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A study of obstacle problems using homotopy perturbation method

Authors:

M Imran Qureshi ,

Department of Computer Sciences, COMSATS Institute of Information Technology, Vehari Campus, Vehari, Pakistan., PK
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Muntazim Abbas Hashmi,

Department of Basic Sciences and Humanities, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan., PK
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Zia Uddin,

Institute of Computing and Information Technology, Gomal University, Dera Ismail Khan, Pakistan., PK
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S Iqbal

Department of Informatics and Systems, School of System and Technology, University of Management and Technology, Lahore, Pakistan., PK
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Abstract

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.  

How to Cite: Qureshi, M.I. et al., (2017). A study of obstacle problems using homotopy perturbation method. Journal of the National Science Foundation of Sri Lanka. 45(4), pp.337–346. DOI: http://doi.org/10.4038/jnsfsr.v45i4.8227
Published on 27 Dec 2017.
Peer Reviewed

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