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An uncoupling procedure for a class of coupled linear partial differential equations

Published online by Cambridge University Press:  17 February 2009

A. McNabb
A. McNabb
Affiliation:
Applied Mathematics Divsion, Department of Scientific and Industrial Research, Wellington, New Zealand.
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Abstract

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A Fredholm operator exists which maps the solutions of a system of linear partial differential equations of the form ∂u/∂t = DLu + Au coupled by a matrix A onto those solutions of a similar system coupled by a matrix B which have the same initial values. The kernels of this operator satisfy a hyperbolic system of equations. Since these equations are independent of the linear partial differential operator L, the same operator serves as a mapping for a large class of equations. If B is chosen diagonal, the solutions of a coupled system with matrix A may be obtained from the uncoupled system with matrix B.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 4 , April 1985 , pp. 503 - 516
Copyright
Copyright © Australian Mathematical Society 1985

References

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