A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

Authors:
Open Access
Publisher website
Google Scholar
Abstract
A multiple integral finite volume method combined and Lagrange interpolation are applied in this paper to the Rosenau-RLW (RRLW) equation. We construct a two-level implicit fully discrete scheme for the RRLW equation. The numerical scheme has the accuracy of third order in space and second order in time, respectively. The solvability and uniqueness of the numerical solution are shown. We verify that the numerical scheme keeps the original equation characteristic of energy conservation. It is proved that the numerical scheme is convergent in the order of $O(\tau ^{2} + h^{3})$ O ( τ 2 + h 3 ) and unconditionally stable. A numerical experiment is given to demonstrate the validity and accuracy of scheme.
Funding Information
  • National Natural Science Foundation of China (11526064)
  • Fundamental Research Funds for the Central Universities (3072019CF2403)
  • Harbin Engineering University (00211001060930)

This publication has 28 references indexed in Scilit: