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 two‐dimensional diffusion equations and the one‐dimensional 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.
FENG, Y. (1991), "A NEW METHOD FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 10 No. 3, pp. 195-204. https://doi.org/10.1108/eb010090
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