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Analytical Solutions to Two-Dimensional Diffusion Type Problems in Irregular Geometries
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Laminar Flow Inside Hexagonal Ducts
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Analytical Solution to Parabolic Multidimensional Diffusion Problems within Irregularly Shaped Domains
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J. B. Aparecido and R. M. Cotta, Analytical Solution to Parabolic Multidimensional Diffusion Problems within Irregularly Shaped Domains, in International Conference on Advanced Computational Methods in Heat Transfer, Southhampton, UK, vol. 1, pp. 27-38, July 1990.
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R. M. Cotta and R. Ramos, Integral Transforms in the Two-Dimensional Nonlinear Formulation of Longitudinal Fins with Variable Prohle, Int. J. Numerical Methods in Heat and Fluid Flow, vol. 8, no. 1, pp. 27-42, 1998.
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Integral Transformation of Elliptic Problems within Irregular Domains: Fully Developed Channel Flow
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F. A. A. Barbuto and R. M. Cotta, Integral Transformation of Elliptic Problems within Irregular Domains: Fully Developed Channel Flow, Int. J. Numerical Methods in Heat and Fluid Flow, vol. 7, no. 8, pp. 778-793, 1997.
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Simulation of Laminar Flow Inside Ducts of Irregular Geometry Using Integral Transforms
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J. S. Perez Guerrero, J. N. N. Quaresma, and R. M. Cotta, Simulation of Laminar Flow Inside Ducts of Irregular Geometry Using Integral Transforms, Computational Mechanics, vol. 25, no. 4, pp. 413-420, 2000.
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On the Eigenvalues Basic to the Analytical Solution of Convective Heat Transfer with Axial Diffusion Effects
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M. C. Oliveira, R. Ramos, and R. M. Cotta, On the Eigenvalues Basic to the Analytical Solution of Convective Heat Transfer with Axial Diffusion Effects, Communications in Numerical Methods for Engrg., vol. 11, pp. 287-296, 1995.
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Exact Solution of Luikov’s Equations for Drying in Capillary Porous Media
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On the Reduction of Computational Costs in Eigenfunction Expansions of Multidimensional Diffusion Problems
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E. J. Correa, R. M. Cotta, and H. R. B. Orlande, On the Reduction of Computational Costs in Eigenfunction Expansions of Multidimensional Diffusion Problems, Int. J. Numerical Methods in Heat and Fluid Flow. vol. 7, no. 7, pp. 675-695, 1997.
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M. D. Mikhailov and R. M. Cotta, Ordering Rules for Double and Triple Eigenseries in the Solution of Multidimensional Heat and Fluid Flow Problems, Int. Communications in Heat and Mass Transfer, vol. 23, pp. 299-303, 1996.
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