Finite-difference approximations for a class of nonlocal parabolic boundary value problems

• Autores: Yanping Lin, R.J. Tait
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 3, 1993, pág. 335
• Idioma: inglés
• DOI: 10.1016/0377-0427(93)90061-f
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• Resumen

  • We consider finite-difference approximations for a class of nonlocal parabolic boundary value problems which arise in thermoelasticity and poroelasticity. Approximations for both fixed and natural boundary conditions are considered together with an analysis of their stability. An example arising in testing poroelastic annular cylindrical samples is considered under various boundary conditions and for realistic values of the physical parameters.