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Annals of Mathematical Modeling
Published by Research and Social Study Institute
ISSN : 72157822     EISSN : 72157822     DOI : 10.33292
Core Subject : Science, Education,
Computer Science & IT Mathematics
nnals of Mathematical Modeling integrates authoritative reports on current mathematical, articles cover a wide range of topics, including mathematical analyses, probability, statistics, cybernetics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, boundary value problems, linear operators, and number and function theory. The journal is a valuable resource for pure and applied mathematicians, statisticians, systems theorists and analysts, and information scientists.
Arjuna Subject : Matematika - Matematika Komputer
Articles 5 Documents
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Search results for , issue "Vol 2, No 1 (2020)" : 5 Documents clear
Numerical evaluation for two-dimensional integral using higher order Gaussian quadrature Suzarina Ahmed Sukri; Yeak Su Hoe; Taufiq Khairi Ahmad Khairuddin
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.70

Abstract

Presented in this paper is a computational approach that uses higher order Gaussian quadrature to improve the accuracy of the evaluation of an integral. The transformation from space (standard Gaussian) to st space (higher order Gaussian) were shown throughout this paper. Not even that, the efficacy of this higher order Gaussian quadrature were tested by implementing and comparing it with standard Gaussian quadrature over the same integral. Results shown that the evaluation of an integral by using higher order Gaussian quadrature provide accurate and converge results compared to an integral using standard Gaussian quadrature.
Analytical solution of telegraph equations by variational iteration method Aisha Awais
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.64

Abstract

In this paper, the variational iteration method (VIM) is utilized for the solution of telegraph equations, which emerge in the propagation of electrical signals along a broadcast line. The suggested method is progressively effective and simpler to deal with as contrast with the decomposition method. Numerical outcomes demonstrate the effectiveness and exactness of the proposed VIM.
Stability analysis of predator-prey model with stage-structured and the effect of harvesting Noorehan Yaacob; Faridah Mustapha
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.65

Abstract

Abstract Predator-prey model is the study to show the interaction between prey and predator. A stage-structured model is introduced where the mature and immature of the species is considered. Also, the effect of harvesting is taken into account for sustainable development. The model in this paper is explained by using the ordinary differential equations to show the dynamic behavior of the predator and prey. Hence, the predator-prey model with stagestructured in prey with the effect of harvesting in predator is considered in this paper. In analyzing the model, the stability of the equilibrium point is obtained and described by using the properties of eigenvalues and Routh-Hurwitz criteria. Finally, numerical simulations are given to verify the analytical results with the help of graphical illustrations.
Effects of Blum’s phase based instruction on the mathematical modelling abilities among year 5 pupils Harsharanjit Kaur; Kwan Eu Leong
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.67

Abstract

Skills required by pupils for the 21st century differ from what was required twenty years back. The results of the 21st century concentrates on the abilities and knowledge pupils must learn to be successful in college, life and work. In order to do this, pupils should be taught to master critical thinking skills. The effective way is by including modelling in their syllabus. In mathematics learning, mathematical modelling deals with modelling and application in mathematics teaching, characterising pupils’ modelling abilities and application of modelling activities toward building their competencies. In this study, seventy fifth grade pupils from a school in Selangor, Malaysia, were chosen as the participants. Quantitative approach was used in this study. These pupils were selected using convenience sampling procedure. Open ended tasks based on some real-world problems were given to the pupils. Their answers were assessed using a rubric score table. The scores ranged from 1 to 3 and there was explanation in each score to give marks to their answers. descriptive statistics and Analysis of Covariance (Ancova) were used for answering the research questions. The findings showed that the pupils in the experimental group performed very well in their modelling task whereas pupils in the control group could not perform well in the modelling task.
Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khatibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.69

Abstract

Derivatives are one of the objects of calculus that is difficult for students to learn. The purpose of this study was to describe the cognitive processes of students in understanding the application of derivatives. This is a qualitative research involving one subject with the initials L. The main instrument of this research is the researcher who is guided by an assignment sheet and an interview guide. Data collection was carried out through task-based interviews. To get complete and accurate data recorded through audiovisual. Data were analyzed descriptively through genetic decomposition based on APOS (action-process-object-schema) theory. The results of this study are that L can coordinate the process-object of all the properties of a given function, with adjacent or overlapping intervals in all h domains so that a mature scheme of function graph sketches is formed. So that an accurate function graph sketch is obtained. The conclusion is that L's cognitive process of applying derivatives is at a high level. It's a trance level.

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