one dimensional differential equation 中文意思是什麼

one dimensional differential equation 解釋
一維微分方程
  • one : adj 1 獨一個的，單一的。 one hand 一隻手。 one shot 只出一期的雜志。 O swallow doesn t make a sum...
  • dimensional : adj. 1. 尺寸的。2. 空間的。3. 【數學】因次的；…次（元）的。
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. According to the heat conduction spreading only in the direction of local surface normal on infinitesimal control surface and laser machining reaching steady state instantaneously, a three - dimensional transient partial differential equation was translated into a one - dimensional constant differential equation

    根據在微元控制面上熱傳導只發生在表面法向，並且激光加工在暫態達到準穩態，將三維暫態偏微分方程轉化為一維常微分方程。
  2. With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
  3. ( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation

    第二章和第三章考慮非線性偏微分方程的精確解的構造：首先給出了c - d對和c - d可積系統的基本理論，然後在第三章中具體研究了它們的應用： （ 1 ）基於兩種riccati方程，提出了兩種新的求解非線性微分方程更多解的方法，利用其中的一種方法，得到了wbk方程的12組精確解； （ 2 ）對齊次子衡法進行改進，以致於獲得了（ 2 + 1 ） -維broer - kaup方程的很多新解； （ 3 ）基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對，提出了該方程的一個新的darboux變換，利用該變換，得到了新的類孤波解和有理解； （ 4 ）通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理，獲得（ 2 + 1 ） -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。
  4. In this thesis, we study ultraconvergence of finite element approximation in one dimensional case ( include two - point boundary value problem, one dimensional parabolic equation and parabolic type integro - differential equation )

    本文研究一維問題（包括兩點邊值問題，一維拋物問題及拋物型積分-微分方程）有限元逼近的強超收斂性。
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