Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis

摘要

In this paper, a system of nonlinear fractional differential equations (FDEs) are considered. They have been solved by Legendre wavelets method combining with its operational matrix. However, there are no articles about solving this system using wavelets method. The main purpose of this technique is to transform the initial equations into a nonlinear system of algebraic equations which can be solved easily. The convergence and error analysis are presented to show the correctness and feasibility of method proposed for solving the above mentioned problem. Finally, the applicability and efficiency of the mentioned approach are demonstrated by three numerical examples.