Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons

Abstract

The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.

Keywords

• Radial basis function
• Meshless method
• Time fractional Sobolev equation
• Caputo derivative
• Irregular domain