| 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(Ⅱ) |
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| 引用本文： | 孙志忠.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(Ⅱ)[J].计算数学,1995,17(4):391-401. |
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| 作者姓名： | 孙志忠 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： | 2.差分格式的可能性和收敛性我们证明1]中建立的差分格式(6.1-6.17)是唯一可解且二阶收敛的.记(3.1-3.10)的解为{ψ ,p,q},(4.1-4.13)的解为{ψ,p,q;u_1,u_2,v_1,v_2,w_1,w_2}.假设(3)的系数满足如下条件:当|ε_l|≤ε_0,1≤l≤4时,使得
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| 关 键 词： | 抛物－椭圆方程 初边值问题 差分格式 收敛性 |
A SECOND-ORDER DIFFERENCE SCHEME FOR THE MIXED INITIAL-BOUNDARY VALUE PROBLEM OF A CLASS OF PARABOLIC-ELLIPTIC COUPLED SYSTEM, II |
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| Institution: | Sun Zhi-zhong (Department of Mathematics and Mechanics, Southeast University) |
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| Abstract: | In part I of this paper1], a difference scheme was derived by reduction of the order for the mixed initial-boundary value problem of a class of parabolic-elliptic coupled system. In this part, the solvability and convergence are analyzed. The scheme is uniquely solvable and second-order convergent in a discrete norm. |
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