A Meshless Method for Solving the Mathematical Model Associated the Leakage Problem in Gas Pipeline

Jun Shan Li

doi:10.4028/www.scientific.net/AMR.986-987.1418

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 986-987A Meshless Method for Solving the Mathematical...

A Meshless Method for Solving the Mathematical Model Associated the Leakage Problem in Gas Pipeline

Abstract:

In this paper, we propose a meshless method for solving the mathematical model concerning the leakage problem when the pressure is tested in the gas pipeline. The method of radial basis function (RBF) can be used for solving partial differential equation by writing the solution in the form of linear combination of radius basis functions, that is, when integrating the definite conditions, one can find the combination coefficients and then the numerical solution. The leak problem is a kind of inverse problem that is focused by many engineers or mathematical researchers. The strength of the leak can find easily by the additional conditions and the numerical solutions.

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Periodical:

Advanced Materials Research (Volumes 986-987)

Pages:

1418-1421

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.986-987.1418

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Online since:

July 2014

Authors:

Jun Shan Li*

Keywords:

Gas Pipeline, Leakage Problem, Meshless Method

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References

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