Author = Erfanian, Majid
Number of Articles: 1
Using of rational Haar wavelet to solve of nonlinear integro-differential equations
Volume 11, Issue 2, October 2024, Pages 66-75
https://doi.org/10.22072/wala.2024.2031651.1454
Majid Erfanian, Hamed Zeidabadi
Abstract This article uses the rational Haar wavelet and the successive method
to solve the nonlinear Fredholm integral differential equation. Additionally, we
have proved the convergence and order of convergence in this method by using
the fixed point Banach theorem. In this way, numerical integration is not used.
We also talk about two examples. We solved, drawing the absolute error, and
plot of the exact and numerical solution. Finally, the results show that the
proposed method is powerful for solving this equation.