Fitted Operator Average Finite Difference Method for Solving Singularly Perturbed Parabolic Convection- Diffusion Problems

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AuteurDEGLA, AYMARD GUY
AuteurBULLO, TESFAYE AGA
AuteurDURESSA, GEMECHIS FILE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeIn this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methods.
DOI10.24107/ijeas.567374
Autre identifiantBECDB-9267
URIhttps://dspace.uac.bj/handle/123456789/8288
Languefr
Fait partie deInternational Journal of Engineering & Applied Sciences (IJEAS)
SujetFitted operator
Sujetsingular perturbation
Sujetparabolic problems
Sujetfinite difference
TitreFitted Operator Average Finite Difference Method for Solving Singularly Perturbed Parabolic Convection- Diffusion Problems
TypeArticle

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