fourth-order equation 中文意思是什麼

fourth-order equation 解釋
四階方程
  • fourth : n 每月的四日；【音樂】四度音程，四度和音，第四音； 〈pl 〉 【商業】四級品。 a fourth part 四分之...
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  • 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. Unique existence and blowup characteristics of global solution for initial boundary value of a class of nonlinear wave equation of fourth order

    一類具有非線性邊界阻尼和源項的非線性波動方程的解的漸近性
  2. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  3. The momentum equations are integrated in time using the four - stage explicit jameson runge - kutta algorithm and discretized in space using fourth order accurate compact scheme as well as the pressure poisson equation

    動量方程的時間導數採用四步jamesonrunge - kutta法，空間導數和壓力poisson方程均採用四階高精度緊致格式。
  4. Positive solutions for a class of boundary value problems of fourth order difference equation

    一類四階差分方程邊值問題的正解
  5. An outstanding meaningful fourth order ordinary differential equation is considered, whose solutions constitute some particular solutions of a great number of partial differential equations which depend on a time and space variables. such as stationary solutions, travelling waves and certain more solutions with complex relation between time and space variables

    這類方程的解構成許多恰含有一個時間與空間變量的偏微分方程的某種特殊解；如與時間無關的定常解及時空間成線性關系的行波解，乃至具有更為復雜的時空間關系的解。
  6. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  7. Based on former work, a finite difference viscous code that uses a high convergence, high accuracy, high resolution lu - sgs - ge implicit scheme and an improved fourth ( fifth ) - order high resolution muscl tvd scheme to integrate the full 3d navier - stokes equations and the low - reynolds number two - equation turbulence model is extended to simulate the flow field inside centrifugal impeller mechanism

    並且在現有工作基礎之上，將基於有限差分方法的高收斂率、高精度、高解析度的lu - sgs - ge隱式格式和四（五）階muscltvd格式求解全三維navier - stokes方程和低雷諾數雙方程湍流模型的計算程序推廣到離心葉輪機械內部流場的數值求解。
  8. The equation was solved with both the time finite element method and the fourth order runge - kutta method

    分別用時間有限元方法和四階的runge - kutta方法對方程進行了求解。
  9. At last we apply the results to a kind of fourth order elliptic boundary value problem and duffing equation

    最後我們將所得結論應用到一類四階橢圓型微分方程和duffing方程，給出了它們的解存在唯一的一些結果。
  10. The global existence of solution to the initial - boundary value problem of a nonlinear fourth - order wave equation with a damping term and a force source term was proved based on the standard semigroup theory and by introducing a modified energy function

    摘要根據半群理論，引進修改的能量函數，證明了具有阻尼項和力源項的四階波動方程的初邊值問題解的整體存在性。
  11. Chapter 3 deals with the lumped mass finite element methods and error estimations for fourth order nonstationary elliptic equation. chapter 4 disscusses finite element methods and error estimations for linear and nonlinear the hyperbolic equations. chapter 5 presents the lumped mass finite element methods and error estimations for the nonstationary stokes problem

    全文分六章，第一章緒論；第二章論述解拋物問題的質量集中非協調有限元方法及其誤差估計；第三章論述非穩態四階橢圓方程的有限元方法及其誤差估計；第四章論述線性與非線性雙曲型方程的有限元方法及其誤差估計；第五章論述stokes問題的質量集中有限元方法及其誤差估計；第六章論述管道bingham流的質量集中有限元方法及其誤差估計。
  12. Its contents include results on the finite element method for the dynamics equations, the lumped mass finite element methods and error estimations for solving the parabolic problem, fourth order nonstationary elliptic equation, the nonstationary stokes problem and bingham fluid problem, the finite element methods and error estimations for solving linear and nonlinear the hyperbolic equations

    內容包括關于求解工程力學方程有限元方法的最新結果。解拋物問題、非穩態四階橢圓方程、 stokes問題以及管道bingham流的質量集中有限元方法及其誤差估計，解線性與非線性雙曲型方程的有限元方法及其誤差估計。
  13. By using the theorem of fixed points on cone a class of boundary value problems of fourth order difference equation was discussed and the sufficient condition of existence of one or two positive solutions was obtained

    摘要利用錐上的不動點定理對一類四階差分方程進行了討論，得到了一個及兩個正解的存在性的充分條件。
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