Analytical solution of the discrete ordinates problem by the decomposition method

Annals of Nuclear Energy

Volumn 24, Issue 10, 1997, Pages 785-791

  Vargas, Rubem M F ^a   De Vilhena, Marco T M B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

DECOMPOSITION METHOD; DISCRETE ORDINATES PROBLEM;

DIFFERENTIAL EQUATIONS;

EID: 0031186493     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0306-4549(96)00053-9     Document Type: Article

References (10)

1. Adomian, G. (1988) A review of the decomposition method in applied mathematics. Journal of Mathematical Analysis and Applications 135, 501-544.
2. Barichello, L. B. (1992) Analytical formulations for the solution of one-dimentional discrete ordinates problem. Ph.D. thesis, Federal University of Rio Grande do Sul-PROMEC-UFRGS.
3. Barichello, L. B. and Vilhena, M. T. (1993) A general analytical approach to the one group one dimensional transport equation. Kerntechnik 58, (3), 182-184.
4. Barros, R. C. and Larsen, E. W. (1990) A numerical method for one-group slab-geometry discrete ordinates problems with no spatial truncation error. Nuclear Science and Engineering 104, 199-208.
5. Cherruault, Y. Convergence of Adomian's Method. Private communication.
6. Kreider, D. L., Kuller, R. G., Ostberg, D. R. and Perkins, F. W. (1966) An Introduction to Linear Analysis. Addison-Wesley Publishing Company Inc., Massachusetts.
7. Vilhena, M. T. and Barichello, L. B. (1991) A new analytical approach to solve the neutron transport equation. Kerntechnik 56, 334-336.
8. Vilhena, M. T. and Barichello, L. B. (1995) An analytical solution for the multigroup slab-geometry discrete ordinates problems. Transport Theory and Statistical Physics 24 (9), 1337-1352.
9. Zabadal, J. (1994) Solution of multidimensional transport equation by the LTSN method. Ph.D. thesis, Federal University of Rio Grande do Sul-PROMEC-UFRGS, Brazil.
10. Zabadal, J., Vilhena, M. and Barichello, L. (1995) Solution of the three-dimensional one group discrete ordinates problems by the LTSN method. Annals of Nuclear Energy 22 (2), 131-134.