Analytical Solution of System of Volterra Integral Equations Using OHAM
Joint Authors
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
Akbar, Muhammad
Ahsan, Sumbal
Nawaz, Rashid
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM).
The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM).
The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs.
The presented technique uses auxiliary function containing auxiliary constants, which control the convergence.
Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter.
American Psychological Association (APA)
Akbar, Muhammad& Nawaz, Rashid& Ahsan, Sumbal& Baleanu, Dumitru& Nisar, Kottakkaran Sooppy. 2020. Analytical Solution of System of Volterra Integral Equations Using OHAM. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188239
Modern Language Association (MLA)
Akbar, Muhammad…[et al.]. Analytical Solution of System of Volterra Integral Equations Using OHAM. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188239
American Medical Association (AMA)
Akbar, Muhammad& Nawaz, Rashid& Ahsan, Sumbal& Baleanu, Dumitru& Nisar, Kottakkaran Sooppy. Analytical Solution of System of Volterra Integral Equations Using OHAM. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188239
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188239