Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines

Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines

In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines. Numerical results are tabulated for different values of the...

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Veröffentlicht in:International Journal of Applied Mechanics and Engineering 2021-06, Vol.26 (2), p.160-172
Hauptverfasser: Padmaja, P., Aparna, P., Gorla, Rama Subba Reddy, Pothanna, N.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Boundary value problems
convection-diffusion problem
Exact solutions
exponential splines
Methods
Numerical analysis
numerical convergence
Ordinary differential equations
Parameters
Perturbation
Reynolds number
River networks
singular perturbation
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Beschreibung
Zusammenfassung:In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines. Numerical results are tabulated for different values of the perturbation parameters. From the numerical results, it is found that the method approximates the exact solution very well.
ISSN:1734-4492
2353-9003
DOI:10.2478/ijame-2021-0025