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

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Authors :

S. I. Unhale1and S. D. Kendre2*

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.

 

 

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