Version 1
: Received: 7 October 2023 / Approved: 7 October 2023 / Online: 7 October 2023 (09:31:16 CEST)
How to cite:
Ejere, A.H.; Duressa, G.F. A Fitted Numerical Scheme with Algorithm for Singularly Perturbed Parabolic Partial Differential Equations with Large Negative Shift. Preprints2023, 2023100406. https://doi.org/10.20944/preprints202310.0406.v1
Ejere, A.H.; Duressa, G.F. A Fitted Numerical Scheme with Algorithm for Singularly Perturbed Parabolic Partial Differential Equations with Large Negative Shift. Preprints 2023, 2023100406. https://doi.org/10.20944/preprints202310.0406.v1
Ejere, A.H.; Duressa, G.F. A Fitted Numerical Scheme with Algorithm for Singularly Perturbed Parabolic Partial Differential Equations with Large Negative Shift. Preprints2023, 2023100406. https://doi.org/10.20944/preprints202310.0406.v1
APA Style
Ejere, A.H., & Duressa, G.F. (2023). A Fitted Numerical Scheme with Algorithm for Singularly Perturbed Parabolic Partial Differential Equations with Large Negative Shift. Preprints. https://doi.org/10.20944/preprints202310.0406.v1
Chicago/Turabian Style
Ejere, A.H. and Gemechis File Duressa. 2023 "A Fitted Numerical Scheme with Algorithm for Singularly Perturbed Parabolic Partial Differential Equations with Large Negative Shift" Preprints. https://doi.org/10.20944/preprints202310.0406.v1
Abstract
This research work deals with the formulation of numerical scheme with algorithm to compute singularly perturbed partial differential equations(SP-PDEs) involving a significant negative shift. The problem involves small parameter which causes a rapidly changing boundary layers in the vicinity of a body, and the negative shift term causes interior layer. Such appearance of an abruptly varying layers causes difficulties to find the exact solution and it is not adequate to employ classical numerical methods. The technique presented in this research work simplifies these challenges and yields accurate numerical solution.The stability and convergence analyses of the methods are examined and proven. To test the developed technique, numerical experiments are carried out and confirmed with theoretical analysis.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
