A modification. for solving Fredholm-Hammerstein integral equation by using wavelet basis

作者：Rabani Mohsen; Maleknejad Khosrow^*

来源：Kybernetes, 2009, 38(3-4): 615-620.

DOI：10.1108/03684920910944830

• Cybernetics
• Integral equations

Purpose-The purpose of this paper is to use Alpert wavelet basis and modify the integrand function approximation coefficients to solve Fredholm-Hammerstein integral equations.
Design/methodology/approach - L(2)[0, 1] was considered as solution space and the solution was projected to the subspaces of L(2)[0, 1] with finite dimension so that basis elements of these subspaces were orthonormal.
Findings - In, this process, solution of Fredholm-Hammerstein integral equation is found by solving the generated system of nonlinear equations.
Originality/value - Comparing the method with others shows that this system has less computation. In fact, decreasing of computations result from the modification.

• 出版日期2009