Solitary waves of the RLW equation via least squares method

DOI10.1515/ijnsns-2021-0216OpenAlexW3215982113MaRDI QIDQ6106121

Ozlem Ersoy Hepson, Idris Daǧ, Buket Ay, Bülent Saka

Publication date: 27 June 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0216

zbMATH Keywords

RLW equationquartic B-splineinteraction of two solitary wavessingle solitary wavewave undulation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Numerical solutions of regularized long wave equation by Haar wavelet method
• Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
• Application of cubic B-splines for numerical solution of the RLW equation
• Fourier pseudospectral solution of the regularised long wave equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• A space-time least-square finite element scheme for advection-diffusion equations
• Numerical solution of RLW equation using linear finite elements within Galerkin's method
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• A Strang splitting approach combined with Chebyshev wavelets to solve the regularized long-wave equation numerically
• Application of a lumped Galerkin method to the regularized long wave equation
• \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation
• Numerical solution of regularized long wave equation using Petrov-Galerkin method
• Galerkin method for the numerical solution of the RLW equation using quadratic B-splines
• Quartic B-spline collocation algorithms for numerical solution of the RLW equation
• Cosine expansion-based differential quadrature algorithm for numerical solution of the RLW equation
• A B‐spline finite element method for the regularized long wave equation
• B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation
• OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION
• A numerical solution of the RLW equation by Galerkin method using quartic B‐splines
• A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation
• A least-squares finite element scheme for the RLW equation
• Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation
• 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