Using of rational Haar wavelet to solve of nonlinear integro-differential equations

This article uses the rational Haar wavelet and the successive methodto solve the nonlinear Fredholm integral differential equation. Additionally, wehave proved the convergence and order of convergence in this method by usingthe fixed point Banach theorem. In this way, numerical integration is not used.We also talk about two examples. We solved, drawing the absolute error, andplot of the exact and numerical solution. Finally, the results show that theproposed method is powerful for solving this equation.

کلیدواژه ها:

nonlinear Fredholm integral differential equation ، Convergence ، fixed point Banach theorem ، Haar Wavelet ، absolute error