A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid
In this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme. Layer adaptive meshes are generated via an entropy production operator. The details of the location and...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2018-10-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/379 |
| _version_ | 1818872032368001024 |
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| author | Pramod P. Chakravarthy Trun Gupta Nageshwar R. Rao |
| author_facet | Pramod P. Chakravarthy Trun Gupta Nageshwar R. Rao |
| author_sort | Pramod P. Chakravarthy |
| collection | DOAJ |
| description | In this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme. Layer adaptive meshes are generated via an entropy production operator. The details of the location and width of the layer is not required in the proposed method unlike the popular layer adaptive meshes mainly by Bakhvalov and Shishkin. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method. |
| first_indexed | 2024-12-19T12:32:22Z |
| format | Article |
| id | doaj.art-18777f1fd4864289811369d33659e5c7 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T12:32:22Z |
| publishDate | 2018-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-18777f1fd4864289811369d33659e5c72022-12-21T20:21:15ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102018-10-0123410.3846/mma.2018.041A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive gridPramod P. Chakravarthy0Trun Gupta1Nageshwar R. Rao2Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, IndiaDepartment of Mathematics, Visvesvaraya National Institute of Technology Nagpur, 440010, IndiaSchool of Advanced Sciences, VIT University, Vellore, Tamil Nadu 632014, IndiaIn this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme. Layer adaptive meshes are generated via an entropy production operator. The details of the location and width of the layer is not required in the proposed method unlike the popular layer adaptive meshes mainly by Bakhvalov and Shishkin. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method.https://journals.vgtu.lt/index.php/MMA/article/view/379singular perturbationentropy like variabledelay differential equationlayer adaptive meshescentral finite difference schemeconvection-diffusion problem |
| spellingShingle | Pramod P. Chakravarthy Trun Gupta Nageshwar R. Rao A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid Mathematical Modelling and Analysis singular perturbation entropy like variable delay differential equation layer adaptive meshes central finite difference scheme convection-diffusion problem |
| title | A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid |
| title_full | A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid |
| title_fullStr | A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid |
| title_full_unstemmed | A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid |
| title_short | A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid |
| title_sort | numerical scheme for singularly perturbed delay differential equations of convection diffusion type on an adaptive grid |
| topic | singular perturbation entropy like variable delay differential equation layer adaptive meshes central finite difference scheme convection-diffusion problem |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/379 |
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