Numerical solution of RLW equation using linear finite elements within Galerkin's method

From MaRDI portal

Publication:1614214

Jump to:navigation, search

DOI10.1016/S0307-904X(01)00084-1zbMath1016.76046OpenAlexW2095321423MaRDI QIDQ1614214

Abdulkadir Dogan

Publication date: 3 September 2002

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(01)00084-1

zbMATH Keywords

Galerkin's method interaction of two solitary waves linear space finite elements regularised long wave equation single solitary wave

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ Numerical solution for Benjamin-Bona-Mahony-Burgers equation with Strang time-splitting technique ⋮ A Galerkin finite element approach to Burgers' equation ⋮ Mixed Galerkin finite element methods for modified regularized long wave equation ⋮ Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation ⋮ A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the regularized long wave equation ⋮ Theoretical and computational structures on solitary wave solutions of Benjamin Bona Mahony-Burgers equation ⋮ A Legendre spectral element method for the family of regularized long wave equations ⋮ Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis ⋮ The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation ⋮ Numerical solutions of regularized long wave equation by Haar wavelet method ⋮ A fourth-order conservative compact finite difference scheme for the generalized RLW equation ⋮ Explicit multistep mixed finite element method for RLW equation ⋮ A new algorithm based on Lucas polynomials for approximate solution of 1D and 2D nonlinear generalized Benjamin-Bona-Mahony-Burgers equation ⋮ On solitary wave solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara equations with the dual-power law nonlinearities ⋮ A finite difference solution of the regularized long-wave equation ⋮ Dynamical behaviors of the solution to a periodic initial-boundary value problem of the generalized Rosenau-RLW-Burgers equation ⋮ Study of generalized regularized long wave equation via septic Hermite collocation method with Crank-Nicolson and SSP-RK43 schemes to capture the various solitons ⋮ Two efficient methods for solving the generalized regularized long wave equation ⋮ Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ Redefined quintic B-spline collocation technique for nonlinear higher order PDEs ⋮ Petrov-Galerkin finite element method for solving the MRLW equation ⋮ A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations ⋮ A spectrally accurate time ‐ space pseudospectral method for viscous Burgers' equation ⋮ Third‐kind Chebyshev cardinal functions for variable‐order time fractional RLW‐Burgers equation ⋮ A novel outlook to the an alternative equation for modelling shallow water wave: regularised long wave (RLW) equation ⋮ Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs ⋮ Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme ⋮ Solitary waves of the RLW equation via least squares method ⋮ Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations ⋮ A Strang splitting approach combined with Chebyshev wavelets to solve the regularized long-wave equation numerically ⋮ Analytical and numerical studies on dynamic of complexiton solution for complex nonlinear dispersive model ⋮ On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions ⋮ An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines ⋮ Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines ⋮ Explicit multistep method for the numerical solution of RLW equation ⋮ An efficient approach to numerical study of the MRLW equation with B-spline collocation method ⋮ A conservative weighted finite difference scheme for regularized long wave equation ⋮ Numerical solutions of RLW equation using Galerkin method with extrapolation techniques ⋮ B-spline collocation algorithms for numerical solution of the RLW equation ⋮ OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism ⋮ Finite difference discretization of the Rosenau-RLW equation ⋮ Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Numerical study for soliton solutions of some nonlinear evolution equations ⋮ A Nonpolynomial Spline Scheme for the Generalized Regularized Long Wave Equation ⋮ Application of Galerkin's method to equal width wave equation ⋮ Numerical solution of GRLW equation using sinc-collocation method ⋮ Solving the generalized regularized long wave equation on the basis of a reproducing kernel space ⋮ Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation ⋮ Least-squares finite element method for the advection--diffusion equation ⋮ Application of a lumped Galerkin method to the regularized long wave equation ⋮ Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation ⋮ Multisymplectic numerical method for the regularized long-wave equation ⋮ Galerkin finite element methods for two-dimensional RLW and SRLW equations ⋮ Unnamed Item ⋮ Solitary waves generated by Bell-shaped initial conditions in the inviscid and viscous GRLW equations ⋮ Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations ⋮ A new explicit multisymplectic scheme for the regularized long-wave equation ⋮ Local momentum-preserving algorithms for the GRLW equation ⋮ High-order compact difference scheme for the regularized long wave equation ⋮ Numerical solution of nonlinear Schrödinger equation with Neumann boundary conditions using quintic B-spline Galerkin method ⋮ High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators ⋮ Non-polynomial splines method for numerical solutions of the regularized long wave equation

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1614214&oldid=13915736"