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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Bibliographic Details
Main Authors: Padmaja P., Aparna P., Gorla Rama Subba Reddy, Pothanna N.
Format: Article
Language:English
Published: Sciendo 2021-06-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
singular perturbation
convection-diffusion problem
exponential splines
numerical convergence
Online Access:https://doi.org/10.2478/ijame-2021-0025
Description
Summary: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:2353-9003

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