| 单词 | partial differential equation |
| 释义 | BETA Examples ofpartial differential equationDictionary> Examples ofpartial differential equation partial differential equationisn’t in the Cambridge Dictionary yet. You can help! Add a definition The two main problems to be faced when designing a finite-difference scheme for a partialdifferentialequationare: numerical losses and numerical dispersion. From theCambridge English Corpus The pressure is eliminated from the radial and axial momentum equations to yield a third-order non-linearpartialdifferentialequationfor the stream function. From theCambridge English Corpus According to the above analysis this function is given by the solution of a certainpartialdifferentialequation. From theCambridge English Corpus The non-vortical part of the velocity was then determined by solving a fourthpartialdifferentialequation. From theCambridge English Corpus The problem is then reduced to the study of a single non-linearpartialdifferentialequationin one unknown. From theCambridge English Corpus Another, more extreme, example of the need for anisotropic resolution is a contact discontinuity in the solution to a hyperbolicpartialdifferentialequation. From theCambridge English Corpus For the second system (slab) thepartialdifferentialequation(2.7) is hyperbolic. From theCambridge English Corpus We add an example of a linearpartialdifferentialequationwith both diffusion and transport terms. From theCambridge English Corpus This equation is an inhomogeneous linearpartialdifferentialequationwith constant coefficients, and can be solved by standard methods. From theCambridge English Corpus Solving for the (asymptotic) joint steady state queue length distribution involves analyzing a backward parabolicpartialdifferentialequation, together with appropriate side conditions. From theCambridge English Corpus This yields a singlepartialdifferentialequationfor the film thickness as a function of position on the solid substrate and time. From theCambridge English Corpus A problem for a backward-forward parabolicpartialdifferentialequationwith a small diffusion coefficient is analyzed. From theCambridge English Corpus Thispartialdifferentialequationis highly nonlinear, degenerate parabolic and not defined where the gradient of u vanishes. From theCambridge English Corpus A drum is a vibrating membrane: the vibrations are encoded in apartialdifferentialequation(wave equation). From theCambridge English Corpus This is because the evolutionary equation is either a first orderpartialdifferentialequationor an ordinary differential equation. From theCambridge English Corpus As a second-orderpartialdifferentialequation, we need to specify two boundary conditions. From theCambridge English Corpus Even without collisions, in fully three-dimensional flow it is a six-dimensional partialdifferentialequation(sevendimensional with time) that will quickly exhaust available computer resources. From theCambridge English Corpus The equation is a linear inhomogeneouspartialdifferentialequationof elliptic type. From theCambridge English Corpus These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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