Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets

作者：Maleknejad K^*; Sohrabi S

来源：Applied Mathematics and Computation, 2007, 186(1): 836-843.

DOI：10.1016/j.amc.2006.08.023

• first kind Fredholm integral equations
• Galerkin method
• Legendre wavelets
• CG method

An efficient method based on the Legendre wavelet approach is proposed for approximate the solution of Fredholm integral equations of the first kind. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis in Galerkin method to reduce the solution of linear integral equations to a system of algebraic equations. For solving this system, we use the CG method. Furthermore, we suggest a convergence analysis and error estimation for this method. For showing efficiency of method some test problems, for which the exact solution is known, are considered.

• 出版日期2007-3-1