A finite difference solution for the transient nonlinear heat conduction equation in a finite slab with a radiation boundary condition is proposed. An implicit finite difference approximation is used which enables accurate estimation of the surface temperature as well as prevention of oscillation of
On the sputtering of metals and insulators: A nonlinear evolution problem with nonlinear boundary condition
β Scribed by Hongfei Zhang
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 624 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0022-0396
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## Abstract In this paper, a constant heat transfer coefficient present in a nonlinear Robinβtype boundary condition associated with an elliptic equation is reconstructed uniquely from a single boundary energy measurement. Two types of such boundary energy measurement are considered, and solvabilit
We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ΒΉ ), j S j R # j S j "h(u) on j ;(0, ΒΉ ), where is a bounded domain in 1,, is the outer normal on j and h is a superlinear function. As an application of our results we show the existence of sign-changing sta