Acta mathematica scientia,Series B ›› 1985, Vol. 5 ›› Issue (3): 337-348.
• Articles • Previous Articles Next Articles
Guo Benyu
Received:
Online:
Published:
Abstract: An initial-boundary value problem of the Korteweg-de Vries equation is considered. A conservation law fox this problem is derived. A difference scheme is introduced and its conservation property is compared to the conservation law. The convergence of this scheme is strictly proved. It is shown numerically that such scheme is applicable. Numerical results for the case where the initial condition is zero and the boundary condition is a rectangle pulse are also obtained. It is found that the solution exhibits soliton-like behaviour.
Guo Benyu. NUMERICAL SOLUTION OF AN INITIALBOUNDARY VALUE PROBLEM OF THE KORTEWEG-DE VRIES EQUATION[J].Acta mathematica scientia,Series B, 1985, 5(3): 337-348.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbB/EN/
http://121.43.60.238/sxwlxbB/EN/Y1985/V5/I3/337
Cited