Newton–Cotes rule for computing hypersingular integral on a circle20
An approach to solve an unbalanced fully rough multi-objective fixed-charge transportation problem19
A new relationship between population genetics and fuzzy sets19
Best proximity points in noncommutative Banach spaces18
A broken reproducing kernel method for the multiple interface problems18
Inferring the unknown parameters in differential equation by Gaussian process regression with constraint18
Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications18
Boundary stabilization of an axially moving system of elasticity with an exponentially bounded external disturbance17
Efficient implementation of characteristic-based schemes on unstructured triangular grids17
A convergent hybrid numerical scheme for a class of nonlinear diffusion equations16
Edge sketches for multi-modal image registration based on Blake–Zisserman type energy16
On the preconditioned MINRES method for solving singular linear systems16
An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces16
Gaussian belief propagation for transient reaction–diffusion problems16
Optimality conditions and duality for continuous-time programming with multiple interval-valued objective functions16
Construction of transition surfaces with minimal generalized thin-plate spline-surface energies16
Existence, stability and controllability results for a class of switched evolution system with impulses over arbitrary time domain15
Numerical solution of fractional Kersten–Krasil’shchik coupled KdV–mKdV system arising in shallow water waves15
Strong convergence rate of the stochastic theta method for nonlinear hybrid stochastic differential equations with piecewise continuous arguments15
Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations15
Multiple-attribute group decision-making method based on intuitionistic multiplicative linguistic information15
Finite convergence of extragradient-type methods for solving variational inequalities under weak sharp condition15
Strong convergence of alternated inertial CQ relaxed method with application in signal recovery15
Roughness of $$( \alpha ,\beta )$$-bipolar fuzzy ideals in semigroups15
A new multi-ideal nano-topological model via neighborhoods for diagnosis and cure of dengue14
Neighbourhood and competition graphs under fuzzy incidence graph and its application14
Integral transforms involving orthogonal polynomials and its application in diffraction of cylindrical Waves14
A family of inertial derivative-free projection methods for constrained nonlinear pseudo-monotone equations with applications14
The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis14
An integrated TOPSIS–ORESTE-based decision-making framework for new energy investment assessment with cloud model14
Minimal pseudo-triangulation of the Hopf map and its uniqueness14
Adaptive selection of shape parameters for MQRBF in arbitrary scattered data: enhancing finite difference solutions for complex PDEs14
Approximate solution of Cauchy integral equations by using Lucas polynomials14
A new algorithm for approximating solutions of the common variational inclusion14
A reliable and fast mesh-free solver for the telegraph equation14
Rudin’s extension theorems and exponential convexity for matrix- and function-valued positive semidefinite functions14
Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems14
Results on passivity analysis of delayed fractional-order neural networks subject to periodic impulses via refined integral inequalities13
Operation mode selection of public-funded private-run elderly care agencies based on triangular intuitionistic fuzzy preference relations group decision-making13
Stability analysis of the COVID-19 model with age structure under media effect13
Nonlinear wave equation with Dirichlet and Acoustic boundary conditions: theoretical analysis and numerical simulation13
A modified multivariate spectral gradient projection method for nonlinear complementarity problems13
Seidel spectrum of threshold graphs13
New mixed-integer linear programming model for solving the multidimensional multi-way number partitioning problem13
An inverse problem for investigating the time-dependent coefficient in a higher-order equation13
A parallel monotone hybrid algorithm for a finite family of $$G-$$nonexpansive mappings in Hilbert spaces endowed with a graph applicable in signal recovery13
Communicability cosine distance: similarity and symmetry in graphs/networks12
Positive solutions for the fractional Kirchhoff type problem in exterior domains12
Dynamic analysis of the fractional-order logistic equation with two different delays12
MPD-DMP-solutions to quaternion two-sided restricted matrix equations12
$$(\mu _{1},\mu _{2})$$-Pseudo-asymptotically $$\tau $$-periodic function applied to models for differential equations with delays12
Extragradient method with Bregman distances for solving vector quasi-equilibrium problems12
A relaxed two-step modulus-based matrix synchronous multisplitting iteration method for linear complementarity problems12
Entropy and periods for continuous graph maps12
Robust mid-point upwind scheme for singularly perturbed delay differential equations12
Fastest motion planning for an unmanned vehicle in the presence of accelerating obstacles12
A predictor–corrector scheme for solving the time fractional Fokker–Planck equation with uniform and non-uniform meshes12
Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms12
The convergence properties of the Green’s function method for third order functional differential equations12
Fair allocation algorithms for indivisible items under structured conflict constraints12
Guaranteed cost control of fractional-order switched systems with mixed time-varying delays12
Robust support vector quantile regression with truncated pinball loss (RSVQR)11
