Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891766 | Computers & Mathematics with Applications | 2018 | 12 Pages |
Abstract
In this paper, for investigating a boundary value problem for a nonlinear biharmonic equation of Kirchhoff type, we propose an efficient approach by the reduction of the problem to an operator equation for the nonlinear part of the equation. The result is that we have established the existence and uniqueness of a solution under some easily verified conditions. Also, we propose an iterative method for finding the solution. Some examples demonstrate the applicability of the theoretical results and the efficiency of the iterative method.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Quang A. Dang, Thanh Huong Nguyen,