Quartic B-spline collocation algorithms for numerical solution of the RLW equation

被引：34
|
作者：
Saka, Bulent [1 ]
Dag, Idris
机构：
[1] Eskisehir Osmangazi Univ, Sci & Art Fac, Dept Math, TR-24680 Eskisehir, Turkey
[2] Eskisehir Osmangazi Univ, Dept Comp Engn, TR-24680 Eskisehir, Turkey
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 03期
关键词：
RLW equation; collocation; solitary waves; quartic B-splines; undular bore;
D O I：
10.1002/num.20201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The collocation method based on quartic B-spline interpolation is studied for numerical solution of the regularized long wave (RLW) equation. The time-split RLW equation is also solved with the quartic B-spline collocation method. Numerical accuracy is tested by obtaining the single solitary wave solution. Then, interaction, undulation and evolution of solitary waves are studied. Solutions are compared with available results. Conservation quantities are computed for all test experiments. (c) 2007 Wiley Periodicals, Inc.
引用
收藏
页码：731 / 751
页数：21
相关论文
共 50 条
  • [1] B-Spline Collocation Algorithms for Numerical Solution of the RLW Equation
    Saka, Bulent
    Sahin, Ali
    Dag, Idris
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (03) : 581 - 607
  • [2] Quintic B-spline collocation method for numerical solution of the RLW equation
    Saka, Buelent
    Dag, Idris
    Irk, Dursun
    [J]. ANZIAM JOURNAL, 2008, 49 (03): : 389 - 410
  • [3] B-spline collocation methods for numerical solutions of the RLW equation
    Dag, I
    Dogan, A
    Saka, B
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2003, 80 (06) : 743 - 757
  • [4] A collocation method for the numerical solution of the RLW equation using cubic B-spline basis
    Saka, B
    Dag, I
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2005, 30 (1A) : 39 - 50
  • [5] NUMERICAL SOLUTION OF BBM-BURGER EQUATION WITH QUARTIC B-SPLINE COLLOCATION METHOD
    Arora, G.
    Mittal, R. C.
    Singh, B. K.
    [J]. JOURNAL OF ENGINEERING SCIENCE AND TECHNOLOGY, 2014, 9 : 104 - 116
  • [6] Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
    Saka, Bulent
    Dag, Idris
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (03) : 1125 - 1137
  • [7] Numerical solution of Burgers’ equation by B-spline collocation
    Yousefi M.
    Rashidinia J.
    Yousefi M.
    Moudi M.
    [J]. Afrika Matematika, 2016, 27 (7-8) : 1287 - 1293
  • [8] Numerical Solution of the Degasperis-Procesi Equation Using the Quartic B-Spline Collocation Method
    Suseelan, Menaga
    Ahmad, Azhar
    Abd Hamid, Nur Nadiah
    Ismail, Ahmad Izani Md.
    [J]. PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
  • [9] TRIGONOMETRIC B-SPLINE COLLOCATION ALGORITHM FOR SOLVING THE RLW EQUATION
    Dag, I.
    Irk, D.
    Kacmaz, O.
    Adar, N.
    [J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2016, 15 (01) : 96 - 105
  • [10] Collocation method using quadratic B-spline for the RLW equation
    Soliman, AA
    Raslan, KR
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2001, 78 (03) : 399 - 412
12345