采用高阶预测校正格式和五次b样条配点法对RLW方程进行积分

IF 1.9 4区数学 Q1 MATHEMATICS

Mathematical Sciences Pub Date : 2022-05-31 DOI:10.1007/s40096-022-00475-z

Bülent Saka, İdris Dağ, Ozlem Ersoy Hepson

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引用次数: 0

摘要

利用正则化长波方程研究了孤波解。采用五次配点法和预测校正法相结合的方法对RLW方程进行了充分的积分。新方法的实现用RLW方程表示。采用预测-校正时间积分器的配置方法可以提高RLW方程数值解的精度。并与一些较早的方法进行了比较。通过对四个问题的测试，验证了该方法的有效性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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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来源期刊

Mathematical Sciences Multiple-

CiteScore

4.20

自引率

5.00%

发文量

期刊介绍： Mathematical Sciences is an international journal publishing high quality peer-reviewed original research articles that demonstrate the interaction between various disciplines of theoretical and applied mathematics. Subject areas include numerical analysis, numerical statistics, optimization, operational research, signal analysis, wavelets, image processing, fuzzy sets, spline, stochastic analysis, integral equation, differential equation, partial differential equation and combinations of the above.