The Meshless Method for Numerical Solution of Modified Equal Width Wave (MEW) Equation
The reproducing kernel particle method (RKPM) is used in this paper to find the numerical solution of modified equal width wave (MEW) equation. A variational method is used to obtain the discrete equations, and the essential boundary conditions are enforced by the penalty method. The effectiveness of the RKPM for the modified equal width equation is investigated by two numerical examples in this paper.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
R. J. Cheng and H. X. Ge, "The Meshless Method for Numerical Solution of Modified Equal Width Wave (MEW) Equation", Applied Mechanics and Materials, Vols. 101-102, pp. 1130-1133, 2012