Using Multistage Laplace Adomian Decomposition Method to Solve Chaotic Financial System

Ebenezer, Bonyah and Kolebaje, O. and Awuah-Werekoh, Kwasi (2016) Using Multistage Laplace Adomian Decomposition Method to Solve Chaotic Financial System. British Journal of Mathematics & Computer Science, 13 (4). pp. 1-14. ISSN 22310851

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Abstract

In this paper, a new reliable algorithm, multistage Laplace Adomian decomposition method (MLADM) based on standard Laplace – Adomian method, is presented to solve a time- fractional financial model for both chaotic and non- chaotic. The new algorithm is just a simple modification of Laplace- Adomian method (LAM). This method is considered as an algorithm in a sequence of small intervals for obtaining accurate approximate solutions. The study depicts that the LADM provides reliable results for t ˂˂ 1. Numerical comparisons between the MLADM and the classical Runge- Kutta fourth order method (RK4) in the case of integer-order derivatives solutions indicates that the MLADM gives better output with high accuracy and is a promising technique for nonlinear systems of integer and fractional order.

Item Type: Article
Subjects: Middle Asian Archive > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 29 May 2023 06:36
Last Modified: 07 Aug 2025 03:44
URI: http://peerreview.go2articles.com/id/eprint/656

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