Solving a nonlinear Volterra-Fredholm integro-differential equation with weakly singular kernels
2019
scientific article
english
- Volterra-Fredholm
- fixed point
- product integration method
- weakly singular kernel
EN The aim of the current work is to investigate the numerical study of an integro-differential nonlinear Volterra-Fredholm equation with a weakly singular kernels. Our approximation technique is based on the product integration method in conjunction with an iterative scheme. The existence and uniqueness of the solution have been proved. We conclude the paper with numerical examples to illustrate the effectiveness of our method.
155 - 168
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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