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

@article{Shodja2009ANS, 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}, year={2009}, volume={13}, pages={17-34} }

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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