A Legendre Wavelet Method for the Radiative Transfer Equation in Remote Sensing

References

• Yi , W. , Yingkui , M. and Peizhu , D. 1996 . A linear spline approximation for radiative transfer problems in slab medium anisotropic scattering . J. Quant. Spectrosc. Radiat. Transfer , 55 ( No. 1 ) : 1 – 5 .
   Google Scholar
• . Ahmad , S. and Deering , D. 1992 . A simple analytical function for bidirectional reflectance . J. Geophys. Res. , 97 : 18867 – 18886 .
   Web of Science ®Google Scholar
• Wilson , S. J. and Sen , K. K. 1986 . Generalized Eddington approximation method for radiative transfer problems in slab medium . J. Quant. Spectrosc. Radiat. Transfer , 35 : 467 – 472 .
   Google Scholar
• Tsai , J. R. and Ozisik , M. N. 1989 . Radiation in spherical symmetry with anisotropic scattering and variable properties . J. Quant. Spectrosc. Radiat. Transfer , 42 : 187 – 199 .
   Web of Science ®Google Scholar
• Sutton , W. H. and Ozisik , M. N. 1979 . An iterative solution for anisotropic radiative transfer in a slab . J. Heat Transf. , 101 : 695
   Web of Science ®Google Scholar
• Domoto , G. A. and Wang , W. C. 1974 . Radiative transfer in homogeneous nongray gases with nonisotropic particle scattering . J. Heat Transf. , 96 : 385
   Web of Science ®Google Scholar
• Tien , C. L. and Tong , T. W. 1980 . Resistance-network representation of radiative heat transfer with particulate scattering . J. Quant. Spectrosc. Radiat. Transfer , 24 : 491 – 503 .
   Google Scholar
• Canosa , J. and Penafiel , H. R. 1973 . A direct solution of the radiative transfer equation: application to Rayleigh and Mie atmospheres . J. Quant. Spectrosc. Radiat. Transfer , 13 : 21 – 39 .
   Web of Science ®Google Scholar
• Siewert , C. E. , Maiorino , J. R. and Ozisik , M. N. 1980 . The use of the FN method for radiative transfer problems with reflective boundary conditions . J. Quant. Spectrosc. Radiat. Transfer , 23 : 565 – 573 .
   Web of Science ®Google Scholar
• Garcia , R. D. and Siewer , C. E. 1982 . Radiative transfer in finite inhomogeneous plane-parallel atmospheres . J. Quant. Spectrosc. Radiat. Transfer , 27 : 141 – 148 .
   Web of Science ®Google Scholar
• Kumar , S. A. , Majumdar , A. and Tien , C. L. 1990 . The differentialdiscrete-ordinate method for solutions of the equation of radiative transfer . J. Heat Transf. , 112 : 424 – 429 .
   Web of Science ®Google Scholar
• Cengal , Y. A. and Ozisik , M. N. 1984 . The use of the Galerkin method for radiation transfer in an anisotropically scattering slab with reflecting boundaries . Quant. Spectrosc. Radiat. Transfer , 32 : 225 – 233 .
   Google Scholar
• Bayazitoglu , Y. and Krause , P. 1989 . An improved profile for the solution of radiative transfer by Galerkin's method . J. Quant. Spectrosc. Radiat. Transfer , 41 : 419 – 423 .
   Google Scholar
• Razi NagriK. 1993 . Milne's problem for a non-capturing medium: accurate analytic approximations for particle density and emergent angular distribution . J. Quant. Spectrosc. Radiat. Transfer , 50 : 59 – 64 .
   Google Scholar
• Pomraning , G. C. 1989 . The Milne problem in a statistical medium . J. Quant. Spectrosc. Radiat. Transfer , 41 : 103 – 115 .
   Web of Science ®Google Scholar
• Domke , H. 1983 . Biorthogonality and radiative transfer in finite slab atmospheres . J. Quant. Spectrosc. Radiat. Transfer , 30 : 119 – 129 .
   Google Scholar
• Thynell , S. T. and Ozisik , M. N. 1986 . A new efficient method of solution to radiation transfer in absorbing, emitting, isotropically scattering, homogeneous, finite or semi-infinite, plane-parallel media . J. Quant. Spectrosc. Radiat. Transfer , 36 : 39 – 50 .
   Google Scholar
• El Wakil , S. A. , Haggag , M. H. , Machali , H. M. Tien , C. L. 1984 . Padé approximant in radiative transfer . J. Quant. Spectrosc. Radiat. Transfer , 32 : 173 – 177 .
   Google Scholar
• Ming , Q. , Hwang , C. and Shih , Y. P. 1996 . The computation of wavelet-Galerkin approximation on a bounded interval . International Journal for Numerical Methods in Engineering , 39 : 2921 – 2944 .
   Google Scholar
• Bayazitoglu , Y. and Wang , B. Y. 1998 . Wavelets in the solution of nongray radiative heat transfer equation . Journal of Heat Transfer , 120 : 133 – 139 .
   Google Scholar
• Wang , B. Y. and Bayazitoglu , Y. 1999 . Wavelets and discrete ordinates method in solving one-dimensional nongray radiation problem . International Journal of Heat and Mass Transfer , 42 : 385 – 394 .
   Google Scholar
• Razzaghi , M. and Yousefi , S. 2000 . Legendre wavelets direct method for variational problems . Mathematics and Computers in Simulation , 53 : 185 – 192 .
   Web of Science ®Google Scholar
• Razzaghi , M. and Yousefi , S. 2001 . The Legendre wavelets operational matrix of integration . International Journal of Systems Sciences , 32 : 495 – 502 .
   Web of Science ®Google Scholar
• Razzaghi , M. and Yousefi , S. 2001 . Legendre wavelets method for the solution of nonlinear problems in the calculus of variations . Mathematical and Computer Modelling , 34 : 45 – 54 .
   Google Scholar
• Razzaghi , M. and Yousefi , S. 2002 . Legendre wavelets method for constrained optimal control problems . Mathematical Methods in the Applied Sciences , 25 : 529 – 539 .
   Web of Science ®Google Scholar
• Gu , J. S. and Jiang , W. S. 1996 . The Haar wavelets operational matrix of integration . International Journal of Systems Sciences , 27 : 623 – 628 .
   Web of Science ®Google Scholar
• Dayan , A. and Tien , C. L. 1975 . Heat transfer in a gray planar medium with linear anisotropic scattering . Journal of Heat Transfer , 97 : 391 – 396 .
   Web of Science ®Google Scholar
• Menguc , M. P. and Viskanta , R. 1983 . Comparison of radiative transfer approximations for a highly forward scattering planer medium . J. Quant. Spectrosc. Radiat. Transfer , 29 : 381 – 394 .
   Web of Science ®Google Scholar