Numerical study of time delay singularly perturbed parabolic differential equations involving both small positive and negative space shifts

• Autorzy: Sahu Subal Ranjan , Mohapatra Jugal

Identyfikatory

DOI

10.1515/jaa-2021-2064

• Języki publikacji: EN

Abstrakty

EN

A time dependent singularly perturbed differential-difference equation is considered. The problem involves time delay and general small space shift terms. Taylor series approximation is used to expand the space shift term. A robust numerical scheme based on the backward Euler scheme for the time and classical upwind scheme for space is proposed. The convergence analysis is carried out. It is observed that the proposed scheme converges almost first order up to a logarithm term and optimal first order in space on the Shishkin and Bakhvalov-Shishkin mesh, respectively. Numerical results confirm the efficiency of the proposed scheme, which are in agreement with the theoretical bounds.

Słowa kluczowe

EN

singular perturbation; space and time delay; upwind scheme; Shishkin-type meshes; uniform convergence

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 121--134
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Sahu Subal Ranjan

• Faculty of Science and Technology, The ICFAI University Tripura, Kamalghat, West Tripura, Tripura 799210, India

autor

Mohapatra Jugal

• Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).