A numerical technique for solution of the MRLW equation using quartic B-splines

被引：34

作者：

Fazal-i-Haq ^{[1
]}

Siraj-ul-Islam ^{[2
]}

Tirmizi, Ikram A. ^{[3
]}

机构：

[1] Khyber Pakhtunkhwa Agr Univ, Dept Maths Stats Comp, Peshawar, Pakistan

[2] Univ Engn & Technol, Fac Basic Sci, Peshawar, Khyber Pakhtunk, Pakistan

[3] GIK Inst Engn Sci & Technol, Fac Engn Sci, Topi, Khyber Pakhtunk, Pakistan

来源：

APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 12期

关键词：

Modified regularized long wave (MRLW) equation; B-spline collocation method; Nonlinear partial differential equations; Nonlinear dispersive waves; FINITE-DIFFERENCE SCHEME; LONG-WAVE EQUATION; GALERKIN METHOD; SIMULATION; MODEL;

D O I：

10.1016/j.apm.2010.04.012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Numerical scheme based on quartic B-spline collocation method is designed for the numerical solution of modified regularized long wave (MRLW) equation. Unconditional stability is proved using Von-Neumann approach. Performance of the method is checked through numerical examples. Using error norms L-2 and L-similar to and conservative properties of mass, momentum and energy, accuracy and efficiency of the new method is established through comparison with the existing techniques. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4151 / 4160

页数：10

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