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: Conference Proceeding
Language:English
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Convection-diffusion equation
Diffusion
Polynomials
Spline functions
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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.
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subjects Convection-diffusion equation
Diffusion
Polynomials
Spline functions
title Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
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