A doubly fitted finite difference method for singularly perturbed problems

A doubly fitted finite difference method for singularly perturbed problems

We propose a new parameter-uniform scheme that capitalises on the layer resolving property of the fitted mesh finite difference methods and the higher nodal accuracy of the fitted operator finite difference methods. We refer to this new scheme as the doubly fitted finite difference method.

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Bibliographische Detailangaben
1. Verfasser: Munyakazi, Justin B.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Finite difference method
Mathematical analysis
Singular perturbation methods
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Beschreibung
Zusammenfassung:We propose a new parameter-uniform scheme that capitalises on the layer resolving property of the fitted mesh finite difference methods and the higher nodal accuracy of the fitted operator finite difference methods. We refer to this new scheme as the doubly fitted finite difference method.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0162278