Existence and uniqueness of the modified error function
Copyright policy )Existence and uniqueness of the modified error function
This article is devoted to prove the existence and uniqueness of solution to the non-linear second order differential problem through which is defined the modified error function introduced in Cho-Sunderland, J. Heat Transfer, 96-2:214-217, 1974. We prove here that there exists a unique non-negative analytic solution for small positive values of the parameter on which the problem depends.
- National Scientific and Technical Research Council Argentina
- National University of Rosario Argentina
- Austral University Argentina
- National University of Comahue Argentina
- Bariloche Atomic Centre Argentina
Nonlinear second order ordinary differential equation, Boundary value problems on infinite intervals for ordinary differential equations, Temperature dependent thermal conductivity, TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY, Ciencias Puras, nonlinear second order ordinary differential equation, modified error function, ERROR FUNCTION, NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION, PHASE CHANGE PROBLEM, Error function, Mathematics - Classical Analysis and ODEs, Phase change problem, Classical Analysis and ODEs (math.CA), FOS: Mathematics, https://purl.org/becyt/ford/1.1, MODIFIED ERROR FUNCTION, error function, https://purl.org/becyt/ford/1, Modified error function, phase change problem, temperature-dependent thermal conductivity
Nonlinear second order ordinary differential equation, Boundary value problems on infinite intervals for ordinary differential equations, Temperature dependent thermal conductivity, TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY, Ciencias Puras, nonlinear second order ordinary differential equation, modified error function, ERROR FUNCTION, NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION, PHASE CHANGE PROBLEM, Error function, Mathematics - Classical Analysis and ODEs, Phase change problem, Classical Analysis and ODEs (math.CA), FOS: Mathematics, https://purl.org/becyt/ford/1.1, MODIFIED ERROR FUNCTION, error function, https://purl.org/becyt/ford/1, Modified error function, phase change problem, temperature-dependent thermal conductivity
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