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

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