单词 partial differential equation 释义 BETA

Examples ofpartial differential equation

Dictionary> Examples ofpartial differential equationpartial differential equationisn’t in the Cambridge Dictionary yet. You can help!Add a definitionThe two main problems to be faced when designing a finite-difference scheme for a partialdifferentialequationare: numerical losses and numerical dispersion.From theCambridge English CorpusThe pressure is eliminated from the radial and axial momentum equations to yield a third-order non-linearpartialdifferentialequationfor the stream function.From theCambridge English CorpusAccording to the above analysis this function is given by the solution of a certainpartialdifferentialequation.From theCambridge English CorpusThe non-vortical part of the velocity was then determined by solving a fourthpartialdifferentialequation.From theCambridge English CorpusThe problem is then reduced to the study of a single non-linearpartialdifferentialequationin one unknown.From theCambridge English CorpusAnother, more extreme, example of the need for anisotropic resolution is a contact discontinuity in the solution to a hyperbolicpartialdifferentialequation.From theCambridge English CorpusFor the second system (slab) thepartialdifferentialequation(2.7) is hyperbolic.From theCambridge English CorpusWe add an example of a linearpartialdifferentialequationwith both diffusion and transport terms.From theCambridge English CorpusThis equation is an inhomogeneous linearpartialdifferentialequationwith constant coefficients, and can be solved by standard methods.From theCambridge English CorpusSolving for the (asymptotic) joint steady state queue length distribution involves analyzing a backward parabolicpartialdifferentialequation, together with appropriate side conditions.From theCambridge English CorpusThis yields a singlepartialdifferentialequationfor the film thickness as a function of position on the solid substrate and time.From theCambridge English CorpusA problem for a backward-forward parabolicpartialdifferentialequationwith a small diffusion coefficient is analyzed.From theCambridge English CorpusThispartialdifferentialequationis highly nonlinear, degenerate parabolic and not defined where the gradient of u vanishes.From theCambridge English CorpusA drum is a vibrating membrane: the vibrations are encoded in apartialdifferentialequation(wave equation).From theCambridge English CorpusThis is because the evolutionary equation is either a first orderpartialdifferentialequationor an ordinary differential equation.From theCambridge English CorpusAs a second-orderpartialdifferentialequation, we need to specify two boundary conditions.From theCambridge English CorpusEven 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 CorpusThe equation is a linear inhomogeneouspartialdifferentialequationof elliptic type.From theCambridge English Corpus

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