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Local discontinuous Galerkin method for solving an N-carrier system



In this article, we present local discontinuous Galerkin (LDG) method for solving a model of energy exchanges in an N -carrier system with Neumann boundary conditions. This model extends the concept of the well-known parabolic two-step model for microheat transfer to the energy exchanges in a generalized N -carrier system with heat sources. The energy norm stability and error estimate of the LDG method is proved for solving N -carrier system. Some numerical examples are given. The numerical results when compared with the exact solution and other numerical results indicate that the present method is seen to be a very good alternative to some existing techniques for realistic problems. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2011

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