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Adomian Decomposition Method (ADM)
2019The Adomian decomposition method (ADM) is a method for the solution of both linear and nonlinear differential equations and BVPs seen in different fields of science and engineering. However, the implementation of this method mainly depends upon the calculation of Adomian polynomials for nonlinear operators.
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A two-step Adomian decomposition method
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stefan problem solved by Adomian decomposition method
International Journal of Computer Mathematics, 2005The solution of the one-phase Stefan problem is presented. This problem consists of finding the distribution of temperature in the domain and the position of the moving interface (freezing front). The proposed solution is based on the Adomian decomposition method and optimalization.
Radosław Grzymkowski, Damian Słota
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Solution of nonlinear equations by modified adomian decomposition method
Applied Mathematics and Computation, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babolian, E., Biazar, J.
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Parametrized Adomian Decomposition Method with Optimum Convergence
ACM Transactions on Modeling and Computer Simulation, 2017The classical Adomian decomposition method frequently used to solve linear and nonlinear algebraic or integro-differential equations of ordinary and partial type is revisited. Rewriting the technique in an elegant form, a parameter so-called as the convergence control parameter, is embedded into the method to control the convergence and the rate of ...
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Remark on modifications of Adomian decomposition method
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A new improved Adomian decomposition method and its application to fractional differential equations
Applied Mathematical Modelling, 2013Lina Song
exaly
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

