Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOLVING PARTIAL DIFFERENTIAL ALGEBRAIC EQUATIONS BY COLLOCATION AND RADIAL BASIS FUNCTIONS

  • Bao, Wendi (School of Mathematical Sciences, Nanjing Normal University, School of Mathematic and Computational science, China University of Petroleum) ;
  • Song, Yongzhong (School of Mathematical Sciences, Nanjing Normal University)
  • Received : 2011.10.23
  • Accepted : 2012.02.07
  • Published : 2012.09.30
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Abstract

In this paper, we propose a class of meshless collocation approaches for the solution of time dependent partial differential algebraic equations (PDAEs) in terms of a radial basis function interpolation numerical scheme. Kansa's method and the Hermite collocation method (HCM) for PDAEs are given. A sensitivity analysis of the solutions from different shape parameter c is obtained by numerical experiments. With use of the random collocation points, we have obtain the more accurate solution by the methods than those by the finite difference method for the PDAEs with index-2, i.e, we avoid the influence from an index jump of PDAEs in some degree. Several numerical experiments show that the methods are efficient.

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References

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