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.
COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Mar 1, 1991
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