Convergence and stability analysis of modified backward time centered space approach for non-dimensionalizing parabolic equation

Volume 7, Issue 1, pp 11--17 http://dx.doi.org/10.22436/jnsa.007.01.02

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Authors

Khosro Sayevand - Faculty of Mathematical Sciences, Malayer University, Malayer, Iran.

Abstract

The present paper is motivated by the desire to obtain the numerical solution of the heat equation. A finite-difference schemes is introduced to obtain the solution. The convergence and stability analysis of the proposed approach is discussed and compared.

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Keywords

• Convergence analysis
• Finite-difference schemes
• Heat equation
• Stability.

MSC

•  34A08
•  49S05

References

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