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

摘要/Abstract

摘要： 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.

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

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

叶开源;周又和. ON SOLVING HIGH-ORDER SOLUTIONS OF CHIEN’S PERTURBATION METHOD TO STUDY CONVERGENCE BY COMPUTER[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(4): 305-314.

Yeh Kai-yuan;Zhou You-he. ON SOLVING HIGH-ORDER SOLUTIONS OF CHIEN’S PERTURBATION METHOD TO STUDY CONVERGENCE BY COMPUTER[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(4): 305-314.

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