Restarted Adomian Decomposition Method for Solving Volterra’s Population Model - American Journal of Computational Mathematics

AJCM > Vol.7 No.2, June 2017

American Journal of Computational Mathematics

Volume 7, Issue 2 (June 2017)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

Restarted Adomian Decomposition Method for Solving Volterra’s Population Model ()

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DOI: 10.4236/ajcm.2017.72016 1,283 Downloads 2,162 Views Citations

Author(s)

Mariam Al-Mazmumy¹, Safa Otyuan Almuhalbedi²

Affiliation(s)

¹Department of Mathematics, Faculty of Science-AL Faisaliah, King Abdulaziz University, Jeddah, KSA.
²Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSA.

ABSTRACT

In this paper, we used an efficient algorithm to obtain an analytic approximation for Volterra’s model for population growth of a species within a closed system, called the Restarted Adomian decomposition method (RADM) to solve the model. The numerical results illustrate that RADM has the good accuracy.

KEYWORDS

Adomian Decomposition Method, Restarted Adomian Method, Integro-Differential Equations, Volterra’s Population Model

Share and Cite:

Al-Mazmumy, M. and Almuhalbedi, S.O. (2017) Restarted Adomian Decomposition Method for Solving Volterra’s Population Model. American Journal of Computational Mathematics, 7, 175-182. doi: 10.4236/ajcm.2017.72016.

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