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Showing 1 to 3 of 3 for “"Fitted operator finite difference methods"”.
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High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
Fitted operator finite difference methods (FOFDMs) for singularly perturbed problems have been explored for the last three decades. The construction of these numerical schemes is based on introducing a fitting factor along with the diffusion coefficient or by using principles of the non-standard …
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Efficient variable mesh techniques to solve interior layer problems
… This explains the need for approximation methods to gain some insight into the behaviour of the solution of such problems. Keeping this in mind, in this thesis we would like to explore a special class of numerical methods, namely, fitted finite difference methods to determine reliable …
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Numerical Treatment of Non-Linear singular pertubation problems
… and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past decade. By considering two test problems, rigorous asymptotic analysis is carried out. Based on this …