Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations
In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments.
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Sociedade Brasileira de Matemática Aplicada e Computacional
2005
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oai:scielo:S1807-030220050002000012005-11-07Numerical treatment of boundary value problems for second order singularly perturbed delay differential equationsKadalbajoo,M.K.Sharma,K.K. delay differential equation singularly perturbed boundary value problem boundary layer oscillations In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e ComputacionalComputational & Applied Mathematics v.24 n.2 20052005-08-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000200001en10.1590/S0101-82052005000200001 |
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Kadalbajoo,M.K. Sharma,K.K. |
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Kadalbajoo,M.K. Sharma,K.K. Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| author_facet |
Kadalbajoo,M.K. Sharma,K.K. |
| author_sort |
Kadalbajoo,M.K. |
| title |
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| title_short |
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| title_full |
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| title_fullStr |
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| title_full_unstemmed |
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| title_sort |
numerical treatment of boundary value problems for second order singularly perturbed delay differential equations |
| description |
In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments. |
| publisher |
Sociedade Brasileira de Matemática Aplicada e Computacional |
| publishDate |
2005 |
| url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000200001 |
| work_keys_str_mv |
AT kadalbajoomk numericaltreatmentofboundaryvalueproblemsforsecondordersingularlyperturbeddelaydifferentialequations AT sharmakk numericaltreatmentofboundaryvalueproblemsforsecondordersingularlyperturbeddelaydifferentialequations |
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1756431719222738944 |