一类抛物－椭圆耦合方程组混合初边值问题的二阶收敛差分格式Ⅰ

A SECOND-ORDER DIFFERENCE SCHEME FOR THE MIXED INITIAL-BOUNDARY VALUE PROBLEM OF A CLASS OF PARABOLIC-ELLIPTIC COUPLED SYSTEM Ⅰ

一类抛物－椭圆耦合方程组混合初边值问题的二阶收敛差分格式Ⅰ孙志忠（东南大学数学力学系）ＡＳＥＣＯＮＤ－ＯＲＤＥＲＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＦＯＲＴＨＥＭＩＸＥＤＩＮＩＴＩＡＬ－ＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＯＦＡＣＬＡＳＳＯＦＰＡＲＡ...

Abstract A difference scheme is derived by the method of the reduction of order for the mixed initial-boundary value problem of a class of parabolic-elliptic coupled system. A paper subsequent to this one will prove that the constructed scheme is uaiquely solvable and convergent with the rate of order two.