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A NEW METHOD FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER

A NEW METHOD FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER A new method is derived for solving systems of ordinary differential equations of the first order. It is fully explicit, requires no matrix inversion, and shows relatively large time steps. The one and twodimensional diffusion equations and the onedimensional electron transport equations of semiconductor devices are solved to demonstrate both the accuracy and the efficiency of the proposed method. This method is accurate and efficient when results are compared with analytical solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

A NEW METHOD FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0332-1649
DOI
10.1108/eb010090
Publisher site
See Article on Publisher Site

Abstract

A new method is derived for solving systems of ordinary differential equations of the first order. It is fully explicit, requires no matrix inversion, and shows relatively large time steps. The one and twodimensional diffusion equations and the onedimensional electron transport equations of semiconductor devices are solved to demonstrate both the accuracy and the efficiency of the proposed method. This method is accurate and efficient when results are compared with analytical solutions.

Journal

COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Mar 1, 1991

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