A linearized implicit finite-difference method for solving the equal width wave equation

DOI10.1080/00207160600740958zbMath1104.65316OpenAlexW2009248553MaRDI QIDQ3423752

Selcuk Kutluay, Alaattin Esen

Publication date: 15 February 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160600740958

zbMATH Keywords

stabilitynumerical resultssolitary wavesundular boreEW equationequal width wave equationlinearized implicit finite difference

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

A fully implicit finite difference approach for numerical solution of the generalized equal width (GEW) equation ⋮ Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on <scp>Rubin–Graves</scp> type linearization ⋮ A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations ⋮ Soliton Kernels for Solving PDEs ⋮ An efficient local meshless method for the equal width equation in fluid mechanics ⋮ Adaptive multi-scale AMSS operator for quality detection of silks

Cites Work

• Scattering of regularized-long-wave solitary waves
• Solitary waves of the equal width wave equation
• Solitary wave interactions for the modified equal width equation
• A least-squares finite element scheme for the EW equation
• Application of Galerkin's method to equal width wave equation
• A spectral method for the equal width equation
• A finite element method for equal width equation
• A numerical solution of the equal width wave equation by a lumped Galerkin method
• Collocation method using quartic B-spline for the equal width (EW) equation
• A cubic B-spline collocation method for the EW equation
• Euler operators and conservation laws of the BBM equation
• Simulations of the EW undular bore
• A computational method for the equal width equation
• Solitary waves for the generalized equal width (GEW) equation
• Solitary waves induced by the boundary forced EW equation

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