WIT Press


An Iterative Integral-equation Method For 6th-order Inhomogeneous Partial Differential Equations

Price

Free (open access)

Paper DOI

10.2495/BT960361

Volume

15

Pages

10

Published

1996

Size

706 kb

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

Keywords