Numerical Simulations of Boundary-Forced RLW Equation with Cubic B-Spline-based Differential Quadrature Methods

被引：36

作者：

Korkmaz, Alper ^{[1
]}

Dag, Idris ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Dept Math, Fac Sci, Cankiri, Turkey

[2] Eskisehir Osmangazi Univ, Math & Comp Sci Dept, TR-26480 Eskisehir, Turkey

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2013年 / 38卷 / 05期

关键词：

RLW equation; B-spline; Differential quadrature method; Solitary waves; Undular bore; Wave undulation; LONG-WAVE EQUATION; DISTRIBUTED SYSTEM EQUATIONS; NONLINEAR DISPERSIVE SYSTEMS; FINITE-ELEMENT SCHEME; GALERKIN METHOD; SOLITARY WAVES; COMPUTATIONAL METHOD; MODEL-EQUATIONS; UNDULAR BORE; VIBRATION;

D O I：

10.1007/s13369-012-0353-8

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：

In the study, differential quadrature methods based on cubic B-splines are proposed. In order to test the accuracy and the efficiency of the present methods, some numerical solutions of the Regularized Long Wave Equation are simulated. Wave generation, traveling solitary wave, interaction of the two solitary waves and undulation solutions of the RLW equation are studied. Obtained simulations are compared with some earlier works. Lowest three conserved quantities are computed for all test problems.

引用

页码：1151 / 1160

页数：10

共 38 条

[31] A comparative study of modified cubic B-spline differential quadrature methods for a class of nonlinear viscous wave equations
Mittal, Ramesh Chand
Dahiya, Sumita
ENGINEERING COMPUTATIONS, 2018, 35 (01) : 315 - 333
[32] A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline
Karta, Melike
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (01): : 95 - 107
[33] Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments
Bashan, Ali
APPLIED NUMERICAL MATHEMATICS, 2021, 167 : 356 - 374
[34] A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization
Yagmurlu, Nuri Murat
Karakas, Ali Sercan
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (04): : 1046 - 1058
[35] Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization
Yagmurlu, Nuri Murat
Karakas, Ali Sercan
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 36 (05) : 1170 - 1183
[36] Numerical solution of coupled 1D Burgers' equation by Non-Uniform Algebraic-Hyperbolic B-spline Differential Quadrature Method
Kapoor, Mamta
Joshi, Varun
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2023, 24 (01) : 18 - 39
[37] Numerical study of time dependent flow of immiscible Saffman dusty (fluid-particle suspension) and Eringen micropolar fluids in a duct with a modified cubic B-spline Differential Quadrature method
Chandrawat, Rajesh Kumar
Joshi, Varun
Beg, O. Anwar
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2022, 130
[38] A new technique for numerical solution of 1D and 2D non-linear coupled Burgers' equations by using cubic Uniform Algebraic Trigonometric (UAT) tension B-spline based differential quadrature method
Kapoor, Mamta
Joshi, Varun
AIN SHAMS ENGINEERING JOURNAL, 2021, 12 (04) : 3947 - 3965

← 1 2 3 4 →