Abstract
The phaseplane method is an iterative method which allows the defining equations to be easily modified without having to do much preparatory work, in the form of re-writing of code, for the resulting numerical solutions. Extra variables are defined to enable the system of second order differential equations to be written as a system of first order equations, and the enlarged system is iterated in the phase plane which is spanned by this enlarged set of variables. It is shown how this method can be tailored to the specific needs of device modelling.
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© 2009 Springer-Verlag London
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Cole, E.A.B. (2009). Solution of equations: the phaseplane method. In: Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming. Springer, London. https://doi.org/10.1007/978-1-84882-937-4_11
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DOI: https://doi.org/10.1007/978-1-84882-937-4_11
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Publisher Name: Springer, London
Print ISBN: 978-1-84882-943-5
Online ISBN: 978-1-84882-937-4
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