Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations

DOI10.1007/s40314-019-0952-zzbMath1438.35433OpenAlexW2978237507MaRDI QIDQ2326354

Prashant Pandey, Sachin Kumar, Subir Das

Publication date: 7 October 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-019-0952-z

zbMATH Keywords

collocation methodoperational matrixfractional PDEGegenbauer waveletvariable-order diffusion equation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (7)

A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order ⋮ Collocation method with Lagrange polynomials for variable‐order time‐fractional advection–diffusion problems ⋮ An efficient wavelet‐based approximation method for solving nonlinear fractional‐time long wave equations: An operational matrix approach ⋮ A numerical method for time-fractional reaction-diffusion and integro reaction-diffusion equation based on quasi-wavelet ⋮ Higher dimensional semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on linear polarization and 2D Landau damping instability ⋮ A local meshless method for solving multi-dimensional Galilei invariant fractional advection-diffusion equation ⋮ Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations

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