Modeling of solitary waves via higher-order predictor-corrector scheme

被引：0
|
作者：
Saka, Buelent [1 ]
Hepson, Ozlem Ersoy [1 ]
Dag, Idris [2 ]
机构：
[1] Eskisehir Osmangazi Univ, Fac Sci, Dept Math Comp, Eskisehir, Turkiye
[2] Eskisehir Osmangazi Univ, Fac Engn & Architecture, Dept Comp Engn, Eskisehir, Turkiye
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2024年 / 18卷 / 01期
关键词：
RLWE; predictor-corrector method; sextic B-splines; Adams-Bashforth-Moulton method; soliton; NUMERICAL-SOLUTION; GALERKIN METHOD;
D O I：
10.1080/16583655.2024.2435692
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The combination of the sextic b-spline collocation method and the predictor-corrector method is employed to discretize the Regularized Long Wave Equation (RLWE) fully into two systems of linear algebraic equations. Solution of the predictor method is substituted into the corrector method to obtain the unknown which are parameters of the B-spline collocation approach. The property of the new numerical method is demonstrated by studying the propagation of the solitary wave to the left and the interaction of two positive solitary waves.
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页数：8
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