The Meshless Reproducing Kernel Particle Method for Two-Dimensional Linear Hyperbolic Equations

作者: Hai Na Sun , Rong Jun Cheng

DOI: 10.4028/WWW.SCIENTIFIC.NET/AMR.365.73

关键词: Kernel (statistics)Variational methodBoundary value problemMathematicsHyperbolic partial differential equationParticle methodRegularized meshless methodSingular boundary methodMathematical analysisPenalty method

摘要: The meshless reproducing kernel particle method (RKPM) is used to find the numerical solution of a kind hyperbolic equations. A variational obtain discrete equations and essential boundary conditions are enforced by penalty method. effectiveness RKPM for two-dimensional problems investigated example in this paper.

参考文章(3)
Milton Lees, Alternating Direction Methods for Hyperbolic Differential Equations Journal of The Society for Industrial and Applied Mathematics. ,vol. 10, pp. 610- 616 ,(1962) , 10.1137/0110046
R. K. Mohanty, Kochurani George, M. K. Jain, High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations International Journal of Computer Mathematics. ,vol. 56, pp. 185- 198 ,(1995) , 10.1080/00207169508804400
A. R. Gourlay, A. R. Mitchell, A Classification of Split Difference Methods for Hyperbolic Equations in Several Space Dimensions SIAM Journal on Numerical Analysis. ,vol. 6, pp. 62- 71 ,(1969) , 10.1137/0706006