The factorization method for inhomogeneous medium with an impenetrable obstacle11
Solving high-order uncertain differential equations via Adams–Simpson method11
Larger convergence regions for an efficient two-step iterative method11
Nonconvex $$\ell _p-\alpha \ell _q$$ minimization method and p-RIP condition for stable recovery of approximately k-sparse signals11
High-order spectral collocation method using tempered fractional Sturm–Liouville eigenproblems11
L-valued quasi-overlap functions, L-valued overlap index, and Alexandroff’s topology11
Matrix analysis of discrete functionals in compact difference method for nonlinear problems with higher derivatives and program code (I: 1D problem)11
Hamiltonian (s, t)-paths in solid supergrid graphs11
Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor11
Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes11
Structure of $${\mathbb {F}}_q{\mathcal {R}}$$-linear $$(\varTheta ,\varDelta _\varTheta )$$-cyclic codes11
Invariant subspaces and exact solutions: $$(1+1)$$ and $$(2+1)$$-dimensional generalized time-fractional thin-film equations10
A two-agent resource allocation scheduling problem with slack due-date assignment and general deterioration function10
Application of soft sets to graph coloring10
Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger–Poisson equation10
Discrete energy behavior of Timoshenko system with Cattaneo’s law10
An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics10
Stochastic differential games with controlled regime-switching10
Direct approach on projective synchronization of inertial quaternion-valued neural networks with proportional delays10
Fuzzy modeling of a class of linear oscillators and its application to electric circuits10
A novel definition of the caputo fractional finite difference approach for Maxwell fluid10
Trees, unicyclic graphs and their geometric Sombor index: an extremal approach10
A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes10
Non-homogeneous DEA approach in the presence of negative data: a promising prospective approach to enhance decision-making10
Pseudo almost periodic solutions for a class of nonlinear Duffing equations on time scales10
Multiscale orthonormal method for nonlinear system of BVPs10
Iterative fractional Tikhonov–Landweber method for identifying unknown source on a columnar symmetric domain10
Fast algorithms for the solution of perturbed symmetric Toeplitz linear system and its applications10
Real and complex solutions of the total least squares problem in commutative quaternionic theory10
Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels10
Two classes of ordinal sum implications10
$$ H^1$$-Galerkin mixed finite element method for the vibration equation of beam with structural damping10
Firing and synchronous of two memristive neurons10
Self-adaptive algorithms for quasiconvex programming and applications to machine learning10
Mann-type extragradient algorithm for solving variational inequality and fixed point problems10
The distributed no-idle permutation flowshop scheduling problem with due windows10
Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers9
Hybridized successive complementary expansions for solving convection-dominated 2D elliptic PDEs with boundary layers9
Solutions of the mean curvature equation with the Nehari manifold9
MPCA and MDA via Einstein product9
On the genus and crosscap two coannihilator graph of commutative rings9
Homoclinic and heteroclinic bifurcations in piecewise smooth systems via stability-changing method9
A graphical method-based Kharitonov theorem for robust stability analysis of incommensurate fractional-order uncertain systems9
Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs9
Normalized solutions to biharmonic Schrödinger equation with critical growth in $${\mathbb {R}}^N$$9
A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm9
A novel coding scheme for generating sixteen codes from quaternary codes with applications9
A random sampling algorithm for fully-connected tensor network decomposition with applications9
On a total order on the set of Z-numbers based on discrete fuzzy numbers9
Comparison principles for a class of general integro-differential inequalities with applications9
On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension9
Dynamics of tsunami wave propagation in uncertain environment9
Decoding of cyclic codes over the ring $$F_2+uF_2+u^2F_2$$9
On refined rational convex contractions with applications to matrix and implicit functional integral equations9
On some geometrical eigenvalue inverse problems involving the p-Laplacian operator9
A novel approach to simplifying dynamic data through multi-scale decision systems9
Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS9
Infinity norm bounds for the inverse for $$\textrm{GSDD}_1$$ matrices using scaling matrices8
A hybrid decision-making framework under 2-tuple linguistic complex q-rung orthopair fuzzy Hamy mean aggregation operators8
Minimizers of fractional NLS energy functionals in $$\mathbb {R}^{2}$$8
Robust time-consistent strategy for the defined contribution pension plan with a minimum guarantee under ambiguity8
Numerical methods for QBD matrix equations8
An efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection–diffusion equations8
Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications8
Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations8
A spectral collocation matrix method for solving linear Fredholm integro-differential–difference equations8
On the solution of systems of linear equations associated to the ADO method in particle transport problems8
Solitary water wave interactions for the forced Korteweg–de Vries equation8
Numerical simulations of reaction–diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines8
About the type of broom trees8
