Numerical investigation of the two– dimensional time–dependent diffusion equation using Radial basis functions

Volume 22 , Issue 2 , December 2020 , Pages 273-280

Authors

Hamid Mesgarani 1 ; Mahya Kermani 1 ; Yaqub Azari 1

1 Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, 16785-163

DOI logo 10.17656/jzs.10827

Keywords

Abstract

In this paper, we investigate the numerical solution of the two–dimensional time–dependent diffusion equation with non-local and mixed Neumann–Dirichlet boundary conditions. In the discretization process, the backward Euler as well as Crank–Nicolson schemes and radial basis function (RBF) collocation method are respectively used to discretize time derivative and spatial derivative terms. The accuracy and applicability of the presented methods are illustrated and compared by solving two examples.

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  • Published at20 December 2020

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