Analysis of solutions to direct and inverse nonlinear heat conduction problems
Abstract
The degree to which various factors influence the numerical solutions to linear, linearized, and nonlinearized direct and inverse problems is studied on the basis of a computer analysis. The principle factors studied are: the type of the implicit or explicit net-point scheme employed; the type of iterative or noniterative scheme used to treat nonlinearities; the type of technique applied to nonlinearities within a given scheme (the range of initial, intermediate, and final temperatures in which averaging is carried out); partial or complete linearization in the passage from a nonlinear steady heat conduction equation to a nonlinear diffusion equation; and the scheme for establishing boundary conditions of the third type. The magnitude of the errors arising from these factors is assessed.
- Publication:
-
Akademiia Nauk Ukrains koi RSR Visnik
- Pub Date:
- August 1974
- Bibcode:
- 1974ViUkr..38....7K
- Keywords:
-
- Computer Techniques;
- Conductive Heat Transfer;
- Heat Flux;
- Nonlinear Equations;
- Numerical Analysis;
- Analog Computers;
- Boundary Conditions;
- Boundary Value Problems;
- Digital Computers;
- Error Analysis;
- Hybrid Computers;
- Iterative Solution;
- Mathematical Models;
- Spherical Shells;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer