A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism

DOI10.1007/s10915-017-0533-5zbMath1408.65104OpenAlexW2753085900WikidataQ59513420 ScholiaQ59513420MaRDI QIDQ1743429

Taek Soo Jang

Publication date: 13 April 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0533-5

zbMATH Keywords

contractive operatorregularized long-wave (RLW) equationfunctional iteration algorithmnonlinear integral equations of second kindpseudo-parameter

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Other nonlinear integral equations (45G10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fixed-point theorems (47H10) Numerical methods for integral transforms (65R10) Soliton solutions (35C08) PDEs in connection with geophysics (35Q86)

Related Items (5)

Numerical solution of a generalized Falkner–Skan flow of a FENE-P fluid ⋮ A new fixed point iteration method for nonlinear third-order BVPs ⋮ SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY ⋮ Pseudo-parameter iteration method (PIM): a semi-analytic solution procedure for nonlinear problems ⋮ The filtering‐based maximum likelihood iterative estimation algorithms for a special class of nonlinear systems with autoregressive moving average noise using the hierarchical identification principle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametric spline solution of the regularized long wave equation
• Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
• Application of cubic B-splines for numerical solution of the RLW equation
• Multisymplectic numerical method for the regularized long-wave equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Numerical solution of RLW equation using linear finite elements within Galerkin's method
• A new dispersion-relation preserving method for integrating the classical Boussinesq equation
• A collocation method with cubic B-splines for solving the MRLW equation
• A computational method for the regularized long wave (RLW) equation
• A Petrov-Galerkin finite element scheme for the regularized long wave equation
• A B‐spline finite element method for the regularized long wave equation
• B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation
• Model equations for long waves in nonlinear dispersive systems
• A least-squares finite element scheme for the RLW equation
• A computational method for regularized long wave equation
• Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method

This page was built for publication: A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism