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An iterative integral-equation method for 6th-order inhomogeneous partial differential equations

Author(s): B. Lonsdale, M.I.G. Bloor & M.A. Kelmanson Abstract: Presented herein is a novel and widely-applicable iterative integral-equation method for the solution of 6th-order PDEs; one such example arising in the theory of rotating viscous fluids is presented by way of demonstration of the method's ac- curacy. The nature of the formulation permits its extension to a variety of other PDEs, and so the method has the potential for widespread applications. 1 Introduction We present a boundary-integral-equation method which introduces an iterative tech- nique for solving inhomogeneous 6th order PDEs of the form V^/> = /(•*/> ), where / is a known function. Traditional boundary element procedures would solve this problem via a problem-specific Green's function Gf satisfying V^G/ - /(G/) = 8(x — Xo)8(y — t/o), where 8 is the Dirac delta funct... Pages: 10 Size: 706 kb Paper DOI: 10.2495/BT960361

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Download the Full Article This article is part of the WIT OpenView scheme and you can download the full text Adobe PDF article for FREE by clicking the 'Openview' icon to the right.