finite difference equation 中文意思是什麼

finite difference equation 解釋
有限差分方程
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  • 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. In this paper, the crank - nicolson type finite difference method is applied to the benjamin - bona - mahony equation. we obtain the existence and uniqueness of the numerical solutions

    在這篇文章中，使用crank - nicolson有限差分方法來離散benjamin - bona - mahony方程，得到其數值解的存在性和唯一性。
  2. In the thesis, the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation. optimizations of the parameters of the finite - difference operator improve the validity of the method

    本論文用連分式近似單程波波動方程中的平方根導出ffd演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。
  3. Finite difference domain decomposition algorithm on unstructured triangular mesh for parabolic equation

    一類無結構三角網上拋物方程的有限差分區域分解演算法
  4. In chapter 5, we extent the results of the finite difference domain decomposition algorithm of paper [ 13 ] for two dimensional heat equation and give some numerical results

    在第五章，我們在二維熱傳導方程求解上擴充了dawson等人的區域分解演算法。給出了關于演算法計算精度的數值結果。
  5. ( 3 ) temperature field and residual capacity of reinforced concrete member after fire studied by the numbers, various boundary conditions of heat exchange equation and the solutions of them given an account, the formulae of the residual capacity of the members after fire established, the program of temperature field programmed on the basic of finite difference algorithm, a case given to demonstrate

    （ 3 ）對火災后構件溫度場的分佈和剩餘承載力的計算進行了系統地分析和研究。討論了熱傳導方程的各種邊界條件及相應的解法，建立了不同構件的剩餘承載力計算公式，並結合工程實例用有限差分法編制了相應的溫度場計算程序，與實例吻合良好。
  6. When the rotation at the ends of a loaded strut is restrained, the equation cannot be used in the finite-difference solution.

    當受載支柱的端點轉動受到約束時，方程不能用於有限差分解。
  7. In chapter 2, the first and the second section give explicit explanations of how to use split - step fourier transformation ( ssft ) algorithm and finite - difference methods to solve nonlinear equation. a code table, in which a list of normalized transmission formula is included, is given to facilitate programming

    第二章，前兩節詳細介紹了如何用分步傅里葉變換演算法和有限差分法實際求解非線性方程，並給出了求解光束、脈沖及脈沖光束的歸一化方程編碼表，供編程參考。
  8. Based on the navier - stockes equation, the finite difference method was applied to variance the simplified n - s equation on cylindrical coordinate system. then, 3 - d model of the spiral flow locally generated in circular pipe with steady and axial - symmetry condition was founded. the ordinary iterative method of gauss - seidel was induced

    太原理工大學碩士學位論文本文以局部起旋條件下的圓管螺旋流為模擬對象，從以速度和壓強為自變量的微分方程一navier一5tokes方程出發，利用有限差分法對柱坐標系下簡化后的n一s方程進行離散，建立定常的、軸對稱的三維計算模型。
  9. Based on the semi - vector wave equation under cylindrical coordinate system, the mode distribution and complex propagation constant in bent waveguides were computed by a finite difference method with perfectly matched layer ( pml ) boundary condition

    摘要以柱坐標下的半矢量波動方程為基礎，採用基於完美匹配層（ pml ）邊界條件的有限差分方法，對彎曲波導進行模式求解，進而得到波導彎曲引起的輻射損耗。
  10. On the basis of the theory about water potential in soils, a partial differential equation of water movement in unsaturated soils is derived, which chose volumetric water content as the control variable. the numerical solution of the equation using finite difference method is discussed in this paper, and the modality to calculate water movement in slope considering rain infiltration

    基於非飽和土的土水勢理論，本文推導了以體積含水率為因變量的二維非飽和土的水分運動方程，並給出了用有限差分法來求解此偏微分方程的方法，得到了考慮降雨入滲影響的土坡水分運動的計算程式。
  11. This conversion is based on the analytic expression of sonic and elastic wave equation, and use the different wave field extrapolation, which is initially used in seismic migration and forward modeling. this paper introduces the easy and efficient finite - difference method to realize the conversion by comparing three different methods

