Numerical Solution of Parabolic Equation on a 2-D Infinite Strip with Composite Hermite-Legendre Spectral Method

Ting Jing Zhao

doi:10.4028/www.scientific.net/AMR.647.875

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 647Numerical Solution of Parabolic Equation on a 2-D...

Numerical Solution of Parabolic Equation on a 2-D Infinite Strip with Composite Hermite-Legendre Spectral Method

Abstract:

For solving numerically parabolic differential equation on a two-dimensional infinite strip, composite Hermite-Legendre Galerkin method is proposed in this article. By making use of stabilised scaled factor, the proposed method achieves stability. We also establish the convergence result for the proposed method. Numerical tests conduct for the model problem. It is shown that the proposed method is efficient.

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Periodical:

Advanced Materials Research (Volume 647)

Pages:

875-879

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.647.875

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Online since:

January 2013

Authors:

Ting Jing Zhao

Keywords:

Composite Hermite-Legendre Spectral Method, Convergence, Numerical Solution, Parabolic Equation on a Strip, Stability

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References

[1] C. Bernardi and Y. Maday: Spectral methods, in Handbook of Numerical Analysis, Vol. V, Techniques of Scientific Computing (Part 2), P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1997, p.209–486.

DOI: 10.1016/s1570-8659(97)80003-8

Google Scholar

[2] Roger Peyret: Spectral Methods for Incompressible Viscous Flow. Springer, New York, (2002).

Google Scholar

[3] B. Y. Guo and J. Shen: Numer. Math., 86 (2000), p.635.

Google Scholar

[4] D. Funaro and O. Kavian: Math. Comp., 57 (1991), p.597.

Google Scholar

[5] B. Y. Guo and C. L. Xu: M2AN Math. Model. Numer. Anal., 34 (2000), p.859.

Google Scholar

[6] T. Tang: SIAM J. Sci. Comput., 14 (1993), p.594.

Google Scholar