The extended cubic B-spline algorithm for a modified regularized long wave equation

The extended cubic B-spline algorithm for a modified regularized long wave equation

下载PDF

导出

摘要 A collocation method based on an extended cubic B-spline function is introduced for the numerical solution of the modified regularized long wave equation. The accuracy of the method is illustrated by studying the single solitary wave propagation and the interaction of two solitary waves of the modified regularized long wave equation. A collocation method based on an extended cubic B-spline function is introduced for the numerical solution of the modified regularized long wave equation. The accuracy of the method is illustrated by studying the single solitary wave propagation and the interaction of two solitary waves of the modified regularized long wave equation.

作者 I.Dag D.Irk M.SarI

机构地区 Faculty of Science and Arts Faculty of Science and Arts

出处《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期75-80,共6页 中国物理B（英文版）

关键词 collocation methods solitary waves collocation methods solitary waves

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献14

1Khalifa A K, Raslan K R and Alzubaidi H M 2007 Appl. Math. Comput. 189 346.
2Dereli Y 2010 Numer. Meth. Part. D. E 28 235.
3Mokhtari R and Mohammadi M 2010 Comput. Phys. Commun. 181 1266.
4Khalif A K, Raslan K R and Alzubaidi H M 2008 J. Comput. Appl. Math. 212 406.
5Raslan K R and Hassan S M 2009 Appl. Math. Lett. 22 984.
6Raslan K R 2009 Chaos, Solitons and Fractals 42 1845.
7Haq F, Islam S and Tirmizi I A 2010 Appl. Math. Model. 34 4151.
8Han X L and Liu S J 2003 Journal of Computatinal Aided Design and Computer Graphics 15 576 (in Chinese).
9Xu G and Wang G Z 2008 Acta Automatica Sinica 34 980.
10Hamid N N Abd, Majid A Abd and ?smail A ? 2011 Sains Malays. 40 1285.

1罗香怡.应用B样条函数离散空间偏导数[J].白城师范学院学报,2009,23(6):9-13.
2刘利斌,刘焕文,谢竹诚.基于B样条函数的对流扩散方程数值模拟[J].河南科学,2008,26(1):1-4. 被引量：1
3Tingchun Wang,Luming Zhang.New Conservative Schemes for Regularized Long Wave Equation[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2006,15(4):348-356.
4Pramod Kumar,Brajesh Kumar Singh,Shobh Nath Rai.A Novel Approach for Numerical Computation of Fokker-Planck Equation[J].Journal of Mathematics and System Science,2016,6(7):291-299.
5李明珠,丁效华,王怡东.基于三次B样条求解四阶线性边值问题[J].黑龙江大学自然科学学报,2013,30(6):711-715.
6方志朝,李宏.Numerical solutions to regularized long wave equation based on mixed covolume method[J].Applied Mathematics and Mechanics(English Edition),2013,34(7):907-920. 被引量：3
7张胜勇,陈心昭.应用三次B样条函数插值的边界元法计算结构振动声辐射问题[J].声学技术,1998,17(1):20-23. 被引量：5
8Zhiwei Pan,Wei Chen,Zhenyu Jiang,Liqun Tang,Yiping Liu,Zejia Liu.Performance of global look-up table strategy in digital image correlation with cubic B-spline interpolation and bicubic interpolation[J].Theoretical & Applied Mechanics Letters,2016,6(3):126-130. 被引量：4
9李新秀.分数阶偏微分方程的完全小波配置解法[J].科技视界,2014(20):50-51.
10祝梦华,刘良钢,齐东旭,尤众,许敖敖.Least square fitting of low resolution gamma ray spectra with cubic B-spline basis functions[J].Chinese Physics C,2009,33(1):24-30.

Chinese Physics B

2013年第4期

浏览历史

内容加载中请稍等...

The extended cubic B-spline algorithm for a modified regularized long wave equation

参考文献14

相关作者

相关机构

相关主题

浏览历史