On a method for solving a two-dimensional nonlinear integral equation of the second kind
โ Scribed by M.A. Abdou; A.A. Badr; M.B. Soliman
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 258 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
In this article, the existence of at least one solution of a nonlinear integral equation of the second kind is proved. The degenerate method is used to obtain a nonlinear algebraic system, where the existence of at least one solution of this system is discussed. Finally, computational results with error estimates are obtained using Maple software.
๐ SIMILAR VOLUMES
A simple and efficient method for solving hypersingular integral equations of the first kind in reproducing kernel spaces is developed. In order to eliminate the singularity of the equation, a transform is used. By improving the traditional reproducing kernel method, which requires the image space o
Numerical solutions of Fredholm and Volterra integral equations of the second kind via hybrid functions, are proposed in this paper. Based upon some useful properties of hybrid functions, integration of the cross product, a special product matrix and a related coefficient matrix with optimal order,