Numerical solution of regularized long wave equation using Petrov-Galerkin method

Dogan A.2019-08-012019-08-0120011069-8299https://dx.doi.org/10.1002/cnm.424https://hdl.handle.net/11480/1380The regularized long wave (RLW) equation is solved by a Petrov-Galerkin method using quadratic B-spline finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is obtained via a Crank-Nicolson approach involving a product approximation. The motion of solitary waves is studied to assess the properties of the algorithm. The development of an undular bore is modelled. Copyright © 2001 John Wiley & Sons, Ltd.eninfo:eu-repo/semantics/closedAccessFinite elementsPetrov-GalerkinRLW equationUndular boreNumerical solution of regularized long wave equation using Petrov-Galerkin methodArticle17748549410.1002/cnm.4242-s2.0-0035391184N/AWOS:000170106100005Q2