Numerical Solutions of Fractional Differential Equations by Using Laplace Transformation Method and Quadrature Rule

Autor: Samaneh Soradi-Zeid, Mehdi Mesrizadeh, Carlo Cattani
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Fractal and Fractional, Vol 5, Iss 3, p 111 (2021)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract5030111
Popis: This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace transform method to transcribe the fractional differential problem under study into a dynamic linear equations system. The resulting problem is then solved by employing the numerical method of the quadrature rule, which is also a well-developed numerical method. The present numerical scheme, which is based on the numerical inversion of Laplace transform and equal-width quadrature rule is robust and efficient. Some numerical experiments are carried out to evaluate the performance and effectiveness of the suggested framework.
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