Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (4): 305-314.

• Articles •     Next Articles

ON SOLVING HIGH-ORDER SOLUTIONS OF CHIEN’S PERTURBATION METHOD TO STUDY CONVERGENCE BY COMPUTER

Yeh Kai-yuan1, Zhou You-he2   

  1. 1. Lanzhou University, Lanzhou;
    2. Huazhong University of Science and Technology, Wuhan
  • Received:1985-09-11 Online:1986-04-18 Published:1986-04-18

Abstract: In this paper, we have obtained the analytical formula of arbitrary n-th order perturbation solution which perturbation parameter is central deflection for circular thin plate under a concentrated load by means of its integral equation. All unkown constants of every perturbation solution can be determined by computer. Hence higher order perturbation solution is obtained. Based on the solution of higher order perturbation, asymptotical property and suitable interval of Chien’s perturbation method are also discussed.

Key words: tidal flow, wind stress, circulation, shallow water, seiche, hybrid finite analytic method, density gradient

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