（沈陽師范大學數學與系統科學學院，遼寧沈陽110034）
摘要：本文建立了generalized Rosenau 方程的一個兩層守恒差分格式。并給出了數值解的存在唯一性的證明，且在理論上證明了數值解的收斂性。
關鍵詞：有限差分格式;守恒性；存在性；收斂性
A Conservative Finite Difference Scheme for
the Generalized Rosenau Equation
Min Wang
School of Mathematics and System Science
Shenyang Normal University
Shenyang China110034
Abstract: In this paper, a finite difference scheme of the generalized Rosenau equation is proposed. The existence and uniqueness of numerical solution are proved as well as the convergent.
Keywords: Finite difference scheme; Conservation; Solvability; Convergence
作者簡介：
王敏（1983-），鐵嶺人，現就讀于沈陽師范大學數學與系統科學學院，攻讀應用數學專業碩士研究生。
