Geodesic
An analysis of a vacuum diode model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2

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One of the vacuum diode models is written as a singular boundary value problem for two ODEs of the second order with one parameter. The parameter is unknown and must be found along with the initial conditions at the origin to satisfy the boundary conditions at the end of the interval. The problem presents considerable difficulties in its theoretical and, especially, numerical study. Here we give a complete analytical and numerical solution of this problem. 
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     author = {V. P. Varin},
     title = {An analysis of a vacuum diode model},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2013},
     language = {en},
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V. P. Varin. An analysis of a vacuum diode model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a7/