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Numerical Solutions of Fractional Differential Equations with Variable Coefficients by Taylor Basis Functions

Athassawat Kammanee
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 383-393

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참고문헌

키워드

Taylor seriesfractional differential equationnumerical solutionvariable coefficient
주제분류수학

초록

In this paper, numerical techniques are presented for solving initial value prob lems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.

Abstract

In this paper, numerical techniques are presented for solving initial value prob lems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.

참고문헌 (17)

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