References
- Adomian , G. 1983 . Stochastic Systems , New York : Academic Press .
- Adomian , G. 1988 . A review of the decomposition method in applied mathematics . Journal of Mathematical Analysis and Applications , 135 : 501 – 544 .
- Adomian , G. 1994 . Solving Frontier Problems of Physics: The Decomposition Method , Dordrecht : Kluwer .
- Lesnic , D. 2002 . The Cauchy problem for the wave equation using the decomposition method . Applied Mathematics Letters , 15 : 697 – 701 .
- Lesnic , D. 2005 . The decomposition method for Cauchy advection–diffusion problems . Computers and Mathematics with Applications , 49 : 525 – 537 .
- Pamuk , S. 2005 . An application for linear and nonlinear heat equations by Adomian's decomposition method . Applied Mathematics and Computation , 163 : 89 – 96 .
- Soufyane , A. and Boulmalf , M. 2005 . Solution of linear and nonlinear parabolic equations by the decomposition method . Applied Mathematics and Computation , 162 : 687 – 693 .
- Wazwaz , A.-M. 2001 . Exact solutions to nonlinear diffusion equations obtained by the decomposition method . Applied Mathematics and Computation , 123 : 109 – 122 .
- Wazwaz , A.-M. 2001 . Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions . Applied Mathematics and Computation , 123 : 133 – 140 .
- Wazwaz , A.-M. and Gorguis , A. 2004 . Exact solutions for heat-like and wave-like equations with variable coefficients . Applied Mathematics and Computation , 149 : 15 – 29 .
- Guellal , S. and Cherruault , Y. 1995 . Application of the decomposition method to identify the distributed parameters of an elliptical equation . Mathematical and Computer Modelling , 21 : 51 – 55 .
- Lesnic , D. and Elliott , L. 1999 . The decomposition approach to inverse heat conduction . Journal of Mathematical Analysis and Applications , 232 : 82 – 98 .
- Evans , D. J. and Bulut , H. 2002 . A new approach to the gas dynamics equation: an application of the decomposition method . International Journal of Computer Mathematics , 79 : 817 – 822 .
- Inc , M. and Evans , D. J. 2005 . Decomposition method for nonlinear isothermal magnetostatic atmospheres . International Journal of Computer Mathematics , 82 : 559 – 572 .
- Chang , M.-H. 2005 . A decomposition solution for fins with temperature dependent surface heat flux . International Journal of Heat and Mass Transfer , 48 : 1819 – 1824 .
- Grzymkowski , R. and Słota , D. 2005 . Stefan problem solved by Adomian decomposition method . International Journal of Computer Mathematics , 82 : 851 – 856 .
- Grzymkowski , R. and Słota , D. 2006 . One-phase inverse Stefan problem solved by Adomian decomposition method . Computers and Mathematics with Applications , 51 : 33 – 40 .
- Gautschi , W. 1997 . Numerical Analysis. An Introduction , Boston : Birkhäuser .
- Kincaid , D. and Cheney , W. 1996 . Numerical Analysis. Mathematics of Scientific Computing , Pacific Grove : Broks/Cole .
- Grzymkowski , R. , Pleszczyński , M. and Słota , D. 2005 . Numerical Heat Transfer 2005, EUROTHERM Seminar 82 , Edited by: Nowak , A. J. , Białecki , R. A. and We¸ , G. Gliwice-Cracow : ITT Silesian University of Technology .
- Shawagfeh , N. and Kaya , D. 2004 . Comparing numerical methods for the solutions of systems of ordinary differential equations . Applied Mathematics Letters , 17 : 323—328
- Guellal , S. , Grimalt , P. and Cherruault , Y. 1997 . Numerical study of Lorenz's equation by the Adomian method . Computers and Mathematics with Applications , 33 : 25 – 29 .
- Biazar , J. , Babolian , E. and Islam , R. 2004 . Solution of the system of ordinary differential equations by Adomian decomposition method . Applied Mathematics and Computation , 147 : 713 – 719 .
- Abbaoui , K. , Cherruault , Y. and Seng , V. 1995 . Practical formulae for the calculus of multivariable Adomian's polynomials . Mathematical and Computer Modelling , 22 : 89 – 93 .
- Biazar , J. , Babolian , E. , Kember , G. , Nouri , A. and Islam , R. 2003 . An alternate algorithm for computing Adomian polynomials in special cases . Applied Mathematics and Computation , 138 : 523 – 529 .
- Wolfram , S. 2003 . The Mathematica Book, , 5th ed. , Champaign : Wolfram Media .