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An Efficient Methodology for the Physical Sciences

G. Adomian (formerly Distinguished Professor and Director, Center for Applied Mathematics, University of Georgia, USA. Now US Government and Industrial Consultant, 155 Clyde Road, Athens, GA 30605, USA)

Kybernetes

ISSN: 0368-492X

Publication date: 1 July 1991

Abstract

The decomposition model has demon‐strated accurate and physically realistic solutions of systems modelled by non‐linear equations. Linear or determin‐istic equations become simple special cases and the result is a general method of solution connecting the fields of ordinary and partial differential equations. No linearisation or resort to numerically intensive discretised methods is involved. The avoidance of these limiting and restrictive methods offers physically correct solutions as well as insights into the behaviour of real systems where non‐linear effects play a crucial role. In difficult applications, such as those now approached by computational fluid dynamics, the potential saving in computation will be substantial. The method clearly offers the potential of a significant step forward in the rapid solution of complex applications in a time and memory‐saving manner with important implications for computa‐tional analysis and modelling.

Keywords

Citation

Adomian, G., Rach, R.C. and Meyers, R.E. (1991), "An Efficient Methodology for the Physical Sciences", Kybernetes, Vol. 20 No. 7, pp. 24-34. https://doi.org/10.1108/eb005909

Publisher

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MCB UP Ltd

Copyright © 1991, MCB UP Limited