Adomian,G.,(1988), A review of the decomposition method in applied mathematics, J. Math. Anal.Appl., 135, pp. 501-544.
Babolian,E., Biazar,J. and Islam,R., (2004), Solution of the system of ordinary differential equations by Adomian decomposition method, Appl. Math. Comput., 147, pp. 713-719.
Bildik,N. and Bayramoglu,H., (2005), The solution of two dimensional nonlinear differential equation by the Adomian decomposition method, Applied Mathematics and Computation, 163, pp. 519-524
Bougoffa,L., Mennouni,A. and Rach,R.C., (2013), Solving couchy integral equations of the first kind by the adomian decomposition method, Applied Mathematics and Computation, 219, pp. 4423-4433. [5] Bougoffa,L., Rach,R.C. and Mennouni,A., (2011), A convenient technigue for solving linear and non linear Abel integral equations by the Adomian decomposition method, Applied Mathematics and Computation, 218, pp. 1785-1793
Abdou,M.A., (2011), Solitary Solutions of Nonlinear Differential-difference Equations via Adomain Decomposition Method, International Journal of Nonlinear Science, 12(1), pp. 29-35
Momani,S. and Al-Khaled,K., (2005), Numerical solutions for systems of fractional differential equa- tions by the decomposition method, Applied Mathematics and Computation, 162, pp. 1351-1365
Parthiban,V. and Balachandran,K., (2013), Solutions of system of Fractional Partial Differential Equa- tions, Applications and Applied Mathematics, 8(1), pp. 289-304
Daftardar-Gejji,V. and Jafari,H., (2005), Adomian decomposition: a tool for solving a system of fractional differential equations, Journal of Mathematical Analysis and Applications 301(2) pp. 508- 518
Wazwaz,A.M., El Sayed,S.M., (2001), A new modification of the Adomian decomposition method for linear and nonlinear operators , Applied Mathematics and Computation, 122, pp. 393-405
Almazmumy,M., Hendi,F.A., Bakodah,H.O. and Alzumi,H., (2012), Recent Modifications of Ado- mian Decomposition Method for Initial Value Problem in Ordinary Differential Equations, American Journal of Computational Mathematics, 2, pp. 228-234
Rach,R., Adomian,G. and Meyers,R.E., (1992), A Modified Decomposition, Computers & Mathemat- ics with Applications, 23(1), pp. 17-23.
Wazwaz,A.M., (1999), A Reliable Modification of Adomian Decomposition Method, Applied Mathe- matics Computation, 102(1), pp. 77-86.
Luo,X.G., (2005), A Two-Step Adomian Decomposition Method, Applied Mathematics and Compu- tation, 170(1), pp. 570-583
Babolian,E. and Javadi,S., (2003), Restarted Adomian Method or Algebraic Equations, Applied Math- ematics and Computation, 146(2-3), pp. 533-541.
Babolian,E., Javadi,S. and Hosseini,S.G., (2004), Restarted Adomian Method for Integral Equations, Applied Mathematics and Computation, 153 (2), pp. 353-359.
Sinan,D. and Nejdet,B., (2014), Comparison of Adomian decomposition method and Taylor matrix method in solving different kinds of partial differential equations, International Journal of Modelling and Optimization, 4(4), pp. 292-298, .
Nejdet,B. and Sinan,D., (2015), Implementation of Taylor Collocation and Adomian Decomposition Method for Systems of Ordinary Differential Equations , 12th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), 1648, AIP Publishing
Wazwaz,A.M., (2001), The modified decomposition method applied to unsteady flow of gas through a porous medium, Applied Mathematics and Computation, 118 (2-3) pp. 123-132
Hosseini,S.G., Babolian,E. and Abbasbandy,S., (2016) A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method, International Journal of Industrial Mathematics 8(3), pp. 177-184.
Year 2017,
Volume: 7 Issue: 1, 66 - 73, 01.06.2017
Adomian,G.,(1988), A review of the decomposition method in applied mathematics, J. Math. Anal.Appl., 135, pp. 501-544.
Babolian,E., Biazar,J. and Islam,R., (2004), Solution of the system of ordinary differential equations by Adomian decomposition method, Appl. Math. Comput., 147, pp. 713-719.
Bildik,N. and Bayramoglu,H., (2005), The solution of two dimensional nonlinear differential equation by the Adomian decomposition method, Applied Mathematics and Computation, 163, pp. 519-524
Bougoffa,L., Mennouni,A. and Rach,R.C., (2013), Solving couchy integral equations of the first kind by the adomian decomposition method, Applied Mathematics and Computation, 219, pp. 4423-4433. [5] Bougoffa,L., Rach,R.C. and Mennouni,A., (2011), A convenient technigue for solving linear and non linear Abel integral equations by the Adomian decomposition method, Applied Mathematics and Computation, 218, pp. 1785-1793
Abdou,M.A., (2011), Solitary Solutions of Nonlinear Differential-difference Equations via Adomain Decomposition Method, International Journal of Nonlinear Science, 12(1), pp. 29-35
Momani,S. and Al-Khaled,K., (2005), Numerical solutions for systems of fractional differential equa- tions by the decomposition method, Applied Mathematics and Computation, 162, pp. 1351-1365
Parthiban,V. and Balachandran,K., (2013), Solutions of system of Fractional Partial Differential Equa- tions, Applications and Applied Mathematics, 8(1), pp. 289-304
Daftardar-Gejji,V. and Jafari,H., (2005), Adomian decomposition: a tool for solving a system of fractional differential equations, Journal of Mathematical Analysis and Applications 301(2) pp. 508- 518
Wazwaz,A.M., El Sayed,S.M., (2001), A new modification of the Adomian decomposition method for linear and nonlinear operators , Applied Mathematics and Computation, 122, pp. 393-405
Almazmumy,M., Hendi,F.A., Bakodah,H.O. and Alzumi,H., (2012), Recent Modifications of Ado- mian Decomposition Method for Initial Value Problem in Ordinary Differential Equations, American Journal of Computational Mathematics, 2, pp. 228-234
Rach,R., Adomian,G. and Meyers,R.E., (1992), A Modified Decomposition, Computers & Mathemat- ics with Applications, 23(1), pp. 17-23.
Wazwaz,A.M., (1999), A Reliable Modification of Adomian Decomposition Method, Applied Mathe- matics Computation, 102(1), pp. 77-86.
Luo,X.G., (2005), A Two-Step Adomian Decomposition Method, Applied Mathematics and Compu- tation, 170(1), pp. 570-583
Babolian,E. and Javadi,S., (2003), Restarted Adomian Method or Algebraic Equations, Applied Math- ematics and Computation, 146(2-3), pp. 533-541.
Babolian,E., Javadi,S. and Hosseini,S.G., (2004), Restarted Adomian Method for Integral Equations, Applied Mathematics and Computation, 153 (2), pp. 353-359.
Sinan,D. and Nejdet,B., (2014), Comparison of Adomian decomposition method and Taylor matrix method in solving different kinds of partial differential equations, International Journal of Modelling and Optimization, 4(4), pp. 292-298, .
Nejdet,B. and Sinan,D., (2015), Implementation of Taylor Collocation and Adomian Decomposition Method for Systems of Ordinary Differential Equations , 12th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), 1648, AIP Publishing
Wazwaz,A.M., (2001), The modified decomposition method applied to unsteady flow of gas through a porous medium, Applied Mathematics and Computation, 118 (2-3) pp. 123-132
Hosseini,S.G., Babolian,E. and Abbasbandy,S., (2016) A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method, International Journal of Industrial Mathematics 8(3), pp. 177-184.