A novel approach for the solution of a class of singular boundary value problems arising in physiology
Tài liệu tham khảo
Lin, 1976, Oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics, J. Theor. Biol., 60, 449, 10.1016/0022-5193(76)90071-0
McElwain, 1978, A re-examination of oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics, J. Theor. Biol., 71, 255, 10.1016/0022-5193(78)90270-9
Flesch, 1975, The distribution of heat sources in the human head: a theoretical consideration, Journal of Theor. Biol., 54, 285, 10.1016/S0022-5193(75)80131-7
Garner, 1990, Diffusion problems with mixed nonlinear boundary condition, Journal of Math. Anal. Appl., 148, 422, 10.1016/0022-247X(90)90010-D
Ravi Kanth, 2006, Cubic spline for a class of non-linear singular boundary value problems arising in physiology, Appl. Math. Comput., 174, 768, 10.1016/j.amc.2005.05.022
Pandey, 2004, On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology, J. Comput. Appl. Math., 166, 553, 10.1016/j.cam.2003.09.053
Caglar, 2009, B-spline solution of non-linear singular boundary value problems arising in physiology, Chaos Solitons Fractals, 39, 1232, 10.1016/j.chaos.2007.06.007
Asaithambi, 1989, Pointwise solution bounds for a class of singular diffusion problems in physiology, Appl. Math. Comput., 30, 215, 10.1016/0096-3003(89)90053-2
Gustaffsson, 1973, A numerical method for solving singular boundary value problems, Numer. Math., 21, 328, 10.1007/BF01436387
Ravi Kanth, 2003, The method of inner boundary condition for singular boundary value problems, Appl. Math. Comput., 139, 429, 10.1016/S0096-3003(02)00209-6
Ravi Kanth, 2003, A numerical method for singular two point boundary value problems via Chebyshev economizition, Appl. Math. Comput., 146, 691, 10.1016/S0096-3003(02)00613-6
Hiltmann, 1983, On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics, Bull. Math. Biol., 45, 661, 10.1007/BF02460043
Adomian, 1994
Deeba, 1999, Nonlinear equations, vol. 14, 562
Deeba, 1996, A decomposition method for solving the nonlinear Klein-Gordon equation, J. Comput. Phys., 124, 442, 10.1006/jcph.1996.0071
Khuri, 2004, A new approach to Bratu’s problem, Appl. Math. Comput., 147, 131, 10.1016/S0096-3003(02)00656-2
Khuri, 2003, A numerical algorithm for solving the Troesch’s problem, Int. J. Comput. Math., 80, 493, 10.1080/0020716022000009228
Khuri, 2002, On the solution of coupled H-like equations of Chandrasekhar, Appl. Math. Comput., 133, 479, 10.1016/S0096-3003(01)00251-X
Khuri, 2001, An alternative solution algorithm for the nonlinear generalized Emden-Fowler equation, Int. J. Nonlinear Sci. Numeri. Simul., 2, 299
Khuri, 2001, On the decomposition method for the approximate solution of nonlinear ordinary differential equations, Int. J. Math. Ed. Science Tech., 32, 525, 10.1080/00207390110038286
Khuri, 2001, A Laplace decomposition algorithm applied to a class of nonlinear differential equations, J. Appl. Math., 1, 141, 10.1155/S1110757X01000183