RBFS MESHLESS METHOD OF LINES BASEDON ADAPTIVE NODES FOR BURGERS'EQUATIONS

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SOHEILI A.R.; ARAB AMERI M.; BARFEIE M.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2015 | Volume:5 | Issue:1 Page(s): 49-61

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Information Journal Paper

Title

RBFS MESHLESS METHOD OF LINES BASEDON ADAPTIVE NODES FOR BURGERS'EQUATIONS

Author(s)

SOHEILI A.R. | ARAB AMERI M. | BARFEIE M. | Issue Writer Certificate

Keywords

METHOD OF LINESQ2

RADIAL BASIS FUNCTIONSQ2

ADAPTIVE METHODQ2

BURGERS' EQUATIONSQ2

Abstract

We introduce a RBFs mesheless METHOD OF LINES that decomposes theinterior and boundary centers to obtain the numerical solution of the timedependent PDEs. Then, the method is applied with an adaptive algorithmto obtain the numerical solution of one dimensional problems. We show thatin the problems in which the solutions contain region with rapid variation, the adaptive RBFs methods are successful so that the PDE solution can beapproximated well with a small number of basis functions. The method isdescribed in detail, and computational experiments are performed for one-dimensional BURGERS' EQUATIONS.

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APA: Copy

SOHEILI, A.R., ARAB AMERI, M., & BARFEIE, M.. (2015). RBFS MESHLESS METHOD OF LINES BASEDON ADAPTIVE NODES FOR BURGERS'EQUATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 5(1 ), 49-61. SID. https://sid.ir/paper/260852/en

Vancouver: Copy

SOHEILI A.R., ARAB AMERI M., BARFEIE M.. RBFS MESHLESS METHOD OF LINES BASEDON ADAPTIVE NODES FOR BURGERS'EQUATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2015;5(1 ):49-61. Available from: https://sid.ir/paper/260852/en

IEEE: Copy

A.R. SOHEILI, M. ARAB AMERI, and M. BARFEIE, “RBFS MESHLESS METHOD OF LINES BASEDON ADAPTIVE NODES FOR BURGERS'EQUATIONS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 5, no. 1 , pp. 49–61, 2015, [Online]. Available: https://sid.ir/paper/260852/en

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