- In mathematics, the
biharmonic equation is a fourth-order
partial differential equation which arises in
areas of
continuum mechanics,
including linear...
- In the
mathematical field of
differential geometry, a
biharmonic map is a map
between Riemannian or pseudo-Riemannian
manifolds which satisfies a certain...
- A
biharmonic Bézier
surface is a
smooth polynomial surface which conforms to the
biharmonic equation and has the same
formulations as a Bézier surface...
- 1029/jb076i008p01905. Hardy, R.L. (1990). "Theory and
applications of the multiquadric-
biharmonic method, 20
years of Discovery, 1968 1988". Comp. Math Applic. 19 (8/9):...
- the
screened Poisson equation is
given by the
Bessel potential. For the
Biharmonic equation, [ − Δ 2 ] Φ ( x , x ′ ) = δ ( x − x ′ ) {\displaystyle [-\Delta...
- heat equation, wave equation,
Laplace equation,
Helmholtz equation and
biharmonic equation. The
analytical method of
separation of
variables for solving...
- Sundberg, Carl-Erik (1994). "Invariant
subspaces in
Bergman spaces and the
biharmonic equation".
Michigan Mathematical Journal. 41 (2): 247–59. doi:10.1307/mmj/1029004992...
- \nabla ^{4}\psi =0} or Δ 2 ψ = 0 {\displaystyle \Delta ^{2}\psi =0} (
biharmonic equation) Δ {\displaystyle \Delta } is the
Laplacian operator in two dimensions...
- ∇ 4 u = 0 {\displaystyle \nabla ^{4}\mathbf {u} =0}
which is just the
biharmonic equation in u {\displaystyle \mathbf {u} \,\!} . In this case, the surface...
- higher-order
elliptic PDE, the
simplest example being the fourth-order
biharmonic equation. Even more generally,
there is an
important class of elliptic...
