• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.229-241
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• 2007

Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control of fractional-order dynamical system. In this paper, the multi-term fractional ordinary differential equations are transferred into equivalent a system of equations. The existence and uniqueness of the new system are proved. A fractional order difference approximation is constructed by a decoupled technique and fractional-order numerical techniques. The consistence, convergence and stability of the numerical approximation are proved. Finally, some numerical results are presented to demonstrate that the numerical approximation is a computationally efficient method. The new method can be applied to solve the fractional-order control system.

• International journal of advanced smart convergence
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• v.12 no.3
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• pp.141-148
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• 2023

As the direction of education in the fourth industry in the 21st century, convergence talent education that emphasizes the connection and convergence between core competency-based education and academia is emerging to foster creative talent. The purpose of this paper is to present the criteria for evaluating the competency of learning outcomes in order to develop a strategic model for innovation in engineering teaching-learning. In this paper, as a study to establish the direction of implementation of convergence talent education, a creative innovation teaching method support system was established to improve the quality of convergence talent education. Firstly, a plan to develop a teaching-learning model based on computing thinking. Secondly, it presented the development of a teaching-learning model based on linkage and convergence learning. Thirdly, we would like to present educational appropriateness and ease based on convergence learning in connection with curriculum improvement strategies based on computing thinking skills. Finally, we would like to present a strategic model development plan for innovation in engineering teaching-learning that applies the convergence talent education program.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.59-66
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• 2003

The object of the present paper is to establish some criteria of the convergence of all bounded solutions of (1), (1').

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2008.05a
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• pp.909-912
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• 2008

The 'convergence service' in NGN implies the integration of services in NGN with a unified manner to access each service in order to interwork with each service. This Recommendation defines the convergence model for NGN based on Web Services and provides a detailed scenario of each convergence model in form of Web Services.

• Bulletin of the Korean Mathematical Society
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• v.44 no.1
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• pp.125-130
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• 2007

We propose a simple and intuitive method to derive the exact convergence rate of global $L_{2}-norm$ error for strong numerical approximation of stochastic differential equations the result of which has been reported by Hofmann and $M{\"u}ller-Gronbach\;(2004)$. We conclude that any strong numerical scheme of order ${\gamma}\;>\;1/2$ has the same optimal convergence rate for this error. The method clearly reveals the structure of global $L_{2}-norm$ error and is similarly applicable for evaluating the convergence rate of global uniform approximations.

• Journal of the Korean Mathematical Society
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• v.54 no.1
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• pp.17-33
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• 2017

We present a new local as well as a semilocal convergence analysis for Steffensen's method in order to locate fixed points of operators on a Banach space setting. Using more precise majorizing sequences we show under the same or less computational cost that our convergence criteria can be weaker than in earlier studies such as [1-13], [21, 22]. Numerical examples are provided to illustrate the theoretical results.

• East Asian mathematical journal
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• v.24 no.1
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• pp.27-33
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• 2008

The purpose of this paper is to establish the weak convergence theorem of Mann iterative sequence for nonexpansive mappings in probabilistic Hilbert spaces. In order to establish the weak convergence theorem, a new method was presented in this paper, that is method of mathematical expectation.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1195-1209
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• 2009

In this paper, we point out some errors in a recent paper by Cordero and Torregrosa [7]. We prove the convergence of the variants of Newton's method for solving the system of nonlinear equations using two different approaches. Several examples are given, which illustrate the cubic convergence of these methods and verify the theoretical results.

• Journal of Institute of Convergence Technology
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• v.10 no.1
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• pp.31-36
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• 2020

The purpose of this study is to discuss how to introduce micro degree for innovation in convergence education in our university. To this end, the background of the introduction of micro and nano degrees and domestic and foreign applications were reviewed. The reason why the rate of students completing the multi-degree was low was that the credits required for graduation were higher than that of other domestic universities, and the difficulty of the courses offered in the convergence major did not match the students. In order to reduce the burden of students learning convergence subjects while acquiring new knowledge and skills, the introduction of a micro degree is considered to be an alternative to the current convergence education.

• Journal of the Korean Home Economics Association
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• v.46 no.4
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• pp.61-69
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• 2008

The definition of convergence employed in this study is a sociocultural phenomenon where different patterns, genres or fields coexist along with the existence of a knowledge based society. The focus of this study was centered on identifying the characteristics of contemporary fashion paradigm in association with changing cultural convergence according to the theories of Mark Weiser and other futurologists. The purpose of this study was to delve into the features of this paradigm in conjunction with changing cultural convergence in 21st century's knowledge-based society, and the influence of convergence paradigm on fashion. After identifying the features of knowledge-based society paradigm in association with changing cultural convergence, the characteristics of the fashion paradigm in order to ascertain and analyze fashion trends. Conclusions based on analyzed data indicate that in a knowledge-based society, paradigm change resulting from convergence phenomena contributes to facilitating the dissolution of fashion from other fields and its fusion with other areas.