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    Casabán, M.C. Jódar, L. and Sánchez Cano, J.A. 2002. Stable numerical solution of strongly coupled mixed diffusion problems. Applied Mathematics Letters, Vol. 15, Issue. 1, p. 115.


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    Soler, Vicente Defez, Emilio Ferrer, M. V. and Camacho, J. 2013. On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems. Abstract and Applied Analysis, Vol. 2013, p. 1.


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  • Proceedings of the Edinburgh Mathematical Society, Volume 43
  • June 2000, pp. 269-293

Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems

  • L. Jódar (a1), E. Navarro (a1) and J. A. Martin (a2)
  • DOI: http://dx.doi.org/10.1017/S0013091500020927
  • Published online: 20 January 2009
Abstract
Abstract

This paper deals with the construction of exact and analytical-numerical solutions with a priori error bounds for systems of the type ut = Auxx, A1u(0, t) + B1ux (0, t) = 0, A2u (1, t) + B2ux (1, t) = 0, 0 < x < 1, t > 0, u(x, 0) = f(x), where A1, A2, B1 and B2 are matrices for which no simultaneous diagonalizable hypothesis is assumed, and A is a positive stable matrix. Given an admissible error ε and a bounded subdomain D, an approximate solution whose error with respect to an exact series solution is less than ε uniformly in D is constructed.

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1. M. H. Alexander and D. E. Manolopoulos , A stable linear reference potencial algorithm for solution of the quantum close-coupled equations in molecular scattering theory, J. Chem. Phys. 86 (1987), 20442050.


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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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