Numerical solutions of the generalized Rosenau-Kawahara-RLW equation arising in fluid mechanics via B-spline collocation method

被引：9

作者：

Ak, Turgut ^{[1
]}

Dhawan, Sharanjeet ^{[2
]}

Inan, Bilge ^{[3
]}

机构：

[1] Yalova Univ, Armutlu Vocat Sch, TR-77500 Armutlu, Yalova, Turkey

[2] Cent Univ Haryana, Dept Math, Mahendragarh 123029, Haryana, India

[3] Kilis 7 Aralik Univ, Dept Math & Sci Educ, TR-79000 Kilis, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2018年 / 29卷 / 11期

关键词：

Generalized Rosenau-Kawahara-RLW equation; collocation; solitary waves; B-spline; WAVE SOLUTIONS;

D O I：

10.1142/S0129183118501164

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Present study reports the solution of generalized Rosenau-Kawahara-RLW equation. It includes motion of single solitary wave, interaction of two solitary waves along with the calculated invariants and error norms. Gaussian and undular bore initial conditions are studied to show evolution of solitons. Developed train of solitons and conservation of invariants are shown via figures and tables in the respective sections. Various case studies are presented to demonstrate the effciency of the proposed numerical scheme. Solutions so produced may be helpful for explaining various nonlinear physical phenomena in nonlinear dynamical systems.

引用

页数：20

共 50 条

[21] The Extended B-Spline Collocation Method for Numerical Solutions of Fisher Equation
Ersoy, O.
Dag, I.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[22] Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
Saka, Bulent
Dag, Idris
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) : 1125 - 1137
[23] TRIGONOMETRIC B-SPLINE COLLOCATION ALGORITHM FOR SOLVING THE RLW EQUATION
Dag, I.
Irk, D.
Kacmaz, O.
Adar, N.
APPLIED AND COMPUTATIONAL MATHEMATICS, 2016, 15 (01) : 96 - 105
[24] A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation
B. Karaagac
A. Esen
K. M. Owolabi
E. Pindza
Numerical Analysis and Applications, 2023, 16 : 216 - 228
[25] Convergence of two conservative high-order accurate difference schemes for the generalized Rosenau-Kawahara-RLW equation
Ghiloufi, Ahlem
Rahmeni, Mohamed
Omrani, Khaled
ENGINEERING WITH COMPUTERS, 2020, 36 (02) : 617 - 632
[26] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Kutluay, Selcuk
Ucar, Yusuf
Yagmurlu, N. Murat
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1603 - 1614
[27] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Selcuk Kutluay
Yusuf Ucar
N. Murat Yagmurlu
Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1603 - 1614
[28] An Efficient Approximation to Numerical Solutions for the Kawahara Equation Via Modified Cubic B-Spline Differential Quadrature Method
Ali Başhan
Mediterranean Journal of Mathematics, 2019, 16
[29] An Efficient Approximation to Numerical Solutions for the Kawahara Equation Via Modified Cubic B-Spline Differential Quadrature Method
Bashan, Ali
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (01)
[30] B-spline collocation methods for numerical solutions of the Burgers' equation
Dag, I
Irk, D
Sahin, A
MATHEMATICAL PROBLEMS IN ENGINEERING, 2005, (05) : 521 - 538

← 1 2 3 4 5 →