NUMERICAL STUDY OF THE NONLINEARCAUCHY DI USION PROBLEM ANDNEWELL-WHITEHEAD EQUATION VIA CUBICB-SPLINE QUASI-INTERPOLATION

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AMINIKHAH H.; ALAVI J.

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ISSN: 2588-4824

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2015 | Volume:5 | Issue:1 Page(s): 63-72

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Title

NUMERICAL STUDY OF THE NONLINEARCAUCHY DI USION PROBLEM ANDNEWELL-WHITEHEAD EQUATION VIA CUBICB-SPLINE QUASI-INTERPOLATION

Author(s)

AMINIKHAH H. | ALAVI J. | Issue Writer Certificate

Keywords

BQ2

SPLINE QUASIQ2

INTERPOLATIONQ2

CONVECTIONQ2

DIFFUSION EQUATIONQ2

DIFFERENCE SCHEMESQ2

Abstract

In this article, a numerical approximation to the solution of the Newell-Whitehead equation (NWE) and Cauchy problem of ill-posed non-linear dif-fusion equation have been studied. The presented scheme is obtained byusing the derivative of the cubic B-SPLINE QUASI-INTERPOLATION (BSQI) to ap-proximate the spatial derivative of the dependent variable and rst orderforward di erence to approximate the time derivative of the dependent vari-able. Some numerical experiments are provided to illustrate the method. The results of numerical experiments are compared with analytical solutions. The main advantage of the scheme is that the algorithm is very simple andvery easy to implement.

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APA: Copy

AMINIKHAH, H., & ALAVI, J.. (2015). NUMERICAL STUDY OF THE NONLINEARCAUCHY DI USION PROBLEM ANDNEWELL-WHITEHEAD EQUATION VIA CUBICB-SPLINE QUASI-INTERPOLATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 5(1 ), 63-72. SID. https://sid.ir/paper/260853/en

Vancouver: Copy

AMINIKHAH H., ALAVI J.. NUMERICAL STUDY OF THE NONLINEARCAUCHY DI USION PROBLEM ANDNEWELL-WHITEHEAD EQUATION VIA CUBICB-SPLINE QUASI-INTERPOLATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2015;5(1 ):63-72. Available from: https://sid.ir/paper/260853/en

IEEE: Copy

H. AMINIKHAH, and J. ALAVI, “NUMERICAL STUDY OF THE NONLINEARCAUCHY DI USION PROBLEM ANDNEWELL-WHITEHEAD EQUATION VIA CUBICB-SPLINE QUASI-INTERPOLATION,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 5, no. 1 , pp. 63–72, 2015, [Online]. Available: https://sid.ir/paper/260853/en

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