DOAJ Open Access 2023

A Fitted Numerical Approach for Singularly Perturbed Two-Parameter Parabolic Problem with Time Delay

Imiru Takele Daba Wondwosen Gebeyaw Melesse Guta Demisu Kebede

Abstrak

This paper is aimed at constructing and analyzing a fitted approach for singularly perturbed time delay parabolic problems with two small parameters. The proposed computational scheme comprises the implicit Euler and especially finite difference method for the time and space variable discretization, respectively, on uniform step size. The stability and convergence analysis of the method is provided and is first-order parameter uniform convergent. Further, the numerical results depict that the present method is more convergent than some methods available in the literature.

Penulis (3)

I

Imiru Takele Daba

W

Wondwosen Gebeyaw Melesse

G

Guta Demisu Kebede

Format Sitasi

Daba, I.T., Melesse, W.G., Kebede, G.D. (2023). A Fitted Numerical Approach for Singularly Perturbed Two-Parameter Parabolic Problem with Time Delay. https://doi.org/10.1155/2023/6496354

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Informasi Jurnal
Tahun Terbit
2023
Sumber Database
DOAJ
DOI
10.1155/2023/6496354
Akses
Open Access ✓