higher-order perturbation solution 中文意思是什麼

higher-order perturbation solution 解釋
高階擾動解
  • higher : adj 〈high 的比較級〉較高的；高等的。 higher command 【軍事】＝ high command higher criticism 聖...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • perturbation : n. 1. 慌張，動搖；混亂。2. 狼狽，不安，焦慮。3. 引起不安[混亂]的事物；引起動搖的原因。4. 【天文學】攝動；【物理學】微擾。adj. -al
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution

    其次，以一具有時滯速度反饋的duffing系統為例，研究了經典攝動法如多尺度法， poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題，指出利用這些方法只能有效求得系統的前兩階近似解，而在求系統的三次以上近似解時會出現矛盾或二義性。
  2. We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior

    摘要研究一類高階微分方程兩點邊值問題的奇攝動，揭示了其解分別在兩端點呈現雙重邊界層的性質。
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