• International Journal of Computer Science & Network Security
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• 제21권9호
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• pp.79-85
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• 2021

The locating-chromatic number denote by 𝛘_𝐿(G), is the smallest t such that G has a locating t-coloring. In this research, we determined locating-chromatic number for subdivision of certain barbell operation of origami graphs.

• 대한수학교육학회지:학교수학
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• 제2권1호
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• pp.183-202
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• 2000

The purpose of this study is to restructure the 10th grade mathematics curriculum for teaching the function area under the computer environment using ‘Mathview’, which is a computer algebra system designed for exploring algebra dynamically. The instructional sequence of the function area was redesigned to highlight the functions and properties of the computer software. And, based on the newly designed sequence, this study develops the sample ‘teaching unit’ using Mathview. The basic principle of the materials is to encourage students to investigate mathematics by manipulate various experimental tasks by themselves or through group study. And, the draft of the sequence and teaching unit was reviewed by some mathematics teachers and revised through the feedback.

• International Journal of Computer Science & Network Security
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• 제24권1호
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• pp.1-8
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• 2024

In contemporary education, the rapid advancement of digital technologies elevates demands for integrating the latest tools into the learning process. Mathematical analysis, as a discipline, benefits from computer mathematics in distance education, enhancing practical aspects and enabling individualized learning. This article addresses the integration of the Maple computer mathematics system into higher education, specifically in teaching "Mathematical Analysis." Emphasizing its role in distance learning, computer mathematics optimizes the educational environment, reducing the time required for knowledge acquisition. The article showcases the application of Maple in finding extremum points and introduces an educational software simulator, enabling students to practice the method. The simulator, developed within Maple, facilitates self-checking and enhances the study of functions. Conclusions drawn from the study highlight the positive impact of these tools on distance education, affirming Maple's role in enhancing professional training and information culture among higher education students.

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1001-1015
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• 2009

In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.

• 정보교육학회논문지
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• 제11권2호
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• pp.221-230
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• 2007

우리는 현재 정보화 시대에 살고 있다. 컴퓨터 테크놀로지의 도움으로 사회의 생산성과 효율성 그리고 편리성이 증진되었다. 교육에 있어서도 이러한 정보기술의 도움을 받고 있으나, 아직까지 학교 교육에서 가장 널리 사용되는 도구가 여전히 칠판과 교과서인 점을 생각해 볼 때 정보공학이 교육 분야에서 제대로 활용되지 못한 점을 느낄 수 있다. 본 논문에서는 수학교육을 위한 학습시스템을 제안한다. 제안된 학습시스템은 저작도구를 이용하여 수학교육 콘텐츠를 초 중고등학교 교사들이 손쉽게 작성할 수 있으며, 이를 수업에 활용할 수 있다. 작성된 수학교육 콘텐츠를 데이터베이스로 축척하여 그 활용성을 높인다.

• Nonlinear Functional Analysis and Applications
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• 제28권2호
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• pp.407-420
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• 2023

In this manuscript, we study the sufficient conditions for controllability of Volterra-Fredholm type fractional integro-differential systems in a Banach space. Fractional calculus and the fixed point theorem are used to derive the findings. Some examples are provided to illustrate the obtained results.

• 대한수학회지
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• 제48권3호
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• pp.513-527
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• 2011

The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.

• East Asian mathematical journal
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• 제24권1호
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• pp.57-65
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• 2008

The approximate solvability of a generalized system for non-linear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.409-431
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• 2022

In this paper, we deal with the existence of solutions of the following system of nonlinear rational difference equations with order five $x_{n+1}=\frac{y_{n-3}x_{n-4}}{y_n(a+by_{n-3}x_{n-4})}$, $y_{n+1}=\frac{x_{n-3}y_{n-4}}{x_n(c+dx_{n-3}y_{n-4})}$, n = 0, 1, ⋯, where parameters a, b, c and d are not executed at the same time and initial conditions x_-4, x_-3, x_-2, x_-1, x₀, y_-4, y_-3, y_-2, y_-1 and y₀ are non zero real numbers.

• International Journal of Computer Science & Network Security
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• 제22권9호
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• pp.31-34
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• 2022

The concept of locating chromatic number of graph is a development of the concept of vertex coloring and partition dimension of graph. The locating-chromatic number of G, denoted by χ_L(G) is the smallest number such that G has a locating k-coloring. In this paper we will discussed about the procedure for determine the locating chromatic number of Origami graph using Python Programming.