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| 退化抛物方程组的有限差分法 | |
| 引用本文： | 魏天功. 退化抛物方程组的有限差分法[J]. 陕西师范大学学报(自然科学版), 1995, 0(2) |
| 作者姓名： | 魏天功 |
| 作者单位： | 陕西师范大学数学系 |
| 摘 要： | 对一类非线性退化抛物方程组初边值问题给出了一种差分格式．通过先验估计和Ｌｅｒａｙ－ｓｃｈａｕｄｅｒ不动点定理证明了有限差分方程组离散解的存在性，同时讨论了差分解的收敛性． |
| 关 键 词： | 非线性抛物型方程；差分方程；收敛性；存在性 |
Finite difference methods for degenerate parabolic systems |
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| Wei Tiangong. Finite difference methods for degenerate parabolic systems[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1995, 0(2) | |
| Authors: | Wei Tiangong |
| Abstract: | A class of finite difference schemes for degenerate parabolic systems are given. The existence of the discrete solutions for the finite difference systems is proved by using the prior estamation and Leray-schauder's fixed-point theorem, and the convergence of the finite difference solutions is discussed. |
| Keywords: | nonlinear parabolic systems difference system existence convergence |
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