Gaussian-radial basis functions for solving fractional parabolic partial integro-differential equations

Authors

  • Fatemeh Alsadat Aghaei Meybodi
  • Mohammad Hossein Heydari
  • Farid Mohammad Maalek Ghaini

DOI:

https://doi.org/10.30495/jme.v15i0.1126

Keywords:

Fractional parabolic partial integro-differential equations, Radial basis functions, Collocation method, Quadrature methods.

Abstract

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.

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Published

2019-09-22

Issue

Vol. 15

Section

Vol. 15, No. 2, (2021)

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