Variational method for solving non-linear problems of unsteady-state heat conduction

International Journal of Heat and Mass Transfer

Volumn 40, Issue 14, 1997, Pages 3487-3495

  Bondarev, V A ^a  

^a BELARUSIAN NATIONAL TECHNICAL UNIVERSITY   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FUNCTIONS; PROBLEM SOLVING; THERMODYNAMICS; VARIATIONAL TECHNIQUES;

HEAT BALANCE EQUATION; NONLINEAR FUNCTIONAL; THERMODYNAMIC ANALYSIS; VARIATIONAL CALCULUS;

HEAT CONDUCTION;

EID: 0031222902     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00143-3     Document Type: Article

References (5)

1. V. A. Bondarev, Variational formulation of a non-stationary heat-conduction problem, Journal of Engineering Physics, 62, 106-113 (1992).
2. V. A. Bondarev, Error minimization in nonlinear variational unsteady-state heat conduction problems, Journal of Engineering Physics, 65, 903-910 (1993).
3. H. S. Carlslow and J. C. Jaeger, Conduction of Heat in Solid Bodies, 2nd edn. Clarendon Press, Oxford.
4. N. M. Belyaev and A. A. Ryadno, Methods of Heat Conduction Theory, Part 2. Vysshaya Shkola Press, Moscow (1982).
5. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions with Formulae, Graphs and Mathematical Tables, Vol. 55. National Bureau of Standards, Applied Mathematical Series (1964).