Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method
This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2013-07-01
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| Series: | Journal of Applied Sciences and Environmental Management |
| Online Access: | https://www.Ajol.Info/index.php/jasem/article/view/90773 |
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| author | M Vaghefi H Rahideh MR Golbaher Haghighi AK Manshad |
| author_facet | M Vaghefi H Rahideh MR Golbaher Haghighi AK Manshad |
| author_sort | M Vaghefi |
| collection | DOAJ |
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This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. This equation is similar to, but simpler than, the Navier-Stokes equation in fluid dynamics. To verify this advantage through some comparison studies, an exact series solution are also obtained. In addition, the presented scheme has numerically stable behavior. After demonstrating the convergence and accuracy of the method, the effects of velocity parameters on the viscosity distribution are studied. It is found that element differential quadrature method provides highly accurate an exact series solution for Burgers, equation, while a small number of grid points is needed. @JASEM
Keywords: Burgers, Equation, Differential quadrature method, Exact Series
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| format | Article |
| id | doaj-art-bf512b875c354e11b097dc4e7caced9b |
| institution | Kabale University |
| issn | 2659-1502 2659-1499 |
| language | English |
| publishDate | 2013-07-01 |
| publisher | Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) |
| record_format | Article |
| series | Journal of Applied Sciences and Environmental Management |
| spelling | doaj-art-bf512b875c354e11b097dc4e7caced9b2025-02-08T19:52:05ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992013-07-01161Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature MethodM VaghefiH RahidehMR Golbaher HaghighiAK Manshad This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. This equation is similar to, but simpler than, the Navier-Stokes equation in fluid dynamics. To verify this advantage through some comparison studies, an exact series solution are also obtained. In addition, the presented scheme has numerically stable behavior. After demonstrating the convergence and accuracy of the method, the effects of velocity parameters on the viscosity distribution are studied. It is found that element differential quadrature method provides highly accurate an exact series solution for Burgers, equation, while a small number of grid points is needed. @JASEM Keywords: Burgers, Equation, Differential quadrature method, Exact Series https://www.Ajol.Info/index.php/jasem/article/view/90773 |
| spellingShingle | M Vaghefi H Rahideh MR Golbaher Haghighi AK Manshad Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method Journal of Applied Sciences and Environmental Management |
| title | Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method |
| title_full | Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method |
| title_fullStr | Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method |
| title_full_unstemmed | Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method |
| title_short | Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method |
| title_sort | distributed approximating functional approach to burgers equation using element differential quadrature method |
| url | https://www.Ajol.Info/index.php/jasem/article/view/90773 |
| work_keys_str_mv | AT mvaghefi distributedapproximatingfunctionalapproachtoburgersequationusingelementdifferentialquadraturemethod AT hrahideh distributedapproximatingfunctionalapproachtoburgersequationusingelementdifferentialquadraturemethod AT mrgolbaherhaghighi distributedapproximatingfunctionalapproachtoburgersequationusingelementdifferentialquadraturemethod AT akmanshad distributedapproximatingfunctionalapproachtoburgersequationusingelementdifferentialquadraturemethod |