Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. (October 2020)

• Record Type: Journal Article
• Authors: Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J.F.; Baleanu, Dumitru; Osman, M.S.
• Is Part Of: Chaos, solitons and fractals. Volume 139(2020)
• Publication Date: 2020-10
• Subjects: DNA model -- Hyperbolic ansatz method -- Exponential ansatz method -- Finite difference method; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110089
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA dynamic model equation. This model is studied analytically by hyperbolic and exponential ansatz methods and numerically by finite difference method. A comparison between the results obtained by the analytical methods and the numerical method is investigated. Furthermore, some figures are introduced to show how accurate the solutions will be obtained from the analytical and numerical methods.