Mathematical Methods in the Applied Sciences

Papers
(The H4-Index of Mathematical Methods in the Applied Sciences is 33. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions190
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis130
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems119
83
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow64
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics62
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity56
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control56
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions50
Effect of unfavorable regions on the spreading solution in a diffusion equation50
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration47
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system47
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response46
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds45
Issue Information44
The singular integro‐differential equations and its applications in the contact problems of elasticity theory44
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ0243
On coupled nonlinear evolution system of fractional order with a proportional delay43
Locations of spikes for linearly coupled Schrödinger systems42
Temperature and velocity profiles along a singular interface between two immiscible fluids41
Drag on a semipermeable spherical particle covered by a couple stress fluid40
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type40
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation40
Stabilization in a high‐dimensional chemotaxis system involving arbitrary superlinear degradation36
A mathematical assessment of the isolation random forest method for anomaly detection in big data36
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering36
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders35
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions35
Several novel inequalities associated with the Riesz‐type fractional integral operator34
Exponential stability of linear systems under a class of Desch–Schappacher perturbations34
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic34
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation33
Symmetric waves are traveling waves of some shallow water scalar equations33
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