This article is cited in 3 papers

Applied mathematics

Numerical integration of a biharmonic equation in square field

V. I. Ryazhskikh, M. I. Slyusarev, M. I. Popov

Voronezh State University of Engineering Technologies

Abstract: 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.

UDC: 519.635.1


Accepted: October 25, 2012