Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem. (23rd October 2013)

• Record Type: Journal Article
• Authors: Azam, Muhammad; Parvez, Khalid; Omair, Muhammad
• Other Names: Palhares Reinaldo Martinez Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-10-23
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/308692
• Languages: English
• ISSNs: 1110-757X

Abstract

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.