A new method for solving nonlinear second order partial differential equations

被引：0
作者：
M. Gachpazan
A. Kerayechian
A. V. Kamyad
机构：
[1] Ferdowsi University of Mashhad,Dept. of Mathematics
来源：
Korean Journal of Computational & Applied Mathematics | 2000年 / 7卷 / 2期
关键词：
65N49; Partial differential equations; measure theory; optimal control; approximation theory; linear programming;
D O I：
10.1007/BF03012196
中图分类号：
学科分类号：
摘要：
In this paper, a new method for finding the approximate solution of a second order nonlinear partial differential equation is introduced. In this method the problem is transformed to an equivalent optimization problem. Then, by considering it as a distributed parameter control system, the theory of measure is used for obtaining the approximate solution of the original problem.
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页码：333 / 345
页数：12
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