A Second Order Stabilized Central Difference Method for Singularly Perturbed Differential Equations with a Large Negative Shift

In this paper a stabilized central difference method is presented for the boundary value problem of singularly perturbed differential equations with a large negative shift. The central difference approximations for the derivatives are modified by re-approximating the error terms, leading to a stabil...

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Bibliographic Details
Published in:Differential equations and dynamical systems 2023-10, Vol.31 (4), p.787-804
Main Authors: Kumar, N. Sathya, Rao, R. Nageshwar
Format: Article
Language:English
Subjects:
Approximation
Boundary value problems
Computer Science
Differential equations
Engineering
Mathematical analysis
Mathematics
Mathematics and Statistics
Original Research
Singular perturbation methods
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Summary:In this paper a stabilized central difference method is presented for the boundary value problem of singularly perturbed differential equations with a large negative shift. The central difference approximations for the derivatives are modified by re-approximating the error terms, leading to a stabilizing effect. The method is found to be second order convergent. Several numerical examples are solved to demonstrate the efficiency of the method.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-020-00532-w