| ON SOLVING HIGH-ORDER SOLUTIONS OF CHIEN’S PERTURBATION METHOD TO STUDY CONVERGENCE BY COMPUTER |
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| 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.
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| 收稿时间： | 1985-09-11 |
On solving high-order solutions of Chien's perturbation method to study convergence by computer |
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| 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. DOI: 10.1007/BF01898220 |
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| Authors: | Yeh Kai-yuan Zhou You-he |
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| Affiliation: | (1) Lanzhou University, Lanzhou;(2) Huazhong University of Science and Technology, Wuhan |
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| 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. |
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