The radial solution of the heat equation in the cylindrical ring
2010
artykuł naukowy
angielski
- parabolic equation
- radial solution
- initial-boundary value problem
- Green function
- heat potentials nonlinear integral equation
- Banach fixed point theorem
EN The subject of the paper is the construction of a solution to the parabolic problem for the cylindrical ring with initial condition of Cauchy type and boundary conditions of Dirichlet type. To construct the radial solution we do not use the Bessel functions but we apply the convenient Green function, heat potentials and Banach fixed point theorem.
69 - 83
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny