Gaussian radial basis functions for solving fractional parabolic partial integro differential equations
In this investigation, we solve the Caputo's fractional parabolic partial integro differential equations (FPPI DEs) by Gaussian radial basis functions (G RBFs) method. The main idea for solving these equations is based on RBF which also provides approaches to higher dimensional spaces.In the suggested method, FPPI DEs are reduced to nonlinear algebraic systems. We propose to apply the collocation scheme using G RBFs to approximate the solutions of FPPI DEs. Error analysis of the proposed method is investigated. Numerical examples are provided to show the convenience of the numerical schemes based on the G RBFs. The results reveal that the method is very efficient and convenient for solving such equations.