Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method

被引：0
|
作者：
Bülent Saka
İdris Dağ
Ozlem Ersoy Hepson
机构：
[1] Eskisehir Osmangazi University,Department of Mathematics and Computer Science, Faculty of Science and Letters
[2] Eskisehir Osmangazi University,Department of Computer Engineering, Faculty of Engineering and Architecture
来源：
Mathematical Sciences | 2023年 / 17卷
关键词：
RLW equation; Adams–Bashforth–Moulton method; Predictor–corrector method; Quintic B-splines; Undular bore; Wave generation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Solitary wave solutions are studied by way of the regularized long wave (RLW) equation. RLW equation is fully integrated by using combination of the quintic collocation method and predictor–corrector method. The implementation of the new presented method is shown in the RLW equation. Accuracy of numerical solutions of the RLW equation is seen to be increased by employing the predictor–corrector time integrator for the collocation method. Comparison of results is done with some earlier prosperous methods. Four problems are tested to show validity and efficiency of the techniques.
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页码：491 / 502
页数：11
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