摘要
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.
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.
作者
Fatheah Ahmed Hendi
Manal Mohamed Al-Qarni
Fatheah Ahmed Hendi;Manal Mohamed Al-Qarni(Department of Mathematics Faculty of Science, King Abdul Aziz University, Jeddah, KSA;Department of Mathematics Faculty of Science, King Khaled University, Abha, KSA)
