Galerkin method for the numerical solution of the RLW equation using quadratic B-splines

DOI10.1080/00207160310001650043zbMath1060.65109OpenAlexW2021549954MaRDI QIDQ3154806

Bülent Saka, Abdulkadir Dogan, Idris Daǧ

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1080/00207160310001650043

zbMATH Keywords

solitary wavesnumerical examplesregularised long wave equationB-spline Galerkin finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (39)

Galerkin method for the numerical solution of the RLW equation using quintic B-splines ⋮ The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation ⋮ Parametric spline solution of the 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 ⋮ A meshfree method for the numerical solution of the RLW equation ⋮ A numerical solution of the RLW equation by Galerkin method using quartic B‐splines ⋮ Algorithms for numerical solution of the modified equal width wave equation using collocation method ⋮ Numerical solutions of regularized long wave equation by Haar wavelet method ⋮ Solitary wave solutions of the nonlinear generalized Pochhammer-Chree and regularized long wave equations ⋮ A numerical technique for solution of the MRLW equation using quartic B-splines ⋮ Numerical solution of the regularized long wave equation using nonpolynomial splines ⋮ Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method ⋮ 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 ⋮ Solitary waves of the RLW equation via least squares method ⋮ A Strang splitting approach combined with Chebyshev wavelets to solve the regularized long-wave equation numerically ⋮ Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines ⋮ QUINTIC B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF THE RLW EQUATION ⋮ Three different methods for numerical solution of the EW equation ⋮ A meshless finite-point approximation for solving the RLW equation ⋮ An efficient approach to numerical study of the MRLW equation with B-spline collocation method ⋮ B-spline collocation algorithms for numerical solution of the RLW equation ⋮ Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves ⋮ OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION ⋮ B-spline quasi-interpolation based numerical methods for some Sobolev type equations ⋮ Cosine expansion-based differential quadrature algorithm for numerical solution of the RLW equation ⋮ A meshless method using the radial basis functions for numerical solution of the regularized long 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 ⋮ Numerical simulation of the regularized long wave equation by He's homotopy perturbation method ⋮ Numerical investigation of the solution of Fisher's equation via the B-spline Galerkin method ⋮ Approximate solution of MRLW equation in B-spline environment ⋮ Solitary wave solutions of the MRLW equation using radial basis functions ⋮ Numerical solution of RLW equation using radial basis functions ⋮ Error estimates for a Galerkin numerical scheme applied to a generalized BBM equation ⋮ Non-polynomial splines method for numerical solutions of the regularized long wave equation

Cites Work

• Numerical schemes for a model for nonlinear dispersive waves
• Numerical study of the regularized long-wave equation. I: Numerical methods
• 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
• Numerical solutions of the regularized long-wave equation
• Modelling an undular bore with \(B\)-splines
• Error estimates for a Galerkin method for a class of model equations for long waves
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• Solitary waves of the regularised long-wave equation
• Numerical solution of regularized long-wave equation
• Euler operators and conservation laws of the BBM equation
• A B‐spline finite element method for the regularized long wave equation
• B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation
• 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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