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

Muhammad Azam | Zendy; Khalid Parvez | Zendy; Muhammad Omair | Zendy

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

Author(s) -

Muhammad Azam,

Khalid Parvez,

Muhammad Omair

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/308692

Subject(s) - wavelet , obstacle , galerkin method , moving least squares , basis function , mathematics , block (permutation group theory) , construct (python library) , mathematical optimization , boundary value problem , finite element method , numerical integration , algorithm , computer science , mathematical analysis , geometry , structural engineering , artificial intelligence , political science , law , programming language , engineering

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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