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Journal of Applied Mathematics
Volume 2013, Article ID 308692, 8 pages
Research Article

Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem

Research Center for Modeling & Simulation, National University of Engineering & Sciences, Islamabad 44000, Pakistan

Received 15 June 2013; Revised 16 August 2013; Accepted 17 August 2013

Academic Editor: Reinaldo Martinez Palhares

Copyright © 2013 Muhammad Azam et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce improved element-free Galerkin method based on block pulse wavelet integration for numerical approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. Moving least squares (MLS) approach is used to construct shape functions with optimized weight functions and basis. Numerical results for test problems are presented in this article to elaborate the pertinent features for the proposed technique. Comparison with existing techniques shows that our proposed method based on integration technique provides better approximation at reduced computational cost.