Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation. For nonlinear term, nonstandard finite difference method by nonlocal approximation is utilized. We describe the m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-12-01
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| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447916301484 |
| Summary: | In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation. For nonlinear term, nonstandard finite difference method by nonlocal approximation is utilized. We describe the mathematical formulation procedure in detail and also analyze the stability and convergence of the method. Numerical results are provided to justify the good performance of the proposed scheme. Keywords: Convection-Reaction-Diffusion equation, Tension spline, Nonstandard finite difference, Implicit scheme, Convergence analysis, MSC: 65M06, 12, 99 |
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| ISSN: | 2090-4479 |