A predictor-corrector scheme for the numerical solution of the Boussinesq equation |
| |
| Authors: | M S Ismail A G Bratsos |
| |
| Institution: | 1. Department of Mathematics, College of Science, King Abdulaziz University, PO BOX 80203, Jeddah, Saudi Arabia
2. Department of Mathematics, Technological Educational Institution (T.E.I.) of Athens, 122 10 Egaleo, Athens, Greece
|
| |
| Abstract: | A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-liner system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
