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

Authors

  • Karwan H. F. Jwamer Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Shazad Sh. Ahmed Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Diar Kh. Abdullah Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10832

Keywords:

Integro- fractional differential equation, Caputo derivative, Linear spline, Extrapolation method, Clenshaw

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.

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Published

2020-12-20

How to Cite

Numerical Treatment Solution of Volterra Integro-Fractional Differential Equation by Using Linear Spline Function. (2020). Journal of Zankoy Sulaimani - Part A, 22(2), 327-338. https://doi.org/10.17656/jzs.10832