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A NEW THREE- STEP DERIVATIVE FREE ITERATIVE METHOD AND ITS DYNAMICS Syamsudhuha, Syamsudhuha; Imran, M; Putri, Ayunda; Deswita, Leli; Amelia, Riski
Journal of the Indonesian Mathematical Society Vol. 30 No. 3 (2024): NOVEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.3.1533.361-373

A new free derivative iterative method is presented in this article. The method is developed by combining Newton’s method and Euler’s method. Deriva- tives in this method are approximated by forward difference, hyperbola and divided difference. The order of convergence is proven analytically to be of sixth order. Numerical results exhibit that the new method is comparable to other methods. Basins of attraction are also provided to support the proposed method.

A New Second Derivative Free Iterative Method of Fifth Order of Convergence and Its Applications Putri, Ayunda; M, Imran
Jurnal Matematika UNAND Vol. 12 No. 4 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.4.283-292.2023

The primary objective of this article is to derive a new free from second derivative iterative method for solving nonlinear equations. The proposed method is proven to have fifth order of convergence. Comparisons with other iterative methods represent the advantage of the modified method. Observation on applications of the method in problem of chemical equilibrium , binary azeotropic problem, volume from van der Waals equations and eccentric anomaly in Kepler's law exhibits that our method is applicable and preferable.

Corrected Trapezoidal Rule For The Riemann-Stieltjes Integral Marjulisa, Rike; Imran, M; Putri, Ayunda
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 2 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v0i0.26475

This study investigates the derivation of a corrected trapezoidal rule for approximating the Riemann-Stieltjes integral. The corrected trapezoidal rule is derived by approximating certain monomial functions to obtain optimal method coefficients. The proposed method has an accuracy of order three. Furthermore, an error analysis is conducted to assess the accuracy of the obtained approximation. In the final section, numerical computations are presented to compare the performance of the proposed method with existing methods. The results demonstrate that the proposed method produces smaller errors compared to previously developed approaches.

The Influence Of Job Satisfaction, Perceived Organizational Support, And Work-Life Balance On Turnover Intention Through The Mediation Of Organizational Commitment Putri, Ayunda; Wicaksana, Harits Hijrah
J-CEKI : Jurnal Cendekia Ilmiah Vol. 5 No. 2: Februari 2026
Publisher : CV. ULIL ALBAB CORP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/jceki.v5i2.12795

The rising phenomenon of employee turnover has become a serious concern for organizations, as it negatively affects productivity, employee morale, and the continuity of business operations. This study aims to analyze the effect of job satisfaction, perceived organizational support, and work-life balance on turnover intention, with organizational commitment as a mediating variable. A quantitative approach was employed using stratified random sampling, involving 210 permanent employees at PT Jembo Cable Company Tbk. Data were analyzed using the Partial Least Square-Structural Equation Modeling (PLS-SEM) method with SmartPLS software. The results indicate that job satisfaction and work-life balance have a positive influence on organizational commitment, while perceived organizational support does not show a significant effect. Organizational commitment was proven to reduce turnover intention and mediate the relationship between job satisfaction and work-life balance with turnover intention. However, the relationship between perceived organizational support and turnover intention is not mediated by organizational commitment, and its direct effect on turnover intention does not align with the hypothesized direction. These findings highlight that enhancing job satisfaction and work-life balance is essential for strengthening employee commitment to the organization, thereby reducing turnover intention more effectively and sustainably.

The Influence Of Job Satisfaction, Perceived Organizational Support, And Work-Life Balance On Turnover Intention Through The Mediation Of Organizational Commitment Putri, Ayunda; Wicaksana, Harits Hijrah
J-CEKI : Jurnal Cendekia Ilmiah Vol. 5 No. 2: Februari 2026
Publisher : CV. ULIL ALBAB CORP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/jceki.v5i2.12795

The rising phenomenon of employee turnover has become a serious concern for organizations, as it negatively affects productivity, employee morale, and the continuity of business operations. This study aims to analyze the effect of job satisfaction, perceived organizational support, and work-life balance on turnover intention, with organizational commitment as a mediating variable. A quantitative approach was employed using stratified random sampling, involving 210 permanent employees at PT Jembo Cable Company Tbk. Data were analyzed using the Partial Least Square-Structural Equation Modeling (PLS-SEM) method with SmartPLS software. The results indicate that job satisfaction and work-life balance have a positive influence on organizational commitment, while perceived organizational support does not show a significant effect. Organizational commitment was proven to reduce turnover intention and mediate the relationship between job satisfaction and work-life balance with turnover intention. However, the relationship between perceived organizational support and turnover intention is not mediated by organizational commitment, and its direct effect on turnover intention does not align with the hypothesized direction. These findings highlight that enhancing job satisfaction and work-life balance is essential for strengthening employee commitment to the organization, thereby reducing turnover intention more effectively and sustainably.

Peningkatan Kompetensi Guru MGMP Matematika SMA Melalui Pelatihan Penyusunan Bank Soal Digital Berbasis Website Marjulisa, Rike; Putri, Ayunda; Putra, Yusa; Aptinsyah, Devan; Khan, Nanditya Syahmi
Unri Conference Series: Community Engagement Vol 7 (2025): Seminar Nasional Pemberdayaan Masyarakat
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31258/unricsce.7.546-551

Digital transformation in education requires teachers to adapt to learning and assessment technologies. This community service program aims to improve the competence of high school mathematics teachers in Pelalawan Regency through training in the use of a digital question bank website. Activities include orientation, training in question development, use of automatic evaluation features, and utilization of the student learning outcome analysis dashboard. Data was collected through observation, questionnaires, and documentation of teachers' activities during training and implementation. The results of the activities indicate that teachers are able to operate the website effectively. The automatic evaluation feature was proven to speed up the correction process and provide faster feedback to students. Meanwhile, the analysis dashboard made it easier for teachers to monitor student learning achievements based on topics, thereby supporting measurable improvements in learning strategies. Additionally, the digital question bank helped standardize question quality across schools under the coordination of the MGMP, making assessments more consistent and transparent. The implementation of this website also improves time efficiency and reduces teachers' administrative burden in the evaluation process. Thus, this program contributes to improving teachers' digital literacy, assessment effectiveness, and strengthening collaboration among teachers within the MGMP environment. The sustainability of the program is expected to support the creation of an inclusive and competitive digital learning ecosystem.

A Four-Step High-Order Iterative Method for Nonlinear Equations with Scientific Applications Putra, Supriadi; Putri, Ayunda; Zulkarnain, Zulkarnain; Marjulisa, Rike; Novita, Devi
Jambura Journal of Mathematics Vol 8, No 1: February 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i1.35161

In this paper, we propose a new four-step iterative method for solving nonlinear equations based on a predictor–corrector framework that combines Newton’s, Ostrowski’s, and Householder’s methods. To avoid explicit evaluation of higher derivatives, particularly the second derivative, polynomial interpolation is employed to approximate derivative information in the higher-order step, while retaining first-derivative evaluations where required. The resulting scheme attains an optimal convergence order of fourteen using six function evaluations per iteration. Numerical experiments on several benchmark functions and two classical application problems, namely the computation of libration points and a Fibonacci-type root-finding problem, demonstrate improved accuracy and robust convergence behavior. In the reported tests, the method achieves the expected computational order of convergence and typically converges within a small number of iterations. The convergence properties are further examined through residual errors, step differences, and the observed computational order of convergence.

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