solution of difference equation 中文意思是什麼

solution of difference equation 解釋
差分方程的解
  • 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。
  • of : OF ＝Old French 古法語。
  • 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 the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  2. 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。
  3. 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。
  4. Numerical solution of poisson equation with non - uniform mesh finite difference scheme

    求解雙曲守恆律的均勻二階差分格式
  5. An existence theorem of solution to boundary - value problem governed by second - order difference equation

    二階差分方程邊值問題的一個存在定理
  6. Material balance and energy balance equations of complex multi - effect evaporation system were expressed in matrix equation, which has the advantages of clear structure and high modularization. by holding or omitting correlation block - matrix in matrix equation, matrix equation could be used to describe the difference of forward - feed, back - feed and cross - reed multi - evaporation system with or without solid separation, extra steam being led off to preheat material liquid, condensation water flash, or solution flash. the models include design and operation

    該模型利用矩陣方程具有結構清晰和高度模塊化的特點，將復雜多效蒸發系統的物料及熱量衡算方程組以矩陣形式表達，通過保留或舍棄矩陣中特定功能模塊，模型就能代表有或無固相析出、有或無引出額外蒸汽預熱原料液、有或無冷凝水閃蒸、有或無溶液閃蒸等不同情況以及各種情況任意組合的併流、逆流、錯流多效蒸發過程，從而實現模型的通用性。
  7. Solution of elastic flexure equation by difference method for orthotropic sandwich slab

    用差分法求解正交各向異性夾層板的彈性彎曲方程
  8. Existence of periodic solution difference equation with continuous varity

    具有連續變量差分方程周期解的存在性
  9. Then the equations of elastic problem are imported into the hamilton system in the plane right - angle coordinate system and a new symplectic numerical method, the symplectic difference method of elasticity in hamilton system, is put up based on the mixed equation of elastic problem. the arithmetic of the method is programmed and used in the solution of three problems of elasticity, which is sheet problem, simply girder problem and deep girder p roblem that is pressed equally in the right - angle coordinate system

    然後在平面直角坐標系下將彈性力學問題引入到hamilton體系中來，針對彈性力學混合方程建立了一種新的辛型數值計算方法? ?基於hamilton體系的彈性力學辛差分方法；並且編程實現了該方法的演算法結構，計算了三個具體的算例：受均布載荷的薄板問題、簡直梁問題和深梁問題。
  10. In forth chapter, several difference methods that are suitable for solution of quasilinear equation are presented, namely, one step lax - wendroff scheme, two step lax - wendroff scheme, mac cormark scheme, tvd scheme, harten tvd scheme with two - order precision. all of them are applied to simulate the same traffic - flow question and choose the best scheme under the consideration of their results. in fifth chap ter, power function traffic - flow model and harten tvd scheme with two - order precision are applied to simulate red - green signal traffic - flow, including isolated, synchronous and synchronous changing red - green signal case

    在第4章中，給出了適于求解擬線性方程的幾種差分格式，即一步lax - wendroff格式、二步lax - wendroff格式、 maccormark格式、一階tvd格式、 harten二階tvd格式，並用上述5種格式對同一簡單的交通流問題進行了數值模擬，利用數值結果，篩選出最適合求解具有強間斷特性的交通流問題harten二階tvd格式。
  11. We use a finite difference method to solve pb equation and incorporate the solution into sd simulation, which is called as fdsd simulation procedure and developed by our group before. the solvent is considered as a continuum in fdsd simulation procedure, which gained success in simulation of smaller proteins

    本課題組以前已把用有限差分方法求解pb方程的方法與隨機動力學相結合，得到fdsd模擬程序， fdsd模擬方法在動力學模擬過程中把大量的水分子代之以連續介質。
  12. An extended hyperbolic mild - slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. it became a complete wave model when integrated with corresponding physical and imaginary ( open ) boundaries, and can be solved through the improved crank - nicholson or the well known alternating direction implicit ( adi ) difference method, both of which can accelerate the convergent speed, expand limitation of the mathematical method and improve the quality of the solution

    本文基於綜合考慮底摩阻、風能輸入及非線性影響的推廣雙曲型緩坡方程，將其進行轉換，產生一個演變方程，其復振幅控制方程為拋物線性，並採用adi差分格式、改進的crank - nicholson格式及相應的物理和虛擬（開）邊界條件進行求解，以提高數值模擬的適用性、數值計算的穩定性、收斂速度及精度。
  13. For the model with defined pressure on boundary both inside and outside, the thesis first proofed the discrete numeric solution existence of the general difference equation to the seepage mathematical model by discrete functional analysis ; then it presented a concise and effective numeric solution, predicted - corrected method, and proofed the convergence of it

    （ 3 ）對于內邊界為定壓生產、外邊界也為定壓生產條件下的滲流數學模型，首先利用離散泛函分析方法，就該模型一般形式的差分方程證明其解的存在性;然後給出一種針對此問題的具有較高效率的預估?校正方法，並證明其收斂性。
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