On the Numerical Solution of Fractional Partial Differential Equations

Mathematical and Computational Applications

Vanani, Solat Karimi¹ 

关键词: Radial basis functions;    Fractional partial differential equations;   

DOI  :  10.3390/mca17020140

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper, a technique generally known as meshless method is presented for solving fractional partial differential equations (FPDEs). Some physical linear and nonlinear experiments such as time-fractional convective-diffusion equation, timefractional wave equation and nonlinear space-fractional Fisher's equation are considered. We present the advantages of using the radial basis functions (RBFs) especially wherein the data points are scattered. Comparing between the numerical results obtained from our method and the other methods confirms the good accuracy of the presented scheme.

【 授权许可】

CC BY