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Jurnal MIPA dan Pembelajarannya
Published by Universitas Negeri Malang
ISSN : -     EISSN : 27980634     DOI : https://doi.org/10.17977/um067
Core Subject : Science, Education, Engineering,
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Energy Immunology & microbiology Materials Science & Nanotechnology Mathematics
Jurnal MIPA dan Pembelajarannya (JMIPAP) is a publication that focuses on education, particularly in the areas of mathematics and natural sciences. The journal publishes articles, research papers, and other relevant manuscripts related to the teaching and learning of these subjects. It provides a platform for educators, researchers, and scholars to share their ideas, insights, and innovative teaching methods that can enhance the teaching and learning experience of students in mathematics and natural sciences. JMIPAP aims to contribute to the improvement of the quality of education in these fields by providing a space for the exchange of knowledge and ideas among its readers and contributors.
Arjuna Subject : Kimia(semua kategori) - Kimia (Lain-Lain)
Articles 2 Documents
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Search results for , issue "Vol. 6 No. 3 (2026): March" : 2 Documents clear
The Use of Differential Equations in Studying Population Growth Jabbar, Jenan Raad Abdul
Jurnal MIPA dan Pembelajarannya Vol. 6 No. 3 (2026): March
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um067v6i32026p1

Abstract

Population growth is an important concept in biology, ecology, economics, and demography because it dictates the manner in which resources are utilized, urbanism, and environmental policies. This paper is a discussion on the application of the use of differential equations in the modeling of population growth. Two of them are analyzed, the exponential growth model, which presupposes unlimited resources, and the logistic growth model, which presupposes environmental restrictions by the carrying capacity. The findings indicate that the exponential model is more appropriate to describe an accelerated population growth in a perfect situation, whereas the logistic model is more realistic in terms of the long-term prognosis because it takes into consideration resource limitations. The paper emphasizes the role of the differential equations in the prediction of the population trends, resource planning, and ecological dynamics. Policy, education and research recommendations are also addressed.
A Hybrid Method Based on Block-Pulse Functions and Bernoulli Polynomials for the Efficient Numerical Solution of Two-Dimensional Fractional Differential Equations Hadi, Mohammed Saleh
Jurnal MIPA dan Pembelajarannya Vol. 6 No. 3 (2026): March
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um067v6i32026p2

Abstract

The current paper is a new hybrid numerical approach to the solution of two-dimensional fractional differential equations (FDEs) based on Block-Pulse Functions (BPFs) and compact support as well as Bernoulli polynomials (BPs) with fast global convergence. The fractional differential equation is converted into a system of linear algebraic equations through the proposed method based on collocation methods at Gauss-Lobotto points, using operational matrices of fractional integral and derivative operators.  The algorithm can be used with small bases (M≤5) to achieve high accuracy. The effectiveness of the method is confirmed by four numerical examples (including linear and nonlinear fractional differential equations) and a comparison with classical numerical methods. The approach is also used to a practical model to simulate the dispersion of the pollutants in the multi-layered soil systems. Findings indicate that hybrid approach provides a good compromise between computational cost and computational accuracy even with non-smooth solutions or complicated domains.

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