摘要
In physics,the Klein-Gordon equation describes the motion of a quantum scalar or pseudoscalar field.Itis important to find actual values of its solutions in general timespace manifold.The paper deals with description ofdiscrete exterior calculus method for solving this equation numerically on space manifold and the time.The analysis ofstable condition and error for this method is also accomplished.
In physics, the Klein-Gordon equation describes the motion of a quantum scalar or pseudoscalar field. It is important to find actual values of its solutions in general timespace manifold. The paper deals with description of discrete exterior calculus method for solving this equation numerically on space manifold and the time. The analysis of stable condition and error for this method is also accomplished.
基金
Supported by China Postdoctoral Science Foundation under Grant No.20090460102
Zhejiang Province Postdoctoral Science Foundation,National Key Basic Research Program of China under Grant No.2004CB318000
National Natural Science Foundation of China under Grant No.10871170