References
- Abbaoui , K. and Cherruault , Y. 1995 . New ideas for proving convergence of decomposition methods . Comput. Math. Appl. , 29 : 103 – 108 .
- Adomian , G. , Rach , R. and Shawagfeh , N. T. 1995 . On the analysis solution of Lane–Emden equation . Found. Phys. Lett , 8 ( 2 ) : 161
- Bratsos , A. G. , Famelis , I. T.H. and Papadopoulos , D. P. 2004 . On the solution of the BOUSSINESQ equation using the Adomian decomposition method , Lecture Series on Computer and Computational Sciences Vol. 1 , 406 – 409 .
- Bratsos , A. G. , Papadopoulos , D. P. and Skokos , C. H. Proceedings of the 17th IMACS Word Congress on Scientific Computation, Applied Mathematics and Simulation . July 11–15 , Paris, France. A numerical solution of the BOUSSINESQ equation using the Adomian decomposition method , Paper T2-I-21-0178
- Cherruault , Y. , Adomain , G. , Abbaovi , K. and Rach , R. 1995 . Further remarks on convergence of decomposition method . BioMed. Comput. , 38 : 89 – 93 .
- Hosseini , M. M. 2006 . Adomian decomposition method with Chebyshev polynomials . Appl. Math. Comput. , 175 : 1685 – 1693 .
- Hosseini , M. M. 2006 . Adomian decomposition method for solution of differential-algebraic equations . J. Comput. Appl. Math. , 197 : 495 – 501 .
- Hosseini , M. M. 2006 . Adomian decomposition method for solution of nonlinear differentialalgebraic equations . Appl. Math. Comput. , 181 : 1737 – 1744 .
- Hosseini , M. M. 2006 . On the convergence of Adomian decomposition method . Appl. Math. Comput. , 182 : 536 – 543 .
- Hosseini , M. M. 2007 . Modified Adomian decomposition method for specific second order ordinary differential equations . Appl. Math. Comput. , 186 : 117 – 123 .
- Lesnic , D. 2002 . Convergence of Adomian decomposition method: preiodic temperatures . Computers Math. Appl. , 44 : 13 – 24 .
- Seng , V. , Abbaoui , K. and Cherruault , Y. 1996 . Adomian's polynomials for nonlinear operators . Math. Comput. Model. , 24 : 59 – 65 .
- Wazwaz , A. M. 1999 . A reliable modification of Adomian decomposition method . Appl. Math. Comput. , 102 : 77 – 86 .
- Wazwaz , A. M. 2000 . A new algorithm for calculating Adomian polynomials for nonlinear operators . Appl. Math. Comput. , 111 : 53 – 69 .
- Wazwaz , A. M. 2002 . A new method for solving singular initial value problems in the second-order ordinary differential equations . Appl. Math. Comput. , 128 : 45 – 57 .
- Wazwaz , A. M. 2003 . The existance of noise terms for systems of inhomogeneous decomposition integral equations . Appl. Math. Comput. , 146 : 81 – 92 .
- Wazwaz , A. M. 2005 . Adomian decomposition for a reliable treatment of the Emden-Fowler equation . Appl. Math. Comput. , 161 : 543 – 560 .
- Wazwaz , A. M. and El-Sayed , S. M. 2001 . A new modification of the Adomian decomposition method for linear and nonlinear operators . Appl. Math. Comput. , 122 : 393 – 405 .