RBF Meshless Method of Lines for the Numerical Solution of Nonlinear Sine-Gordon Equation
Keywords:
MOL, RBF, sine-Gordon equation, single soliton, soliton doubletsAbstract
In this paper, a meshless method of lines (MOL) is applied for the numerical solution of nonlinear sine-Gordon equations. This technique does not require a mesh in the problem domain, and only a set of scattered nodes provided by initial data is required for the solution of the problem using some radial basis functions (RBF). The scheme is tested for single solitons, collision of breathers and soliton doublets. The results obtained from the method are compared with the exact solutions and earlier work.doi:10.14456/WJST.2014.49
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