Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900778 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
In this paper, numerical techniques are presented for solving initial value problems of nonlinear fractional differential equations. The method is implemented by applying alternative Legendre polynomials. The operational matrix of fractional integration and the product for the alternative Legendre polynomials are derived in order to transform the nonlinear equations into a system of algebraic equations. The study of the error analysis of the obtained method is also considered. Furthermore, numerical examples demonstrate that this method is applicable and accurate.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Meng Zhijun, Yi Mingxu, Huang Jun, Song Lei,