Numerical solution of systems of linear Volterra integral equations using block-pulse functions
Authors :
V. Balakumara,* K. Murugesanb
Author Address :
a,bDepartment of Mathematics, National Institute of Technology, Tiruchirappalli-620 015, Tamil Nadu, India.
*Corresponding author.
Abstract :
This paper generalizes Block-Pulse Functions method for solving systems of linear Volterra integral equations of the second kind. This method, using operational matrix associated with Block-Pulse Functions, reduces these types of equations to a linear lower triangular system of algebraic equations. Numerical examples are presented to illustrate the computational efficiency of the method.
Keywords :
Block-Pulse Functions, Numerical method, Operational matrix, Volterra integral equations.
DOI :
Article Info :
Received : August 16, 2013; Accepted : September 01, 2013.