    論文經過對三種常規波場延拓方法（ kirchhoff積分法、頻率波數域法和有限差分法）優缺點的比較，採用了簡單易用的有限差分方法來實現這種轉換。
  12. The flow equations are solved using finite difference technique. using body - fitted curvilinear coordinate system treated the boundary conditions. by iteratively solving the flow governing equation and the blade equation, the design of axial flow pump impeller in the quasi - three - dimensional rotational flow can be performed according to the angular momentum distribution, the blade which was designed in the lifting method, flow channel and the blade thickness given

    其次在流動無粘性、不可壓及考慮葉片厚度的條件下，依據葉輪內的流動特性，推導了葉輪內三維流動周向平均流動控制方程以及葉片方程；在貼體坐標系中，採用有限差分法求解流動方程和葉片方程；在採用升力法設計出的葉片作為初始葉片、給定葉片速度矩分佈、葉片厚度分佈和葉輪軸面流道幾何形狀條件下，迭代求解流動控制方程及葉片方程，實現了軸流泵葉輪的準三維方法設計。
  13. ( 5 ) discuss some mathematical models of the pollutant transport problems in some local river flow fields. by integral transform method, the paper establishes the usual finite difference approximation scheme to solve the numerical solutions and gives examples for the computation of the approximating solutions, moreover, discusses one - dimensional characteristic finite difference method for a convection - diffusion equation under usual conditions

    （ 5 ）針對水域中污染物輸移問題的數學模型，通過積分變換法，得到了簡化模型在理想化條件下的近似精確解，同時給出數值算例，並且對非理想化條件下模型的特徵差分方法進行了討論。
  14. According to energy conservation equation and fusion and evaporation characteristics of electrode materials, a simplified one - dimension mathematical model was made and numerically solved by means of fdtd ( finite - difference time - domain )

    根據能量守恆方程，同時考慮了電極材料的熔解和氣化特性，建立了電極燒蝕過程的一維簡化數學模型，並採用時域有限差分法（ fdtd ）進行了數值求解。
  15. When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard

    在泥石流堆積數值模擬方面，作者以前人工作成果為基礎，在建立數學模型時，根據質量守恆原理，推導建立了泥石流連續性方程，根據動量守恆原理，推導建立了泥石流運動方程;在數值解法上，充分利用高速發展的計算機技術，採用運算元分裂法建立數學模型的差分格式，開放式編製程序，人機對話方式設置參數，計算機程序具有通用性、可擴展性和易維護性。
  16. Application of the cauchy ' y law of continua, the motion equation of the tetrahedral element is concluded, and discretization the analysis zone, applying the finite difference method, all tetrahedral differential equations of motion are converted into the nodal finite difference equation

    快速拉格朗日分析程序運用連續介質的柯西定律，推導出四面體單元運動偏微分方程，並離散化分析區域，用有限差分計算方法，把所有的四面體單元運動偏微分方程等效成節點有限差分方程。
  17. The text is detailed to study the deducing process of the nodal finite difference equation, and to study its application hi the rock mass engineering problems

    本文詳細研究了節點有限差分運動方程的推導過程，以及在巖土工程問題中的應用。
  18. Thus, non - negative property is suggested as the criterion of stability. furthef, diffusion coefficient is replaced by an artificial one in the finite difference equation to simulate the entropy generation can improve the accuracy of the numerical analysis

    在盡可能滿足對流擴散過程數值格式中的輸運性或守恆性及穩定性的同時，以擴散熵產模擬為原則的偽擴散系數可有效地提高數值模擬的模擬性，為數值計算中擴散系數的修正提供了一種有效的手段。
  19. A computer program is developed to solve the finite - difference equation

    為以後更復雜的研究打下了基礎。
  20. The model assimilates the latest results in the research and is solved by numerical approach which is called finite - difference equation 。 combined with experimental system, this model simulates the temperature of the water which comes from ground heat exchangers and the round temperature field

    結合實驗系統和傳熱模型，我們對製冷運行中地下換熱器的出水溫度及周圍溫度場分佈進行了模擬分析，並給出了鉆孔的平均傳熱系數的公式。
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