Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind

Joint Authors

Montazeri, Roya
Biazar, Jafar

Source

Journal of Applied Mathematics

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-01-03

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

In this paper, optimal homotopy asymptotic method (OHAM) and its implementation on subinterval, called multistage optimal homotopy asymptotic method (MOHAM), are presented for solving linear and nonlinear systems of Volterra integral equations of the second kind.

To illustrate these approaches two examples are presented.

The results confirm the efficiency and ability of these methods for such equations.

The results will be compared to find out which method is more accurate.

Advantages of applying MOHAM are also illustrated.

American Psychological Association (APA)

Biazar, Jafar& Montazeri, Roya. 2019. Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1168869

Modern Language Association (MLA)

Biazar, Jafar& Montazeri, Roya. Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1168869

American Medical Association (AMA)

Biazar, Jafar& Montazeri, Roya. Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1168869

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1168869