Semiorthogonal B-spline Wavelet for Solving 2D- Nonlinear Fredholm-Hammerstein Integral Equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 1
Abstract
This work is concerned with the study of the second order (linear) semiorthogonal B-spline wavelet method to solve one-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind. Proof of the existence and uniqueness solution for the two-dimensional Fredholm-Hammerstein nonlinear integral equations of the second kind was introduced. Moreover, generalization the second order (linear) semiorthogonal B-spline wavelet method was achieved and then using it to solve two-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind. This method transform the one-dimensional and two-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind to a system of algebraic equations by expanding the unknown function as second order (linear) semiorthogonal B-spline wavelet with unknown coefficients. The properties of these wavelets functions are then utilized to evaluate the unknown coefficients. Also some of illustrative examples which show that the second order (linear) semiorthogonalB-spline wavelet method give good agreement with the exact solutions.
Authors and Affiliations
Eman Ali Hussain, Lamyaa H. Ali
Keywords
Related Articles
- EP ID EP651359
- DOI 10.24297/jam.v6i1.3638
- Views 154
- Downloads 0
Unbounded solution of characteristic singular integral equation using differential transform method
In this paper, The differential transform method is extended to solve the Cauchy type singular integral equation of the first kind. Unbounded solution of the Cauchy type singular Integral equation is discussed. Num...
On metrical fixed point theorems in symmetric spaces
The aim of this paper is to obtain some common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying generalized -contractive conditions under the common limit range property. Our results gen...
New Generalized Definitions of Rough Membership Relations and Functions from Topological Point of View
In this paper, we shall integrate some ideas in terms of concepts in topology. In fact, we introduce two different views to define generalized membership relations and functions as mathematical tools to classify the sets...
Spectacular Exponents: A semi modular Approach to Fast Exponentiation
This paper introduces a computational scheme for calculating the exponential bw where b and w are positive integers. This two-step method is based on elementary number theory that is used routinely in this and simil...
Pseudo-Slant Submanifolds of a Locally Decomposable Riemannian Manifold
In this paper, we study pseudo-slant submanifolds of a locally decom- posable Riemannian manifold. We give necessary and suffcient conditions for distributions which are involued in the definition of pseudo-slant sub- ma...