Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
Abbaszadeh M. Dehghan M. Zaky M.A. Hendy A.S.
2021Hindawi Limited
Journal of Function Spaces
2021#2021
A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings.
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Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran
College of Education, King Saud University, Saudi Arabia
Department of Mathematics, Nazarbayev University, NurSultan, Kazakhstan
Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, ul. Mira. 19, Yekaterinburg, 620002, Russian Federation
Department of Applied Mathematics
College of Education
Department of Mathematics
Department of Computational Mathematics and Computer Science
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