基于楔形基函数的微分博弈两点边值问题的逼近

J4 ›› 2011, Vol. 46 ›› Issue (8): 38-41.

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Approximation method for two-point boundary value problem of differential game based on ridge basis function

TIAN Shuang-liang¹, FANG Bao-yan¹*, WANG Zhi-gang²

1. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China;
2. Sunshine Middle School Attached to Xi′an Jiaotong University, Xi′an 710043, Shaanxi, China

Online:2011-08-20 Published:2011-09-08

Abstract

Abstract:

The study of differential game has yielded a number of substantial results. However, numerical method for saddle point strategy is still open question. In this paper, a new method with ridge basis function for twopoint boundary value problem of differential game is developed, where the existence and uniqueness of the solution of twopoint boundary value problem is established and discussed.Also, the method is applied to numerical examples to examine its appropriateness. It will be a useful way to solving the numerical solutions of saddle point strategy.

Key words: differential game; two-point boundary value problem; ridge basis function

TIAN Shuang-liang1, FANG Bao-yan1*, WANG Zhi-gang2. Approximation method for two-point boundary value problem of differential game based on ridge basis function[J].J4, 2011, 46(8): 38-41.