Robust numerical methods for singularly perturbed parabolic PDEs with interior and boundary layers

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dc.contributor.author Majumdar, Anirban
dc.date.accessioned 2019-07-16T05:43:13Z
dc.date.available 2019-07-16T05:43:13Z
dc.date.issued 2017
dc.identifier.other ROLL NO.126123004
dc.identifier.uri http://gyan.iitg.ernet.in/handle/123456789/1271
dc.description Supervisor: Natesan Srinivasan en_US
dc.description.abstract This thesis provides some uniformly convergent numerical methods for solving singularly perturbed convection-diffusion problems with boundary or/and interior layers. A differential equation becomes singularly perturbed when a small parameter is multiplying with the highest-order derivative. The solutions of these types of problems exhibit thin boundary or/and interior layers when the small parameter tends to zero. Because of layer appearing in the solution, the classical numerical method on the uniform mesh may fail. To construct an uniformly convergent numerical scheme to this type of problem, one has to reduce the mesh size in comparison with the small parameter.The main aim of this thesis is to apply, analyze and optimize ε-uniform fitted mesh methods (FMMs) for solving different types of singularly perturbed convection-diffusion problems with boundary or/and interior layers in 1D and 2D. en_US
dc.language.iso en en_US
dc.relation.ispartofseries TH-1995;
dc.subject MATHEMATICS en_US
dc.title Robust numerical methods for singularly perturbed parabolic PDEs with interior and boundary layers en_US
dc.type Thesis en_US


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