A quadrature method for numerical solutions of fractional differential equations

作者：Rehman Mujeeb Ur^*; Idrees Amna; Saeed Umer

来源：Applied Mathematics and Computation, 2017, 307: 38-49.

DOI：10.1016/j.amc.2017.02.053

• Fractional differential equations
• Quadrature method
• Caputo derivative
• Numerical solutions

In this article, a numerical method is developed to obtain approximate solutions for a certain class of fractional differential equations. The method reduces the underlying differential equation to system of algebraic equations. An algorithm is presented to compute the coefficient matrix for the resulting algebraic system. Several examples with numerical simulations are provided to illustrate effectiveness of the method.

• 出版日期2017-8-15