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2013 Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem
Muhammad Azam, Khalid Parvez, Muhammad Omair
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/308692

Abstract

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.

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Muhammad Azam. Khalid Parvez. Muhammad Omair. "Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/308692

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950609
MathSciNet: MR3122111
Digital Object Identifier: 10.1155/2013/308692

Rights: Copyright © 2013 Hindawi

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