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Dynamic programming and the solution of the biharmonic equation

✍ Scribed by Néstor Distéfano

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
667 KB
Volume
3
Category
Article
ISSN
0029-5981

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## Exact Solution of the Biharmonic Integral Equation and its Applications A new type of integral equation, which is called here biharmonic, is studied in detail. An exact closed form solution is obtained for a circular domain by using a new integral representation for a distance between two point

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The coefficients for a nine-point high-order accuracy discretization scheme for a biharmonic equation ∇ 4 u = f (x, y) (∇ 2 is the two-dimensional Laplacian operator) are derived. The biharmonic problem is defined on a rectangular domain with two types of boundary conditions: (1) u and ∂ 2 u/∂n 2 or