The Open Cybernetics & Systemics Journal

2009, 3 : 1-4
Published online 2009 February 26. DOI: 10.2174/1874110X00903010001
Publisher ID: TOCSJ-3-1

Volterra Type Integral Equation by the Whittaker Cardinal Expansion

K. Maleknejad and M. Alizadeh
Department of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16846 13114, Iran.

ABSTRACT

In this study, we use Whittaker cardinal expansion and collocation method to approximate the solution of Volterra integral equation of the second kind numerically which is arisen in many mathematical, industrial and medical problems. Then convergence of this method will be discussed in Lα space for every positive α. At the end of the paper, some numerical examples are presented to guarantee the accuracy of this method.

AMS Subject Classification: 45B05, 33C15, 65L60, 41A55.