Approximation of the Huxley equation with nonstandard  nite-difference scheme

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NAMJOO M.; ZIBAEI S.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2019 | Volume:9 | Issue:1 (15) Page(s): 17-35

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Information Journal Paper

Title

Approximation of the Huxley equation with nonstandard nite-difference scheme

Author(s)

NAMJOO M. | ZIBAEI S. | Issue Writer Certificate

Keywords

The Huxley equationQ1

Nonstandard Q1

nite-difference schemeQ1

Positivity and boundednessQ3

ConsistencyQ1

StabilityQ1

ConvergenceQ1

Abstract

In this paper, an explicit exact nite-difference scheme for The Huxley equation is presented based on the Nonstandard ; nite-difference (NSFD) scheme. Afterwards, an NSFD scheme is proposed for the numerical solu-tion of The Huxley equation. The Positivity and boundedness of the scheme is discussed. It is shown through analysis that the proposed scheme is consis-tent, stable, and Convergence. The numerical results obtained by the NSFD scheme is compared with the exact solution and some available methods, to verify the accuracy and efficiency of the NSFD scheme.

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APA: Copy

NAMJOO, M., & ZIBAEI, S.. (2019). Approximation of the Huxley equation with nonstandard nite-difference scheme. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 9(1 (15) ), 17-35. SID. https://sid.ir/paper/260828/en

Vancouver: Copy

NAMJOO M., ZIBAEI S.. Approximation of the Huxley equation with nonstandard nite-difference scheme. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2019;9(1 (15) ):17-35. Available from: https://sid.ir/paper/260828/en

IEEE: Copy

M. NAMJOO, and S. ZIBAEI, “Approximation of the Huxley equation with nonstandard nite-difference scheme,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 9, no. 1 (15) , pp. 17–35, 2019, [Online]. Available: https://sid.ir/paper/260828/en

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