Solution of nonlinear Fredholm‐Hammerstein integral equations by using semiorthogonal spline wavelets
Mehrdad Lakestani, Mohsen Razzaghi, Mehdi Dehghan · Mathematical Problems in Engineering · 2005
Compactly supported linear semiorthogonal B‐spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm‐Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.