Numerical solution of nonlinear fractional integro-differential equation by Collocation method

S. I. Unhale1and S. D. Kendre2*

doi:10.26637/MJM0601/0011

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

Authors :

S. I. Unhale¹and S. D. Kendre^2*

Author Address :

¹Department of Mathematics, C.K. Thakur Arts, Commerce and Science College, New Panvel 410 206, India (M.S.)
²Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India (M.S.)

*Corresponding author.

Abstract :

In this paper, we presents the Collocation Method with the help of shifted Chebyshev polynomials and shifted Legendre polynomials for the numerical solution of nonlinear fractional integrodifferential equations (NFIDEs). The method introduces a promising tool for solving many NFIDEs with the help of Newton’s iteration method.

Keywords :

Fractional Integrodifferential Equations, Collocation method, Chebyshev Polynomials, Legendre polynomials.

DOI :

10.26637/MJM0601/0011

Article Info :

Received : October 12, 2017; Accepted : December 26, 2017.