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Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method

Bilal, Muhammad and Norhayati, Rosli and Norazaliza, Mohd Jamil and Ahmad, Ifthikar (2020) Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method. Malaysian Journal of Mathematical Sciences, 14 (4 Special). pp. 155-169. ISSN 18238343

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Abstract

In this paper, a collocation method which based on polynomial approximation of Taylor's series is proposed to approximate the solution of fractional pantograph differential equations (FPDE). The collocation method with truncated Taylor's polynomial is shown to be an applicable technique in solving FDDE. Some examples of the non-linear fractional pantograph differential equations are solved and compared with the exact solution to confirm the accuracy and applicability of the collocation method with Taylor's polynomial.

Item Type: Article
Uncontrolled Keywords: Collocation Method, Taylor Polynomials, Fractional Pantograph Di�erential Equations
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Institute of Postgraduate Studies
Depositing User: Dr. Norhayati Rosli
Date Deposited: 11 Aug 2021 05:07
Last Modified: 11 Aug 2021 05:07
URI: http://umpir.ump.edu.my/id/eprint/31661
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