Publication: Non-Polynomial Spline Method For A Singularly Perturbed Convection-Dominated Diffusion Equation
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Date
2010
Authors
Çağlar, Hikmet
Uçar, Mehmet Fatih
Yıldırım, Mesut
Journal Title
Journal ISSN
Volume Title
Publisher
Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria
Abstract
In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different perturbed values (epsilon) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.
Description
Keywords
Perturbed convection-dominated diffusion equation, non-polynomial spline, Tedirgin konveksiyon hakim difüzyon denklemi, olmayan polinom spline