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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://journalarticle.ukm.my/19762/ http://journalarticle.ukm.my/19762/1/25.pdf |
| _version_ | 1848814925013581824 |
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| author | Rangkuti, Y.M. Alomari, A.K. Anakira, N.R. A.F. Jameel, |
| author_facet | Rangkuti, Y.M. Alomari, A.K. Anakira, N.R. A.F. Jameel, |
| author_sort | Rangkuti, Y.M. |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T00:41:49Z |
| format | Article |
| id | oai:generic.eprints.org:19762 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:41:49Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | Rangkuti, Y.M. Alomari, A.K. Anakira, N.R. A.F. Jameel, Approximate-analytic solution of hyperchaotic finance system by multistage approach |
| title | 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_short | Approximate-analytic solution of hyperchaotic finance system by multistage approach |
| title_sort | approximate-analytic solution of hyperchaotic finance system by multistage approach |
| url | http://journalarticle.ukm.my/19762/ http://journalarticle.ukm.my/19762/ http://journalarticle.ukm.my/19762/1/25.pdf |