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退化抛物方程组的有限差分法
Finite difference methods for degenerate parabolic systems
【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.
【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.
【关键词】 非线性抛物型方程;
差分方程;
收敛性;
存在性;
【Key words】 nonlinear parabolic systems; difference system; existence; convergence;
【Key words】 nonlinear parabolic systems; difference system; existence; convergence;
- 【文献出处】 陕西师大学报(自然科学版) ,Journal of Shaanxi Normal University(Natural Science Edition) , 编辑部邮箱 ,1995年02期
- 【分类号】O241.82
- 【下载频次】21