Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem
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 cons...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/308692 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849766213172854784 |
|---|---|
| author | Muhammad Azam Khalid Parvez Muhammad Omair |
| author_facet | Muhammad Azam Khalid Parvez Muhammad Omair |
| author_sort | Muhammad Azam |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c49b62a8d3bb40d58505277b67b8c6a0 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c49b62a8d3bb40d58505277b67b8c6a02025-08-20T03:04:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/308692308692Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle ProblemMuhammad Azam0Khalid Parvez1Muhammad Omair2Research Center for Modeling & Simulation, National University of Engineering & Sciences, Islamabad 44000, PakistanResearch Center for Modeling & Simulation, National University of Engineering & Sciences, Islamabad 44000, PakistanResearch Center for Modeling & Simulation, National University of Engineering & Sciences, Islamabad 44000, PakistanWe 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.http://dx.doi.org/10.1155/2013/308692 |
| spellingShingle | Muhammad Azam Khalid Parvez Muhammad Omair Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem Journal of Applied Mathematics |
| title | Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem |
| title_full | Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem |
| title_fullStr | Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem |
| title_full_unstemmed | Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem |
| title_short | Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem |
| title_sort | element free galerkin method based on block pulse wavelets integration for solving fourth order obstacle problem |
| url | http://dx.doi.org/10.1155/2013/308692 |
| work_keys_str_mv | AT muhammadazam elementfreegalerkinmethodbasedonblockpulsewaveletsintegrationforsolvingfourthorderobstacleproblem AT khalidparvez elementfreegalerkinmethodbasedonblockpulsewaveletsintegrationforsolvingfourthorderobstacleproblem AT muhammadomair elementfreegalerkinmethodbasedonblockpulsewaveletsintegrationforsolvingfourthorderobstacleproblem |