Finite difference schemes for the Schrodinger-Maxwell equations (with a general non-linear term)

Authors:
Nikos E. Mastorakis
Affiliations:
WSEAS Research Department, Zografou, Athens, Greece and Technical University of Sofia, English Language Faculty, Industrial Engineering Department, Sofia, Bulgaria and Military Institutes of Unive ...
Venue:
FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Year:
2009

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Abstract

In this paper, the Numerical Solution of the system of PDEs of Schrodinger-Maxwell equations (with a general nonlinear term) via an appropriate Finite Difference Scheme is introduced. The Existence and Uniqueness of the discretization of the system of the PDEs of Schrodinger-Maxwell equation is also provided.