TY - EJOU
AU - Ma, Yunpeng
AU - Wang, Lifeng
AU - Meng, Zhijun
TI - Numerical Algorithm to Solve Fractional Integro-differential Equations Based on Operational Matrix of Generalized Block Pulse Functions
T2 - Computer Modeling in Engineering \& Sciences
PY - 2013
VL - 96
IS - 1
SN - 1526-1506
AB - 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.
KW - Block pulse functions
KW - operational matrix
KW - fractional integro-differential equation
KW - error analysis; numerical solution
DO - 10.3970/cmes.2013.096.031