- Gazi University Journal of Science
- Vol: 35 Issue: 4
- Single Solitary Wave and Wave Generation Solutions of the Regularised Long Wave (RLW) Equation
Single Solitary Wave and Wave Generation Solutions of the Regularised Long Wave (RLW) Equation
Authors : Ali Başhan
Pages : 1597-1612
Doi:10.35378/gujs.892116
View : 8 | Download : 5
Publication Date : 2022-12-01
Article Type : Research
Abstract :In this paper, high accurate numerical solutions of the regularised long-wave (RLW) equation is going to be obtained by using effective algorithm including finite difference method, differential quadrature and Rubin-Graves type linearization technique. Solitary wave solutions and Maxwellian initial condition based wave generation solutions are obtained successfully. To observe the development of the present algorithm, the present numerical results are compared with many earlier works. The present results are seen as superior among the given ones. The rates of the convergence are also given.Keywords : Differential quadrature method, Finite difference method, RLW equation, Convergence