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

Yıl 2020, Cilt: 8 Sayı: 1, 34 - 48, 28.02.2020

Bahar Karaman Yılmaz Dereli

https://doi.org/10.20290/estubtdb.530370

Öz

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

Kaynakça

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