Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel
| Autor: | Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Logarithm
Mathematical analysis Poisson kernel 010103 numerical & computational mathematics 02 engineering and technology General Medicine Fredholm integral equation 01 natural sciences Integral equation Nonlinear system symbols.namesake Kernel (statistics) 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Decomposition method (constraint satisfaction) 0101 mathematics Convergent series Mathematics |
| Zdroj: | American Journal of Computational Mathematics. :245-250 |
| ISSN: | 2161-1211 2161-1203 |
| Popis: | In the paper, the approximate solution for the two-dimensional linear and nonlinear Volterra-Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Adomian decomposition method (LADM) was studied. This technique is a convergent series from easily computable components. Four examples are exhibited, when the kernel takes Carleman and logarithmic forms. Numerical results uncover that the method is efficient and high accurate. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|