𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The solution of integral equations which arise in periodic problems with mixed boundary conditions

✍ Scribed by V.M. Aleksandrov


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
341 KB
Volume
61
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis


A two-parameter integral ,equation of the first kind with a difference periodic kernel, to which a wide range of periodic problems of the mechanics of continua with mixed boundary conditions can be reduced, is investigated. For the two main versions it is converted to a singular integral equation, which can be effectively solved using many well-known approximate methods. In a special case dosed solutiolm of the initial equation are obtained. Antiplane contact problems for an elastic plane and a cylindrical layer are considered.


πŸ“œ SIMILAR VOLUMES


Boundary value problems in transport wit
✍ Doraiswami Ramkrishna; Neal R. Amundson πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 777 KB

When an mtemally heated body IS cooled along Its boundary by a penpherally flowmg flmd that IS contmually replemshed from an external source, a dlfferentml energy balance on the boundary leads to unfamiliar boundary condltlons Such boundary condltlons Involve mued second denuatrues with respect to s

Numerical solution of a drift-diffusion
✍ G. De Mey πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 434 KB

A one-dimensiorzt drift-diffasion mechai-fi~,,m combined with special boundary conditions is investigated. Thi~ mechanism may be used to de~:ribe the b\_'haviour of mobile ions with surface trapping. The problem is solved numerically wi.th an inte-gr~differential equation and with a double integral