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

Author

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  • Muhammad Azam
  • Khalid Parvez
  • Muhammad Omair

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.

Suggested Citation

  • Muhammad Azam & Khalid Parvez & Muhammad Omair, 2013. "Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, October.
    • Handle: RePEc:hin:jnljam:308692
    DOI: 10.1155/2013/308692
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