The Adomian Decomposition Method with Discretization for Second Order Initial Value Problems

Dagnachew Mengstie Tefera, Awoke Andargie

Abstract


In this paper, Adomian Decomposition Method with Discretization (ADMD) is applied to solve both linear and nonlinear initial value problems (IVP). Comparison with Adomian Decomposition Method (ADM) is presented. To illustrate the efficiency and accuracy of the method, five examples are considered. The result shows that ADMD is more efficient and accurate than ADM.

Keywords


decomposition method; Adomian polynomial; initial value problem; infinite series

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v5i2.5148

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.