Numerical integration of the RLW equation using cubic splines

DOI10.1017/S1446181100009822zbMath1073.65557OpenAlexW2107379342MaRDI QIDQ5693399

Idris Daǧ, Dursun Irk, Abdulkadir Dogan

Publication date: 26 September 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100009822

zbMATH Keywords

numerical examplesRLW equationcubic spline collocation methodregularised long wave equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

Modified nodal cubic spline collocation for elliptic equations ⋮ A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the regularized long wave equation ⋮ A novel outlook to the an alternative equation for modelling shallow water wave: regularised long wave (RLW) equation ⋮ QUINTIC B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF THE RLW EQUATION

Cites Work

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• Solitary waves of the regularised long-wave equation
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• Numerical integration of partial differential equations using cubic splines
• An evaluation of a model equation for water waves
• Higher-Order Numerical Solutions Using Cubic Splines
• Euler operators and conservation laws of the BBM equation
• A B‐spline finite element method for the regularized long wave equation
• Model equations for long waves in nonlinear dispersive systems
• A computational method for regularized long wave equation

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