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- Title
An efficient numerical approach for singularly perturbed time delayed parabolic problems with two-parameters.
- Authors
Daba, Imiru Takele; Melesse, Wondewosen Gebeyaw; Gelu, Fasika Wondimu; Kebede, Guta Demisu
- Abstract
Objectives: The main objective of this work is to design an efficient numerical scheme is proposed for solving singularly perturbed time delayed parabolic problems with two parameters. Results: The scheme is constructed via the implicit Euler and non-standard finite difference method to approximate the time and space derivatives, respectively. Besides, to enhance the accuracy and order of convergence of the method Richardson extrapolation technique is employed. Intensive numerical experimentation has been done on some model examples. Further, the layer behavior of the solutions is presented using graphs and observed to agree with the existing theories. Finally, error analysis of the scheme is done and observed that the proposed method is parameter uniform convergent with the order of convergence (Δ t) 2 + h 2
- Subjects
FINITE difference method; SINGULAR perturbations; EXTRAPOLATION; WORK design
- Publication
BMC Research Notes, 2024, Vol 17, Issue 1, p1
- ISSN
1756-0500
- Publication type
Article
- DOI
10.1186/s13104-024-06813-9