A numerical modelling of the limit problem for the magnetically noninsulated diode

DOI10.1016/j.amc.2003.12.082zbMath1161.65342OpenAlexW2008732507MaRDI QIDQ1763258

Eugene V. Dulov, Alexander Vladimirovich Sinitsyn

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.082

zbMATH Keywords

Singular boundary value problemBifurcationUpper and lower solutionDerivative free self-convergent methodMagnetic insulationStiff differential equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Technical applications of optics and electromagnetic theory (78A55) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Numerical methods for ordinary differential equations (65L99) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Uses Software

• RODAS
• Ode15s

Cites Work

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• The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 1: Statement of the Problem and Basic Estimates
• The automatic integration of ordinary differential equations