Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets
K. Maleknejad
(School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran)
M. Tavassoli Kajani
(Science and Research Campus, Azad University, Tehran, Iran)
Y. Mahmoudi
(Science and Research Campus, Azad University, Tehran, Iran)
912
Abstract
Uses the continuous Legendre wavelets on the interval [0,1) in the manner of M. Razzaghi and S. Yousefi, to solve the linear second kind integral equations. We use quadrature formula for the calculation of inner products of any functions, which are required in the approximation for the integral equations. Then, we reduced the integral equation to the solution of linear algebraic equations.
Keywords
Citation
Maleknejad, K., Tavassoli Kajani, M. and Mahmoudi, Y. (2003), "Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets", Kybernetes, Vol. 32 No. 9/10, pp. 1530-1539. https://doi.org/10.1108/03684920310493413
Publisher
:MCB UP Ltd
Copyright © 2003, MCB UP Limited