A mofified Homotopy analysis method for solving nonlinear Fredholm integral equations of the second kind
Số 2 (69) 2020
Tạp chí Nghiên cứu khoa học - Đại học Sao Đỏ
2020/6/30

Abstract: 

In this paper, we study an improvement of the Homotopy analysis method to find approximate solutions of nonlinear Fredholm integral equations of the second kind, which are of ulmost importance in applied and engineering. The proposed modification is to use two auxiliary parameters, which provides us with a simple way to adjust and control the convergence of solution series. Some examples are given to illustrate the effectiveness of the modified method.

Keywords: Homotopy analysis method; fredholm integral equations;approximate solution.

 

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