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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Bibliographic Details
Main Authors: Ravi Kanth, A.S.V., Deepika
Format: Conference Proceeding
Language:English
Subjects:
Convection-diffusion equation
Diffusion
Polynomials
Spline functions
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Online Access:Get full text
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Summary: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.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/20165705004