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

S. I. Unhale; S. D. Kendre

doi:10.26637/MJM0601/0011

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 integro-differential 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

Mathematics Subject Classification:

Mathamatics

Authors Imprint References Funding Related Articles Downloads

S. I. Unhale Department of Mathematics, C.K. Thakur Arts, Commerce and Science College, New Panvel 410 206, India (M.S.) https://orcid.org/0000-0002-5121-3896
S. D. Kendre Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India (M.S.)

Pages: 73-79
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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