Analysis of the Nonlinear Singular Systems using Adomian Decomposition Method

S. Sekar; M. Nalini

doi:https://doi.org/10.14445/22315373/IJMTT-V25P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 25 | Number 1 | Year 2015 | Article Id. IJMTT-V25P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V25P501

Analysis of the Nonlinear Singular Systems using Adomian Decomposition Method

S. Sekar, M. Nalini

Abstract

The Adomian Decomposition Method (ADM) is used to analysis the nonlinear singular systems of time-invariant and time-varying cases [14]. The obtained discrete solutions using ADM and Single-term Haar wavelet series (STHW) are compared with the exact solutions of the nonlinear singular systems of time-invariant and time-varying cases. It is found that the solution obtained using ADM is closer to the exact solutions of the nonlinear singular systems of time-invariant and time-varying cases. Error graphs for discrete and exact solutions are presented in a graphical form to highlight the efficiency of this method. This ADM can be easily implemented in a digital computer and the solution can be obtained for any length of time.

Keywords

Nonlinear singular systems of timeinvariant and time-varying cases, Singular systems, Adomian Decomposition Method, Single-term Haar wavelet series.

References

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Citation :

S. Sekar, M. Nalini, "Analysis of the Nonlinear Singular Systems using Adomian Decomposition Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 25, no. 1, pp. 1-4, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V25P501