Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline

Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline

In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation. The method is proven to be unconditionally stable by using Von Neumann te...

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Main Authors: Ravi Kanth A.S.V., Deepika
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20165705004
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spelling doaj-0f247d043d3c4a438e6e461c1a4204db2021-02-02T00:37:07ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01570500410.1051/matecconf/20165705004matecconf_icaet2016_05004Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial SplineRavi Kanth A.S.V.0Deepika1Department of Mathematics, National Institute of Technology KurukshetraDepartment of Mathematics, National Institute of Technology KurukshetraIn this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation. The method is proven to be unconditionally stable by using Von Neumann technique. Numerical results are illustrated to demonstrate the efficiency and stability of the purposed method.http://dx.doi.org/10.1051/matecconf/20165705004
collection DOAJ
language English
format Article
sources DOAJ
author Ravi Kanth A.S.V.
Deepika
spellingShingle Ravi Kanth A.S.V.
Deepika
Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
MATEC Web of Conferences
author_facet Ravi Kanth A.S.V.
Deepika
author_sort Ravi Kanth A.S.V.
title Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
title_short Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
title_full Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
title_fullStr Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
title_full_unstemmed Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
title_sort numerical solutions for convection-diffusion equation through non-polynomial spline
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2016-01-01
description In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation. The method is proven to be unconditionally stable by using Von Neumann technique. Numerical results are illustrated to demonstrate the efficiency and stability of the purposed method.
url http://dx.doi.org/10.1051/matecconf/20165705004
work_keys_str_mv AT ravikanthasv numericalsolutionsforconvectiondiffusionequationthroughnonpolynomialspline
AT deepika numericalsolutionsforconvectiondiffusionequationthroughnonpolynomialspline
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