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 50 条

[21] An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation
Tamsir, Mohammad
Srivastava, Vineet K.
Jiwari, Ram
APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 111 - 124
[22] An effective approach to numerical soliton solutions for the Schrodinger equation via modified cubic B-spline differential quadrature method
Bashan, Ali
Yagmurlu, Nuri Murat
Ucar, Yusuf
Esen, Alaattin
CHAOS SOLITONS & FRACTALS, 2017, 100 : 45 - 56
[23] A conservative algorithm based on a hybrid block method and tension B-spline differential quadrature method for Rosenau-KdV-RLW equation
Kaur, Anurag
Kanwar, V.
Ramos, Higinio
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (11) : 8638 - 8650
[24] A Quintic B-Spline Based Differential Quadrature Method for Numerical Solution of Kuramoto-Sivashinsky Equation
Mittal, R. C.
Dahiya, Sumita
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (02) : 103 - 114
[25] Modified cubic B-spline differential quadrature method for numerical solution of three-dimensional coupled viscous Burger equation
Shukla, H. S.
Tamsir, Mohammad
Srivastava, Vineet K.
Rashidi, Mohammad Mehdi
MODERN PHYSICS LETTERS B, 2016, 30 (11):
[26] Numerical solution of two dimensional coupled viscous Burger equation using modified cubic B-spline differential quadrature method
Shukla, H. S.
Tamsir, Mohammad
Srivastava, Vineet K.
Kumar, Jai
AIP ADVANCES, 2014, 4 (11):
[27] Numerical Computation of Nonlinear Fisher’s Reaction–Diffusion Equation with Exponential Modified Cubic B-Spline Differential Quadrature Method
Tamsir M.
Srivastava V.K.
Dhiman N.
Chauhan A.
International Journal of Applied and Computational Mathematics, 2018, 4 (1)
[28] Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
Jiwari, Ram
COMPUTER PHYSICS COMMUNICATIONS, 2015, 193 : 55 - 65
[29] A coupled integral–differential quadrature and B-spline-based multi-step technique for transient analysis of VSCL plates
Y. Heydarpour
M. M. Aghdam
Acta Mechanica, 2017, 228 : 2965 - 2986
[30] Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method
Mittal, R. C.
Rohila, Rajni
CHAOS SOLITONS & FRACTALS, 2016, 92 : 9 - 19

← 1 2 3 4 5 →