A study of obstacle problems using homotopy perturbation method

被引：0

作者：

Qureshi, M. Imran ^{[1
]}

Hashmi, Muntazim Abbas ^{[2
]}

Ziauddin ^{[3
]}

Iqbal, S. ^{[4
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Comp Sci, Vehari Campus, Vehari, Pakistan

[2] Khwaja Fareed Univ Engn & Informat Technol, Dept Basic Sci & Humanities, Rahim Yar Khan, Pakistan

[3] Gomal Univ, Inst Comp & Informat Technol, Dera Ismail Khan, Pakistan

[4] Univ Management & Technol, Sch Syst & Technol, Dept Informat & Syst, Lahore, Pakistan

来源：

JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA | 2017年 / 45卷 / 04期

关键词：

Homotopy perturbation method; numerical solution; obstacle problem; system of boundary value problem; NUMERICAL-SOLUTION; CUBIC-SPLINES; SYSTEM; FLOW;

D O I：

10.4038/jnsfsr.v45i4.8227

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Numerical methods for solving differential equations has become an important topic of this era. The importance of boundary value problems in applied sciences shows the way in which existence of exact solution is not always possible. This study adopts the homotopy perturbation method (HPM) to solve multiple-point boundary value problems arising in obstacle, unilateral and contact problems. Convergent approximate solutions are constructed such that the exact boundary conditions are satisfied. Some examples have been presented to elucidate the efficiency and implementation of the method. We have compared the results using different number of terms of HPM and found that increasing the number of terms of approximate solution will increase the efficiency.

引用

页码：337 / 346

页数：10

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