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Nonlinear heat equation for nonhomogeneous anisotropic materials: A dual‐reciprocity boundary element solution
Author(s) -
Ang WhyeTeong,
Clements David L.
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20452
Subject(s) - reciprocity (cultural anthropology) , mathematics , partial differential equation , boundary value problem , mathematical analysis , boundary element method , anisotropy , nonlinear system , thermal conduction , partial derivative , singular boundary method , heat equation , finite element method , thermodynamics , physics , psychology , social psychology , quantum mechanics
A dual‐reciprocity boundary element method is presented for the numerical solution of initial‐boundary value problems governed by a nonlinear partial differential equation for heat conduction in nonhomogeneous anisotropic materials. To assess the validity and accuracy of the method, some specific problems are solved. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010