Applying the Fractional Cubic Spline Method to Solve Dynamic Systems Numerically.
In this work, we present a new numerical technique for solving systems of differential equations in arising dynamical systems that is based on fractional cubic spline interpolation. The spline consists of several dimensions, and one of the fractional dimensions is α = 5 3 . In order to estimate the...
| Publicado en: | Journal of Basrah Researches (Sciences) Vol. 52; no. 1; pp. 1 - 14 |
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| Autores principales: | , |
| Formato: | Artículo |
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Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR)
2026
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=195078486&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 195078486 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 18172695 GYGY jtl: Journal of Basrah Researches (Sciences) issn: 18172695 maglogo: N pubinfo: dt: 2026 vid: 52 iid: 1 pid: 25427 pub: Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) artinfo: ui: 195078486 10.56714/bjrs.52.1.1 ppf: 1 ppct: 13 formats: tig: atl: Applying the Fractional Cubic Spline Method to Solve Dynamic Systems Numerically. aug: au: Mohammed, Karwan S. Hamasalh, Faraidun K. affil: University of Sulaimani, Department of Mathematics, College of Education, Sulaimani, Iraq. Sulaimani Polytechnic University, Bakrajo Technical Institute, Sulaimani, Iraq. su: Dynamical systems Differential equations Error analysis in mathematics MatLab (Computer software) Nonlinear systems Numerical analysis Interpolation sug: subj: Dynamical systems Differential equations Error analysis in mathematics MatLab (Computer software) Nonlinear systems Numerical analysis Interpolation keyword: and convergence analysis Caputo fractional derivative computational modelling Spline approximation النمذجة الحسابية تحليل الاستقرار سبلاين التقريب مشتق كابوتو الكسري ab: In this work, we present a new numerical technique for solving systems of differential equations in arising dynamical systems that is based on fractional cubic spline interpolation. The spline consists of several dimensions, and one of the fractional dimensions is α = 5 3 . In order to estimate the solution of nonlinear or linear dynamical systems, the suggested method builds a fractional cubic spline with suitable continuity and differentiability constraints and applies it iteratively. We can find the results for each step, and the error rate decreases, which in our sample makes the relative error close to 107 However, this method requires tracking the dynamic system at each step, using the previous step, which takes a lot of time. Therefore, we rely on MATLAB here. Better modeling of systems having memory effects or hereditary properties which are prevalent in many physical, biological, and engineering problems is made possible by the addition of fractional variables. The method's correctness and efficacy are demonstrated by numerical trials, which also show strong agreement with analytical or benchmark solutions. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2026 holdings: @attributes: islocal: N |
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