An efficient analytical iterative technique for solving nonlinear differential equations8
An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation8
Analysis of blow-up behavior of solutions to CVIEs8
An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term8
A common fixed point for multi-valued mappings in complex-valued b-metric spaces and applications8
Minimizing the distance spectral radius of uniform hypertrees with given parameters8
Study the genetic variation using Eta functions8
An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation8
On adaptive block coordinate descent methods for ridge regression8
Shortest path interdiction problem with convex piecewise-linear costs8
A systematic construction approach for nonregular fractional factorial four-level designs via quaternary linear codes8
Some applications of a decomposition for five quaternion matrices in control system and color image processing8
Global error bounds for the extended vertical LCP of B-type matrices8
Stabilization of Timoshenko–Ehrenfest type systems8
A martingale method for option pricing under a CEV-based fast-varying fractional stochastic volatility model8
Fractional inequalities of corrected Euler–Maclaurin-type for twice-differentiable functions8
A meshless local Galerkin method for solving a class of nonlinear time-dependent mixed integral equations on non-rectangular 2D domains8
Uniform spaces based on a way below relation8
Optimal control of system governed by nonlinear volterra integral and fractional derivative equations8
Applications of generalized formable transform with $$\Psi $$-Hilfer–Prabhakar derivatives8
A variational R-matrix finite element procedure for solving ultra-cold collision problems8
Practical RPCG methods for complex symmetric linear systems8
A finite elements approach for spread contract valuation via associated two-dimensional PIDE7
Hilbert solution of fuzzy fractional boundary value problems7
Discrete maps with distributed memory fading parameter7
Forcing and anti-forcing polynomials of a type of polyomino graphs7
Modified two-step scale-splitting iteration method for solving complex symmetric linear systems7
Algebraic and geometric characterizations related to the quantization problem of the $$C_{2,8}$$ channel7
Generalized estimator for computation of population mean under neutrosophic ranked set technique: An application to solar energy data7
A new approximate descent derivative-free algorithm for large-scale nonlinear symmetric equations7
An outcome space algorithm for minimizing a class of linear ratio optimization problems7
A second-derivative functionally fitted method of maximal order for oscillatory initial value problems7
Qualitative analysis of caputo fractional integro-differential equations with constant delays7
Interval-valued value function and its application in interval optimization problems7
Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces7
A novel algebraic construction of strong S-boxes over double GF(27) structures and image protection7
On the dynamics of a discrete difference map in Mann orbit7
An improved belief $$\chi ^2$$ divergence for Dempster–Shafer theory and its applications in pattern recognition7
On existence of solutions for $$\Psi $$-Hilfer type fractional BVP of generalized higher order7
Novel distance measures based on complex fuzzy sets with applications in signals7
Two constructions of two-dimensional Golay complementary array sets with flexible sizes in two dimensions7
Earth Mover’s divergence of belief function7
A general fast shift-splitting iteration method for nonsymmetric saddle point problems7
Improved weighted essentially non-oscillatory schemes with modified stencil approximation7
Cubical fuzzy Hamacher aggregation operators in multi-attribute decision-making problems7
Lie symmetries, invariant subspace method, and conservation laws for a time fractional generalized Broer–Kaup system7
Multiple attribute group decision-making method based on extended bipolar fuzzy MABAC approach7
A sequential designing-modeling technique when the input factors are not equally important7
The randomized circumcentered-reflection iteration method for solving consistent linear equations7
Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density7
Parameter estimation with the Markov Chain Monte Carlo method aided by evolutionary neural networks in a water hammer model7
Spectral residual method for nonlinear equations on Riemannian manifolds7
Nonnegative tensor train for the multicomponent Smoluchowski equation7
Lopsided DSS iteration method for solving complex Sylvester matrix equation7
Further results on exponential stability of switched systems7
Pessimistic multigranulation rough bipolar fuzzy set and their application in medical diagnosis7
Directional monotonic fuzzy implication functions induced from directional increasing quasi-grouping functions7
Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation7
UTV decomposition of dual matrices and its applications7
R. Chan’s circulant-based approximate inverse preconditioning iterative method for solving second-order space fractional advection–dispersion equations with variable coefficients7
A new descent spectral Polak–Ribière–Polyak method based on the memoryless BFGS update7
High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model7
A meshfree technique for the numerical solutions of nonlinear Fornberg–Whitham and Degasperis–Procesi equations with their modified forms7
A modified Dai–Kou-type method with applications to signal reconstruction and blurred image restoration6
Soft $$\omega \beta $$-open sets and their generated soft topology6
The construction of $$\Theta $$–$$\Xi $$ functions on complete lattices6
Influence of Allee effect and delay on dynamical behaviors of a predator–prey system6
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