Geodesic
Numerical integration of a biharmonic equation in square field
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2013), pp. 52-62

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The finite-difference algorithm of the numerical solution of a boundary-value problem for a biharmonic equation with a known right-hand member and zero conditions on required function and its normal gradient on boundary of a square field which was found on ideas of a relaxation method is suggested. The comparative analysis of the results obtained has confirmed efficiency of a computing circuit. Bibliogr. 20. Il. 2. Tabl. 2.
Keywords: biharmonic equation, relaxation method, finite-difference scheme. 
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V. I. Ryazhskikh; M. I. Slyusarev; M. I. Popov. Numerical integration of a biharmonic equation in square field. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2013), pp. 52-62. http://geodesic.mathdoc.fr/item/VSPUI_2013_1_a5/