Reliable Algorithm of Homotopy Analysis Method for Solving System of Integral Equations | Zendy

Osama H. Mohammed | Zendy; Omar I. Khaleel | Zendy

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Reliable Algorithm of Homotopy Analysis Method for Solving System of Integral Equations

Author(s) -

Osama H. Mohammed,

Omar I. Khaleel

Publication year - 2013

Publication title -

journal of al-nahrain university-science

Language(s) - English

Resource type - Journals

eISSN - 2519-0881

pISSN - 1814-5922

DOI - 10.22401/jnus.16.3.35

Subject(s) - homotopy analysis method , homotopy perturbation method , mathematics , reliability (semiconductor) , convergent series , series (stratigraphy) , integral equation , homotopy , algorithm , computer science , mathematical optimization , mathematical analysis , pure mathematics , paleontology , power (physics) , physics , quantum mechanics , biology , power series

This paper presents an approximate solution for systems of Volttera integral equations of the second kind using a reliable algorithm of homotopy analysis method. The solution is calculated in the form of convergent series with easily compatible components. The approach is tested for some examples and the results demonstrate reliability and efficiency of the proposed method

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