Fractal and Fractional | |
Numerical Solutions of Fractional Differential Equations by Using Laplace Transformation Method and Quadrature Rule | |
Mehdi Mesrizadeh1  Carlo Cattani2  Samaneh Soradi-Zeid3  | |
[1] Department of Mathematics, Kharazmi University, Karaj 14911-15719, Iran;Engineering School, DEIM, Tuscia University, 01100 Viterbo, Italy;Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan 98155-987, Iran; | |
关键词: fractional differential equation; Laplace transform method; time discretization; quadrature rule; | |
DOI : 10.3390/fractalfract5030111 | |
来源: DOAJ |
【 摘 要 】
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.
【 授权许可】
Unknown