[
Abassy, T. A. 2010. Improved Adomian decomposition method. Computers and Mathematics with Applications 59, 42–54.
]Search in Google Scholar
[
Adomian, G. 1988. A review of the decomposition method in applied mathematics. Journal of Mathematical Analysis and Applications 135, 501–544.
]Search in Google Scholar
[
Adomian, G. 1990. A review of the decomposition method and some recent results for nonlinear equations. Mathematics Computer and Modelling 13, 17–43.
]Search in Google Scholar
[
Adomian, G. and Rach, R. 1996. Modified Adomian polynomials. Mathematics and Computer Modelling 24, 39–46.
]Search in Google Scholar
[
Babolian, E. and Biazar, J. 2002. Solution of nonlinear equations by modified Adomian decomposition method. Applied Mathematics and Computation 132, 167–172.
]Search in Google Scholar
[
Bahuguna, D., Ujlayan, A., and Pandey, D. N. 2009. A comparative study of numerical methods for solving an integro-differential equation. Computers and Mathematics with Applications 57, 1485–1493.
]Search in Google Scholar
[
Bhatti, M.I. and Bracken, P. 2007. Solutions of differential equations in a Bernstein polynomial basis. Journal of Computational and Applied Mathematics 205, 272–280.
]Search in Google Scholar
[
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.
]Search in Google Scholar
[
Biazar, J., Porshokuhi, M. G., and Ghanbari, B. 2010. Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method. Computers and Mathematics with Applications 59, 622–628.
]Search in Google Scholar
[
Bildik, N. and Deniz, S. 2015. Modified Adomian decomposition method for solving Riccati differential equations. Review of the Air Force Academy 30, 21–26.
]Search in Google Scholar
[
Bohm, W., Farin, G., and Kahmann, J. 1984. A survey of curve and surface methods in cagd. Computer Aided Geometric Design 1, 1–60.
]Search in Google Scholar
[
Doan, N. 2012. Solution of the system of ordinary differential equations by combined Laplace transform Adomian decomposition method. Mathematical and Computational Applications 17, 203–211.
]Search in Google Scholar
[
Evans, D.J. and Raslan, K. R. 2004. The Adomian decomposition method for solving delay differential equation. International Journal of Computer Mathematics 00, 1–6.
]Search in Google Scholar
[
Farouki, R. T. 2012. The Bernstein polynomial basis: A centennial retrospective. Computer Aided Geometric Design 29, 379–419.
]Search in Google Scholar
[
Farouki, R. T. and Rajan, V. T. 1998. Algorithms for polynomials in Bernstein form. Computer Aided Geometric Design 5, 1–26.
]Search in Google Scholar
[
Gabet, L. 1994. The theoretical foundation of the Adomian method. Computers and Mathematics with Applications 27, 41–52.
]Search in Google Scholar
[
Ghazanfari, B. and Sepahvandzadeh, A. 2014. Adomian decomposition method for solving Bratu’s type equation. Journal of Mathematics and Computer Science 8, 236–244.
]Search in Google Scholar
[
Hashim, I. 2006. Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. Journal of Computational and Applied Mathematics 193, 658–664.
]Search in Google Scholar
[
Hosseini, M. M. 2006. Adomian decomposition method for solution of nonlinear differential algebraic equations. Applied Mathematics and Computation 181, 1737–1744.
]Search in Google Scholar
[
Khuri, S. A. 2001. A Laplace decomposition algorithm applied to a class of nonlinear differential equation. Journal of Applied Mathematics 1, 141–155.
]Search in Google Scholar
[
Kumar, S., Kumar, D., Abbasbandy, S., and Rashidi, M. M. 2014. Analytic solution of fractional Navier-Stokes equation by using modified Laplace decomposition method. Ain Shams Engineering Journal 5, 569–574.
]Search in Google Scholar
[
Li, C. and Wang, Y. 2009. Numerical algorithm based on Adomian decomposition for fractional differential equations. Computers and Mathematics with Applications 57, 1672–1681.
]Search in Google Scholar
[
Liu, Y. 2009. Adomian decomposition method with orthogonal polynomials:Legendre polynomials. Mathematical and Computer Modelling 49, 1268–1273.
]Search in Google Scholar
[
Luo, X.-G., Wu, Q.-B., and Zhang, B.-Q. 2006. Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations. Journal of Mathematical Analyis and Applications 321, 353–363.
]Search in Google Scholar
[
Maleknejad, K., Hashemizadeh, E., and Ezzati, R. 2011. A new approach to the numerical solution of Volterra integral equations by using Bernsteins approximation. Communication in Nonlinear Science and Numerical Simulation 16, 647–655.
]Search in Google Scholar
[
Maleknejad, K. and Najafi, E. 2011. Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization. Communication in Nonlinear Science and Numerical Simulation 20, 93–100.
]Search in Google Scholar
[
Manafianheris, J. 2012. Solving the integro-differential equations using the modified Laplace Adomian decomposition method. Journal of Mathematical Extension 6, 41–55.
]Search in Google Scholar
[
Marwat, D. N. K. and Asghar, S. 2008. Solution of the heat equation with variable properties by two-step Adomian decomposition method. Mathematical and Computer Modelling 48, 83–90.
]Search in Google Scholar
[
Quain, W., Riedel, M. D., and Rosenberg, I. 2011. Uniform approximation and Bernstein polynomial with coefficients in the unit interval. European Journal of Combinatorics 32, 448–463.
]Search in Google Scholar
[
Singh, N. and Kumar, M. 2011. Adomian decomposition method for solving higher order boundary value problems. Mathematical Theory and Modeling 2, 11–22.
]Search in Google Scholar
[
Somali, S. and Gokmen, G. 2007. Adomian decomposition method for nonlinear Sturm-Liouville problems. Surveys in Mathematics and its Applications 2, 11–20.
]Search in Google Scholar
[
Venkatarangan, S. N. and Rajalakshmi, K. 1995. Modification of Adomian’s decomposition method to solve equations containing radicals. Computers and Mathematics with Applications 29, 75–80.
]Search in Google Scholar
[
Wazwaz, A. M. 2010. The combined Laplace transform-Adomian demcomposition method for handling nonlinear Volterra integro-differential equations. Applied Mathematics and Computation 216, 1304–1309.
]Search in Google Scholar
[
Wazwaz, A. M. 2011. Linear and Nonlinear Integral Equations: Methods and Applications. Springer.
]Search in Google Scholar
[
Yousefi, S. A. and Behroozifar, M. 2010. Operational matrices of Bernstein polynomials and their applications. International Journal of System Science 41, 709–716.
]Search in Google Scholar
[
Zhang, B. and Lu, J. 2011. Exact solutions of homogenous partial differential equations by a new Adomian decomposition method. Procedia Environmental Science 11, 440–446.
]Search in Google Scholar
[
Rani, D. and Mishra, V. 2017. Approximate solution of boundary value problem with Bernstein polynomial Laplace decomposition method. International Journal of Pure and Applied Mathematics 114, 823–833.
]Search in Google Scholar