THE MESHLESS KERNEL-BASED METHOD OF LINES FOR SOLVING THE DISSIPATIVE GENERALIZED SRLW EQUATIONS WITH DAMPING TERM

In this study, we dealt with numerical solutions of the dissipative generalized symmetric regularized long wave equations with damping term. The problem is a nonlinear partial differential equations system. Numerical solutions of the problem were evaluated by using the meshless kernel based method of lines for known initial-boundary conditions on the given solution domain. This used numerical method is known to be a truly meshless approximation because any separation method is required. Radial basis functions are used as kernel functions on the meshless method. The performance of this meshless method was illustrated on many standard test problems. Numerical computations were performed by using Gaussian and Wendland’s functions. Error comparisons for computed numerical results were made in the sense of L error norm. Graphs of wave simulations for test problems are plotted in this study. The results show that the used meshless method is suitable to solve numerically to this type nonlinear equations system.

Anahtar Kelimeler:

Meshless Method, Method of Lines, Damping term, Dissipative Symmetric RLW Equation

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