Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow

dc.contributor.advisorPatidar, Kailash C.
dc.contributor.authorBuzuzi, George
dc.date.accessioned2014-09-10T10:58:37Z
dc.date.accessioned2024-11-07T10:51:23Z
dc.date.available2014-09-10T10:58:37Z
dc.date.available2024-11-07T10:51:23Z
dc.date.issued2011
dc.descriptionPhilosophiae Doctor - PhDen_US
dc.description.abstractIn this thesis, we consider some nonlinear differential models that govern unsteady magneto-hydrodynamic convective flow and mass transfer of viscous, incompressible,electrically conducting fluid past a porous plate with/without heat sources. The study focusses on the effect of a combination of a number of physical parameters (e.g., chemical reaction, suction, radiation, soret effect,thermophoresis and radiation absorption) which play vital role in these models.Non dimensionalization of these models gives us sets of differential equations. Reliable solutions of such differential equations can-not be obtained by standard numerical techniques. We therefore resorted to the use of the singular perturbation approaches. To proceed, each of these model problems is discretized in time by using a suitable time-stepping method and then by using a fitted operator finite difference method in spatial direction. The combined methods are then analyzed for stability and convergence. Aiming to study the robustness of the proposed numerical schemes with respect to change in the values of the key parame- ters, we present extensive numerical simulations for each of these models. Finally, we confirm theoretical results through a set of specificc numerical experiments.en_US
dc.identifier.urihttps://hdl.handle.net/10566/19453
dc.language.isoenen_US
dc.subjectMagneto-Hydrodynamic flowsen_US
dc.subjectPorus mediaen_US
dc.subjectDifferential equation modelsen_US
dc.subjectThermal radiationen_US
dc.subjectDiffusionen_US
dc.subjectSingular perturbation methodsen_US
dc.subjectFinite difference methodsen_US
dc.subjectConvergence and Stability analysisen_US
dc.titleFitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flowen_US
dc.typeThesisen_US

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