Numerical Treatment Solution of Volterra Integro-Fractional Differential Equation by Using Linear Spline Function

Volume 22 , Issue 2 , December 2020 , Pages 327-338

Authors

Karwan H.F. Jwamer 1 ; Shazad Sh. Ahmed 1 ; Diar Kh. Abdullah 1

1 Department of Mathematics, College of Science, Sulaimani University, Sulaimani, Kurdistan Region, Iraq.

DOI logo 10.17656/jzs.10832

Keywords

Abstract

In this article, we propose two new approximate methods based totally on the use of normal linear spline function and second employed with the Richardson Extrapolation technique the usage of discrete collocation points for approximating the solution of the Volterra integro-fractional differential equations (VIFDEs). The fractional derivatives are used in the Caputo sense. Illustrative examples are included to demonstrate the validity and applicability of the technique. A new technique with the resource of MatLab program is written to treat numerically VIFDEs using spline function, as well as, follow the Clenshaw Curtis rule for calculating the required integrals for those equations.

Statistics
  • Article view452
  • Downloads0
  • Published at20 December 2020

  • RIS
  • BibTeX
  • EndNote
  • Mendeley
  • APA (7th edition)
  • MLA (9th edition)
  • Chicago
  • Harvard
  • IEEE
  • Vancouver