Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

• 作者: Sara Ghaderi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: HOMOTOPY PERTURBATION Method MOVING Boundaries ISOPERIMETRIC PROBLEMS
• 年，卷（期）: 2012,（5）
• 页码范围: 403-409
• 页数: 7页
• 分类号: O1

摘要

In this paper, homotopy perturbation method is applied to solve moving boundary and isoperimetric problems. This method does not depend upon a small parameter in the equation. homotopy is constructed with an imbedding parameter p, which is considered as a “small parameter”. Finally, we use combined homotopy perturbation method and Green’s function method for solving second order problems. Some examples are given to illustrate the effectiveness of methods. The results show that these methods provides a powerful mathematical tools for solving problems.