A higher-order efficient approach to numerical simulations of the RLW equation

被引：0
|
作者：
Idris Dag
Ozlem Ersoy Hepson
Bülent Saka
机构：
[1] Eskisehir Osmangazi University,Department of Computer Engineering, Faculty of Engineering and Architecture
[2] Eskisehir Osmangazi University,Department of Mathematics and Computer Science, Faculty of Science and Letters
来源：
Pramana | 2022年 / 96卷
关键词：
Regularised long wave equation; Adams–Bashforth–Moulton method; predictor–corrector method; quartic B-splines; interaction of solitary waves; 02.30.Jr; 02.60.Cb; 02.70.Jn; 03.65.Ge; 04.30.Nk;
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学科分类号：
摘要：
A new numerical algorithm for solving the regularised long wave (RLW) equation is proposed using predictor–corrector method in time and quartic B-spline collocation procedure in space. Accuracy of algorithm is shown by studying the motion of a single solitary wave. Interaction of two solitary waves and three solitary waves, and wave generation from Maxwellian condition are performed to illustrate the suitability of the proposed scheme. Results of the present method are compared with the outcomes of some prosperous numerical algorithms.
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