A study of obstacle problems using homotopy perturbation method

Autor:	Shaukat Iqbal, Zia Uddin, M Imran Qureshi, Muntazim Abbas Hashmi
Rok vydání:	2017
Předmět:	Multidisciplinary Exact solutions in general relativity Obstacle Numerical analysis Obstacle problem Applied mathematics Boundary value problem Applied science Homotopy perturbation method Differential (mathematics) Mathematics
Zdroj:	Journal of the National Science Foundation of Sri Lanka. 45:337
ISSN:	2362-0161 1391-4588
DOI:	10.4038/jnsfsr.v45i4.8227
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::600a6c2346a694d16a9d2fd89b7613ee https://doi.org/10.4038/jnsfsr.v45i4.8227 Zobrazit plný text záznamu