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Approximate-analytic solution of hyperchaotic finance system by multistage approach

This paper devotes to constructing an approximate analytic solution for the hyperchaotic finance model. The model describes the time variation of the interest rate, the investment demand, the price exponent, and the average profit margin. The multistage homotopy analysis method (MHAM) and multistage...

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Main Authors: Rangkuti, Y.M., Alomari, A.K., Anakira, N.R., A.F. Jameel,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2022
Online Access:http://journalarticle.ukm.my/19762/1/25.pdf
http://journalarticle.ukm.my/19762/
https://www.ukm.my/jsm/malay_journals/jilid51bil6_2022/KandunganJilid51Bil6_2022.html
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spelling my-ukm.journal.197622022-09-19T07:09:50Z http://journalarticle.ukm.my/19762/ Approximate-analytic solution of hyperchaotic finance system by multistage approach Rangkuti, Y.M. Alomari, A.K. Anakira, N.R. A.F. Jameel, This paper devotes to constructing an approximate analytic solution for the hyperchaotic finance model. The model describes the time variation of the interest rate, the investment demand, the price exponent, and the average profit margin. The multistage homotopy analysis method (MHAM) and multistage variational iteration method (MVIM) are utilized to generate the analytical solutions. The solutions are presented in terms of continuous piecewise functions without interpolation. These procedures prove their applicability for this kind of model due to rapidly convergent series solutions with easily computable terms, iterates, and efficiently obtained by applying it over multiple time intervals. We also provide the convergences theorem of the MHAM. Numerical comparisons are displayed with the results obtained by MHAM, MVIM, and the fourth-order Runge-Kutta method to demonstrate the validity and effectivity of this procedure. Penerbit Universiti Kebangsaan Malaysia 2022-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/19762/1/25.pdf Rangkuti, Y.M. and Alomari, A.K. and Anakira, N.R. and A.F. Jameel, (2022) Approximate-analytic solution of hyperchaotic finance system by multistage approach. Sains Malaysiana, 51 (6). pp. 1905-1914. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid51bil6_2022/KandunganJilid51Bil6_2022.html
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description This paper devotes to constructing an approximate analytic solution for the hyperchaotic finance model. The model describes the time variation of the interest rate, the investment demand, the price exponent, and the average profit margin. The multistage homotopy analysis method (MHAM) and multistage variational iteration method (MVIM) are utilized to generate the analytical solutions. The solutions are presented in terms of continuous piecewise functions without interpolation. These procedures prove their applicability for this kind of model due to rapidly convergent series solutions with easily computable terms, iterates, and efficiently obtained by applying it over multiple time intervals. We also provide the convergences theorem of the MHAM. Numerical comparisons are displayed with the results obtained by MHAM, MVIM, and the fourth-order Runge-Kutta method to demonstrate the validity and effectivity of this procedure.
format Article
author Rangkuti, Y.M.
Alomari, A.K.
Anakira, N.R.
A.F. Jameel,
spellingShingle Rangkuti, Y.M.
Alomari, A.K.
Anakira, N.R.
A.F. Jameel,
Approximate-analytic solution of hyperchaotic finance system by multistage approach
author_facet Rangkuti, Y.M.
Alomari, A.K.
Anakira, N.R.
A.F. Jameel,
author_sort Rangkuti, Y.M.
title Approximate-analytic solution of hyperchaotic finance system by multistage approach
title_short Approximate-analytic solution of hyperchaotic finance system by multistage approach
title_full Approximate-analytic solution of hyperchaotic finance system by multistage approach
title_fullStr Approximate-analytic solution of hyperchaotic finance system by multistage approach
title_full_unstemmed Approximate-analytic solution of hyperchaotic finance system by multistage approach
title_sort approximate-analytic solution of hyperchaotic finance system by multistage approach
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2022
url http://journalarticle.ukm.my/19762/1/25.pdf
http://journalarticle.ukm.my/19762/
https://www.ukm.my/jsm/malay_journals/jilid51bil6_2022/KandunganJilid51Bil6_2022.html
_version_ 1744649876913782784
score 13.211869

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