Numerical Methods for Partial Differential Equations

Papers
(The H4-Index of Numerical Methods for Partial Differential Equations is 27. 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 2020-11-01 to 2024-11-01.)
ArticleCitations
A study on fractional host–parasitoid population dynamical model to describe insect species102
Numerical investigations onCOVID‐19 model through singular and non‐singular fractional operators91
Hall and ion slip effects on magnetohydrodynamic convective rotating flow of Jeffreys fluid over an impulsively moving vertical plate embedded in a saturated porous medium with Ramped wall temperature78
Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect64
An efficient computational approach for local fractional Poisson equation in fractal media57
Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward–downward moving rotating disk54
A generalized differential quadrature algorithm for simulating magnetohydrodynamic peristaltic flow of blood‐based nanofluid containing magnetite nanoparticles: A physiological application53
Boundary layer flow pattern of heat and mass for homogenous shear thinning hybrid‐nanofluid: An experimental data base modeling49
European option pricing models described by fractional operators with classical and generalizedMittag‐Lefflerkernels49
Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel48
An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory44
Mathematical modeling for novel coronavirus (COVID‐19) and control43
Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features38
Existence and controllability of nonlocal mixedVolterra‐Fredholmtype fractional delay integro‐differential equations of order 1 < r < 237
Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid a37
Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost37
Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A prop35
A novel numerical manner for two‐dimensional space fractional diffusion equation arising in transport phenomena35
New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 234
Computational investigation of heat transfer in a flow subjected to magnetohydrodynamic of Maxwell nanofluid over a stretched flat sheet with thermal radiation33
Modeling and numerical investigation of fractional‐order bovine babesiosis disease32
Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces an32
A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators31
A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions30
Integrated neuro‐evolution heuristic with sequential quadratic programming for second‐order prediction differential models30
Computational examination of Casson nanofluid due to a non‐linear stretching sheet subjected to particle shape factor: Tiwari and Das model28
On the nondifferentiable exact solutions to Schamel's equation with local fractional derivative on Cantor sets28
Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine‐Gordon equation27
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