Petrov-Galerkin finite element method for solving the MRLW equation
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Publication:405428
DOI10.1186/2251-7456-7-25zbMath1295.65113OpenAlexW2132624207WikidataQ59300408 ScholiaQ59300408MaRDI QIDQ405428
Seydi Battal Gazi Karakoc, Turabi Geyikli
Publication date: 5 September 2014
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/2251-7456-7-25
Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Solitary waves for incompressible inviscid fluids (76B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Solitary waves in solid mechanics (74J35)
Related Items (9)
Hybrid solitary wave solutions of the Camassa-Holm equation ⋮ VARIATIONAL PERSPECTIVE TO FRACTAL KAWAHARA MODEL IN MICROGRAVITY SPACE ⋮ Petrov-Galerkin approximation of time-fractional coupled Korteweg-de Vries equation for propagation of long wave in shallow water ⋮ On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions ⋮ An efficient approach to numerical study of the MRLW equation with B-spline collocation method ⋮ Travelling wave solutions of the general regularized long wave equation ⋮ Solitary waves generated by Bell-shaped initial conditions in the inviscid and viscous GRLW equations ⋮ Approximate solution of MRLW equation in B-spline environment ⋮ Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions
Cites Work
- Unnamed Item
- Petrov-Galerkin method with cubic B-splines for solving the MEW equation
- A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation
- Numerical study of the modified regularized long wave (MRLW) equation
- A numerical technique for solution of the MRLW equation using quartic B-splines
- Application of cubic B-splines for numerical solution of the RLW equation
- Numerical solution of the modified equal width wave equation
- Numerical study using ADM for the modified regularized long wave equation
- Solitary waves for the MRLW equation
- Petrov-Galerkin methods for nonlinear dispersive waves
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
- Galerkin methods applied to some model equations for non-linear dispersive waves
- The boundary forced MKdV equation
- An application of the decomposition method for the generalized KdV and RLW equations
- Numerical solution of RLW equation using linear finite elements within Galerkin's method
- Collocation solution for RLW equation with septic spline
- The Fourier pseudospectral method with a restrain operator for the RLW equation
- A finite difference scheme for the MRLW and solitary wave interactions
- A collocation method with cubic B-splines for solving the MRLW equation
- Application of a lumped Galerkin method to the regularized long wave equation
- A computational method for the regularized long wave (RLW) equation
- A finite difference scheme for generalized regularized long-wave equation
- Solitary waves of the regularised long-wave equation
- Collocation method using quadratic B-spline for the RLW equation
- Numerical solution of regularized long-wave equation
- Galerkin method for the numerical solution of the RLW equation using quadratic B-splines
- A B‐spline finite element method for the regularized long wave equation
- Model equations for long waves in nonlinear dispersive systems
- A least-squares finite element scheme for the RLW equation
- Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary motion
- A computational method for regularized long wave equation
- Solitary waves of the splitted RLW equation
- Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method
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