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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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
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spelling doaj-811c55dc387f4199ba8d541c6811e9dc2021-09-05T21:02:04ZengSciendoInternational Journal of Applied Mechanics and Engineering2353-90032021-06-0126216017210.2478/ijame-2021-0025Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential SplinesPadmaja P.0Aparna P.1Gorla Rama Subba Reddy2Pothanna N.3Department of Mathematics, Prasad V Potluri Siddhartha Institute of TechnologyVijayawada-520007, Andhra Pradesh, IndiaDepartment of Mathematics, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR VJIET)Bachupaly, Hyderabad-500090, IndiaDepartment of Aeronautics and Astronautics, Air Force Institute of Technology, Wright Patterson Air Force Base Dayton, Ohio 45433, USADepartment of Mathematics, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR VJIET)Bachupaly, Hyderabad-500090, IndiaIn 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.https://doi.org/10.2478/ijame-2021-0025singular perturbationconvection-diffusion problemexponential splinesnumerical convergence
collection DOAJ
language English
format Article
sources DOAJ
author Padmaja P.
Aparna P.
Gorla Rama Subba Reddy
Pothanna N.
spellingShingle Padmaja P.
Aparna P.
Gorla Rama Subba Reddy
Pothanna N.
Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
International Journal of Applied Mechanics and Engineering
singular perturbation
convection-diffusion problem
exponential splines
numerical convergence
author_facet Padmaja P.
Aparna P.
Gorla Rama Subba Reddy
Pothanna N.
author_sort Padmaja P.
title Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
title_short Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
title_full Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
title_fullStr Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
title_full_unstemmed Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
title_sort numerical solution of singularly perturbed two parameter problems using exponential splines
publisher Sciendo
series International Journal of Applied Mechanics and Engineering
issn 2353-9003
publishDate 2021-06-01
description 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.
topic singular perturbation
convection-diffusion problem
exponential splines
numerical convergence
url https://doi.org/10.2478/ijame-2021-0025
work_keys_str_mv AT padmajap numericalsolutionofsingularlyperturbedtwoparameterproblemsusingexponentialsplines
AT aparnap numericalsolutionofsingularlyperturbedtwoparameterproblemsusingexponentialsplines
AT gorlaramasubbareddy numericalsolutionofsingularlyperturbedtwoparameterproblemsusingexponentialsplines
AT pothannan numericalsolutionofsingularlyperturbedtwoparameterproblemsusingexponentialsplines
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