A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation

DOI10.1016/j.apnum.2021.05.012zbMath1486.65157OpenAlexW3164868691MaRDI QIDQ2048417

Mehdi Dehghan, Mostafa Abbaszadeh

Publication date: 5 August 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.012

zbMATH Keywords

convergence analysisstability analysisenergy methodfinite difference schemereproducing kernel particle method (RKPM)fractional delay PDE

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) PDEs on time scales (35R07)

Related Items (8)

General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation ⋮ An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function ⋮ An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems ⋮ Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method ⋮ Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model ⋮ Unnamed Item ⋮ Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator ⋮ Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models

Uses Software

• ma2dfc

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