الحل العددي لنظام sine-gordon في بعد واحد

الملخص EN

This paper has sudied he numerical soluion for Sine-Gordon system in one dimensions using finite difference methods.

We have used explicit method and Crank-Nicholson method.

A comparison between results of the two methods has been done and we obtained ha Crank-Nicholson method is more accurate than he Explicit method but the Explicit method is easier.

We also sudied the sability analysis for each method by using Fourier (Von-Neumann) method and obtained that Crank-Nicholson method is unconditionally stable while the Explicit method is stable under the condition r2 ≤ c 1/2 and r2 ≤1.