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Diffusion and heat conduction: A brief survey of numerical methods

✍ Scribed by W. Foster

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
683 KB
Volume
4
Category
Article
ISSN
0010-4655

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✦ Synopsis

The limitations of classical mathematical methods for solving the diffusion or heat-conduction equation are well known. It is often impossible and unnecessary to obtain analytic solutions for these equations. Digital computing and recently developed numerical methods have made it possible to obtain high-accuracy solutions where previously no solution at all would have been available.

The paper gives a brief survey of finite difference methods applicable to diffusion and heat-conduction problems.

πŸ“œ SIMILAR VOLUMES

A new numerical method for the boundary
A new numerical method for the boundary optimal control problems of the heat conduction equation
✍ H. M. Park; W. J. Lee πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 179 KB πŸ‘ 1 views

## Abstract A new numerical method is developed for the boundary optimal control problems of the heat conduction equation in the present paper. When the boundary optimal control problem is solved by minimizing the objective function employing a conjugate‐gradient method, the most crucial step is th