Open Access

ARTICLE

Numerical Algorithm to Solve Fractional Integro-differential Equations Based on Operational Matrix of Generalized Block Pulse Functions

Yunpeng Ma¹, Lifeng Wang¹, Zhijun Meng¹
1 School of Aeronautic Science and Technology, Beihang University , Beijing, China.

Computer Modeling in Engineering & Sciences 2013, 96(1), 31-47. https://doi.org/10.3970/cmes.2013.096.031

Abstract

In this paper, we propose a numerical algorithm for solving linear and nonlinear fractional integro-differential equations based on our constructed fractional order generalized block pulse functions operational matrix of integration. The linear and nonlinear fractional integro-differential equations are transformed into a system of algebraic equations by the matrix and these algebraic equations are solved through known computational methods. Further some numerical examples are shown to illustrate the accuracy and reliability of the proposed approach. Moreover, comparing the methodology with the known technique shows that our approach is more efficient and more convenient.

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Keywords

Block pulse functions, operational matrix, fractional integro-differential equation, error analysis; numerical solution.

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