New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator

Teng, Toh Yoke and Phang, Chang and Rong, Loh Jian (2018) New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator. Mathematical Methods in the Applied Sciences, 42 (1). pp. 175-185. ISSN 1099-1476

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Abstract

In this paper, we develop a new, simple, and accurate scheme to obtain approximate solution for nonlinear differential equation in the sense of Caputo-Fabrizio operator. To derive this new predictor-corrector scheme, which suits on Caputo-Fabrizio operator, firstly, we obtain the corresponding initial value problem for the differential equation in the Caputo-Fabrizio sense. Hence, by fractional Euler method and fractional trapeziodal rule, we obtain the predictor formula as well as corrector formula. Error analysis for this new method is derived. To test the validity and simplicity of this method, some illustrative examples for nonlinear differential equations are solved.

Item Type:	Article
Uncontrolled Keywords:	Adams-Bashforth-Moulton method; Caputo fractional derivative; Caputo-Fabrizio operator; nonlinear differential equation; predictor-corrector scheme
Subjects:	T Technology > T Technology (General) > T55.4-60.8 Industrial engineering. Management engineering > T57-57.97 Applied mathematics. Quantitative methods
Divisions:	Faculty of Civil Engineering and Built Environment > Department of Civil Engineering : Infrastructure and Geomatic Engineering
Depositing User:	UiTM Student Praktikal
Date Deposited:	24 Jan 2022 07:59
Last Modified:	24 Jan 2022 07:59
URI:	http://eprints.uthm.edu.my/id/eprint/5899

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