A Numerical Solution of 2D Buckley-Leverett Equation via Gradient Reproducing Kernel Particle Method

  title={A Numerical Solution of 2D Buckley-Leverett Equation via Gradient Reproducing Kernel Particle Method},
  author={Hossein M. Shodja and Ali Hashemian},
  journal={Cmes-computer Modeling in Engineering \& Sciences},
  • H. ShodjaAli Hashemian
  • Published 1 December 2009
  • Computer Science
  • Cmes-computer Modeling in Engineering & Sciences
Summary Gradient reproducing kernel particle method (GRKPM) is a meshless technique which incorporates the first gradients of the function into the reproducing equation of RKPM. Therefore, in two-dimensionalspace GRKPM introducesthree types of shape functions rather than one. The robustness of GRKPM’s shape functions is established by reconstruction of a third-order polynomial. To enforce the essential boundary conditions (EBCs), GRKPM’s shape functions are modified by transformation technique… 

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