Analytical solution of a one-dimensional thermistor problem with Robin boundary condition

2019 ◽  
Vol 12 (1) ◽  
pp. 79-88
Author(s):  
Volodymyr Hrynkiv ◽  
Alice Turchaninova
Keyword(s):  
Boundary Condition ◽  
Analytical Solution ◽  
Robin Boundary Condition ◽  
One Dimensional ◽  
Thermistor Problem ◽  
Robin Boundary

scholarly journals Numerical Solution of Heat Equation with Singular Robin Boundary Condition

2018 ◽  
Vol 19 (2) ◽  
pp. 209
Author(s):  
German Lozada-Cruz ◽  
Cosme Eustaquio Rubio-Mercedes ◽  
Junior Rodrigues-Ribeiro
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Numerical Solution ◽  
Dirichlet Boundary ◽  
Robin Boundary Condition ◽  
Robin Boundary Conditions ◽  
Positive Parameter ◽  
One Dimensional ◽  
Small Positive Parameter ◽  
Robin Boundary

In this work we study the numerical solution of one-dimensional heatdiffusion equation with a small positive parameter subject to Robin boundary conditions. The simulations examples lead us to conclude that the numerical solutionsof the differential equation with Robin boundary condition are very close of theanalytic solution of the problem with homogeneous Dirichlet boundary conditionswhen tends to zero

scholarly journals Analytical Solutions of One-Dimensional Contaminant Transport in Soils with Source Production-Decay

Soil Systems ◽  
2018 ◽  
Vol 2 (3) ◽  
pp. 40
Author(s):  
Arianna Moranda ◽  
Roberto Cianci ◽  
Ombretta Paladino
Keyword(s):  
Boundary Condition ◽  
Analytical Solutions ◽  
Contaminated Soils ◽  
Radioactive Decay ◽  
Robin Boundary Condition ◽  
One Dimensional ◽  
Advection Dispersion ◽  
Realistic Description ◽  
Liquid Pools ◽  
Robin Boundary

An analytical solution in closed form of the advection-dispersion equation in one-dimensional contaminated soils is proposed in this paper. This is valid for non-conservative solutes with first order reaction, linear equilibrium sorption, and a time-dependent Robin boundary condition. The Robin boundary condition is expressed as a combined production-decay function representing a realistic description of the source release phenomena in time. The proposed model is particularly useful to describe sources as the contaminant release due to the failure in underground tanks or pipelines, Non Aqueous Phase Liquid pools, or radioactive decay series. The developed analytical model tends towards the known analytical solutions for particular values of the rate constants.

scholarly journals Solutions for parametric double phase Robin problems

2021 ◽  
Vol 121 (2) ◽  
pp. 159-170 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Boundary Condition ◽  
Existence Theorems ◽  
Robin Boundary Condition ◽  
Phase Problem ◽  
Double Phase ◽  
Robin Boundary ◽  
Double Phase Problem

We consider a parametric double phase problem with Robin boundary condition. We prove two existence theorems. In the first the reaction is ( p − 1 )-superlinear and the solutions produced are asymptotically big as λ → 0 + . In the second the conditions on the reaction are essentially local at zero and the solutions produced are asymptotically small as λ → 0 + .

scholarly journals Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition

2020 ◽  
Vol 5 (4) ◽  
pp. 3825-3839
Author(s):  
Yin Deng ◽  
◽  
Gao Jia ◽  
Fanglan Li ◽  
◽  
...  
Keyword(s):  
Boundary Condition ◽  
Multiple Solutions ◽  
Robin Boundary Condition ◽  
Dinger Equation ◽  
Robin Boundary
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