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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.
Radoslaw Grzymkowski, Damian Slota
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Accelerating the convergence of Adomian decomposition method (ADM)
Journal of Computational Science, 2019Abstract A successful and easy to use modification of the classical Adomian decomposition method (ADM) was implemented by Duan and Rach [1] by simply adding a predetermined parameter into the ADM formulation. We provide a mathematical rigor in this paper to approve that the formulation of Duan and Rach indeed improves the classical Adomian method ...
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Adomian's Decomposition Method
2017In this chapter, we apply Adomian's Decomposition Method to find appropriate solutions of heat and mass transfer in the two-dimensional and axisymmetric unsteady flow between parallel plates and squeezing flow and heat transfer between two parallel disks with velocity slip, temperature jump which are of utmost importance in applied and engineering ...
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Solution of the epidemic model by Adomian decomposition method
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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New applications of Adomian decomposition method
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Wakil, S. A., Abdou, M. A.
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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.
Esmail Babolian, Jafar Biazar
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Adomian decomposition method by Legendre polynomials
Chaos, Solitons & Fractals, 2009Abstract In this paper, an efficient modification of the Adomian decomposition method by using Legendre polynomials is presented. Both linear and non-linear models are suited for the proposed method. Some examples here in are solved by using this method and this paper will demonstrate that the results are more reliable and efficient.
Wei-Chung Tien, Cha’o-Kuang Chen
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A note on the Adomian decomposition method for the generalized Huxley equation
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishak Hashim +2 more
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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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