The analytic element method has been applied to problems of biharmonic equations.
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Where \ nabla ^ 4 is the biharmonic operator.
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Where is the 2D biharmonic operator and is the kinematic viscosity, } }.
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The general form of a biharmonic function in 2 variables can also be written as
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Consider the two-dimensional biharmonic equation
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As the stream function in a Stokes flow problem, \ psi satisfies the biharmonic equation.
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Just as harmonic functions in 2 variables are closely related to complex analytic functions, so are biharmonic functions in 2 variables.
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Reflection lines visualized on surfaces " completed " using a biharmonic and triharmonic equation with C ^ 1 and C ^ 2 surface continuity respectively.
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We have biharmonic equation, but I didn't see any p other than 1 and 2 . talk ) 20 : 19, 17 July 2008 ( UTC)
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The method of separation of variables is also used to solve a wide range of linear partial differential equations with boundary and initial conditions, such as the heat equation, wave equation, Laplace equation, Helmholtz equation and biharmonic equation.
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