Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system

Document Type : Research Article

Authors

1 Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave., 15914 Tehran, Iran

2 Department of Mathematics, Faculty of Basic Scince, University of Qom, Alghadir Blvd., Qom, Iran

Abstract

The main aim of the current paper is to apply the compact local integrated RBFs technique to the numerical solution of the fourth-order time-fractional diffusion-wave system. A finite difference formula is employed to obtain a time-discrete scheme. The stability and convergence rate of the semi-discrete plan are proved by the energy method. A new unknown variable is defined to obtain a second-order   system of PDEs. Then, the compact local integrated radial basis functions (RBFs) is used to approximate the spatial derivative. The utilized numerical method is a truly meshless technique.  The numerical approach put forth is genuinely meshless, allowing for the utilization of irregular physical domains in obtaining numerical solutions.

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Journal of Mathematical Modeling
Volume 12, Issue 3
September 2024
Pages 431-449

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