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

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• 作者：Fazal-i-Haq ; Siraj-ul-Islam ; Ikram A. Tirmizi
• 关键词：Modified regularized long wave (MRLW) equation ; B-spline collocation method ; Nonlinear partial differential equations ; Nonlinear dispersive waves
• 刊名：Applied Mathematical Modelling
• 出版年：2010
• 出版时间：December 2010
• 年：2010
• 卷：34
• 期：12
• 页码：4151-4160
• 全文大小：453 K

文摘

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 L₂ and L_∞ and conservative properties of mass, momentum and energy, accuracy and efficiency of the new method is established through comparison with the existing techniques.