An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model

DOI10.1002/mma.6759zbMath1473.65195OpenAlexW3046041222MaRDI QIDQ5004030

Ali Habibirad, Esmail Hesameddini, Reza Roohi, Mohammad Hossein Heydari

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6759

zbMATH Keywords

meshless local Petrov-Galerkin (MLPG) method variable-order fractional derivative moving kriging interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

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A meshless thermal modelling for functionally graded porous materials under the influence of temperature dependent heat sources ⋮ A Meshfree Approach Based on Moving Kriging Interpolation for Numerical Solution of Coupled Reaction-Diffusion Problems ⋮ Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods ⋮ Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative ⋮ Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation ⋮ Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis

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