完全非线性伪抛物组的非均匀网格差分格式  

DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR FULLY NONLINEAR PSEUDO-PARABOLIC SYSTEMS

作　　者：韩永前[1] 袁光伟[1] 周毓麟[1] 

机构地区：[1]北京应用物理与计算数学研究所

出　　处：《计算数学》1996年第4期426-434,共9页Mathematica Numerica Sinica

基　　金：国家自然科学基金;中物院基金

摘　　要：完全非线性伪抛物组的非均匀网格差分格式韩永前，袁光伟，周毓麟（北京应用物理与计算数学研究所）ＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＳＷＩＴＨＮＯＮＵＮＩＦＯＲＭＭＥＳＨＥＳＦＯＲＦＵＬＬＹＮＯＮＬＩＮＥＡＲＰＳＥＵＤＯ－ＰＡＲＡＢＯＬＩＣＳＹＳＴＥＭＳ￥Ｈ...Abstract In this paper the difference schemes with nonuniform meshes for the initial boundary value problem of the fully nonlinear pseudo-parabolic systems are studied. The existence and uniqueness Of the discrete vector solutions for the difference systems are established by the fixed point theorem and a priori estimate. The stability and convergence of the difference schemes are obtained. Here the existence of the unique smooth vector solution of the original problems for the fully nonlinear pseudo-parabolic system is assumed.

关 键 词：伪抛物型方程组 差分格式 非线性 非均匀网格 

分 类 号：O241.82[理学—计算数学]