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Solution of wave equation by Adomian decomposition method and the restrictions of the method
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafar Biazar, Rafiqul Islam 0003
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The Adomian decomposition method for solving delay differential equation
International Journal of Computer Mathematics, 2005A numerical method based on the Adomian decomposition method which has been developed by Adomian [Adomian, G. (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston, MA] is introduced in this paper for the approximate solution of delay differential equations.
David J. Evans 0001, Kamal R. Raslan
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Derivation of the Adomian decomposition method using the homotopy analysis method
Applied Mathematics and Computation, 2007The solution of a nonlinear equation \( L(y(x)) + N(y(x)) = 0 \), where \(L\) and \(N\) are linear and nonlinear operators, respectively, is represented in the form \[ y =\sum_{n=0}^{\infty} y_{n} . \] The terms \(y_{n}\) can be calculated by recurrent relations using the decomposition \[ N(y)=\sum_{n=0}^{\infty} A_{n}, \] where \(A_{n}\) are the ...
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A new modification of the Adomian decomposition method for linear and nonlinear operators
Applied Mathematics and Computation, 2001Abdul-Majid Wazwaz, Salah M El-Sayed
exaly
A new improved Adomian decomposition method and its application to fractional differential equations
Applied Mathematical Modelling, 2013Lina Song
exaly