Malaysian Journal of Mathematical Sciences, December 2020, Vol. 14(S)
Special Issue: 2nd International Conference on Applied & Industrial Mathematics and Statistics 2019 (ICoAIMS 2019)
Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method
Bilal, M., Rosli, N., Mohd Jamil, N., and Ahmad, I.
Corresponding Email: norhayati@ump.edu.my
Received date: 15 January 2020
Accepted date: 20 November 2020
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.
Keywords: Collocation Method, Taylor Polynomials, Fractional Pantograph Differential Equations
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