Numerical solution of fractional integro-differential equations by a hybrid collocation method

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• 作者：Xiaohua Ma ; ^{maxiaohua1109@163.com} ; Chengming Huang
• 关键词：Fractional integro-differential equation ; Hybrid collocation method ; Numerical method ; Convergence order
• 刊名：Applied Mathematics and Computation
• 出版年：2013
• 出版时间：15 February, 2013
• 年：2013
• 卷：219
• 期：12
• 页码：6750-6760
• 全文大小：267 K

文摘

Fractional integro-differential equations have been recently solved by many methods, such as Adomian decomposition method, differential transform method, collocation method and Taylor expansion approach. In this paper a hybrid collocation method is used which combines a non-polynomial collocation used on the first subinterval and graded piecewise polynomial collocation used on the rest of the interval. A theoretical analysis for the convergence order of the method is presented. Some numerical examples are given which confirm the theoretical results.