It is the purpose of this paper to develop a unified dual reciprocity boundary element method solution of nonlinear transport phenomena. Physical system represents the general transport equation, ...standing for a broad spectra of mass, energy, momentum, and species transfer problems. This equation is cast into Poisson form and Taylor expanded with respect to the transport variable. Solution procedure is presented within the framework of the method of particular solutions. The homogenous solution problem is structured by the boundary element method by using the Laplace equation fundamental solution weighting and the particular solution problem is structured by the global approximate functions and the dual reciprocity transformation. Both problems are solved simultaneously through iterative algebraic equation solver. This new approach is particulary important when solving coupled, nonlinear, inhomogenous, and anisotropic multifield heat transfer and fluid flow problems.
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