scholarly journals Preface

Author(s):  
Abdon Atangana ◽  
Hasan Bulut ◽  
Zakia Hammouch ◽  
Haci Mehmet Baskonus

In the last decade, it has been proven in several research papers that, mathematical tools are rather power in describing real world problem in all fields of science, technology and engineering. Various mathematical models that examine real world problems have been studied and developed with the aim of predicting the future. Due to the wider applicability of these tools, research observes that the field of applied sciences is a rapidly growing discipline and has engaged the minds of researchers. The recently developed mathematical models bear certain kinds of complexities. Therefore new methods have been elaborated for observing the properties of intricated models accurately. Moreover, comprehensive information about the models have been found by modifiying the existing methods in literature. By means of the outstanding increase in information, such findings uncover new aspects and properties of real world problems. In addition, structural changes of models and technical improvements in practices brought out novel challenging issues. Such challenges have resulted in new and modified methods. Therefore, the studies in such fields are essential and meaningful in understanding the diverse aspects of the models.This special issue aims at addressing these interesting research matters in the field of applied and engineering sicences. The main source of the articles in this special issue were the selected papers from those presented at the Second International Conference on Computational Mathematics and Engineering Sciences (CMES2017), which was held on May 20-22, 2017, in Istanbul, Turkey. During CMES2017, several various papers related to applied and engineering sicence have been presented. In this special issue, we have received 12 manuscripts based on rigorous reviews. This special issue has greatly benefited from the cooperation among the authors, reviewers, and editors.We would like to express our sincere gratitude to Moulay Ismail University and Firat University for organizing CMES2017 Conference and all the authors for their contributions, which has made this special issue possible. 

2021 ◽  
Vol 5 (2) ◽  
pp. 35
Author(s):  
Haci Mehmet Baskonus ◽  
Luis Manuel Sánchez Ruiz ◽  
Armando Ciancio

Mathematical models have been frequently studied in recent decades in order to obtain the deeper properties of real-world problems [...]


2019 ◽  
Vol 326-327 ◽  
pp. 69-70
Author(s):  
Pablo García Bringas ◽  
Igor Santos ◽  
Enrique Onieva ◽  
Eneko Osaba ◽  
Héctor Quintián ◽  
...  

1993 ◽  
Vol 86 (8) ◽  
pp. 657-661
Author(s):  
Peter L. Glidden ◽  
Erin K. Fry

The reforms proposed in the NCTM's Curriculum and Evaluation Standards (1989) call for specific changes in the grades 9-12 mathematics curriculum, as well as for general themes that should be emphasized throughout the curriculum. In particular, the standards document calls for including topics from discrete mathematics and three-dimensional geometry, and it calls for increased emphasis on paragraph-style proofs. Overall, these and other topics should be taught with the ultimate goals of illustrating mathematical connections and constructing mathematical models to solve real-world problems.


Author(s):  
Kento Uemura ◽  
◽  
Isao Ono

This study proposes a new real-coded genetic algorithm (RCGA) taking account of extrapolation, which we call adaptive extrapolation RCGA (AEGA). Real-world problems are often formulated as black-box function optimization problems and sometimes have ridge structures and implicit active constraints. mAREX/JGG is one of the most powerful RCGAs that performs well against these problems. However, mAREX/JGG has a problem of search inefficiency. To overcome this problem, we propose AEGA that generates offspring outside the current population in a more stable manner than mAREX/JGG. Moreover, AEGA adapts the width of the offspring distribution automatically to improve its search efficiency. We evaluate the performance of AEGA using benchmark problems and show that AEGA finds the optimum with fewer evaluations than mAREX/JGG with a maximum reduction ratio of 45%. Furthermore, we apply AEGA to a lens design problem that is known as a difficult real-world problem and show that AEGA reaches the known best solution with approximately 25% fewer evaluations than mAREX/JGG.


2020 ◽  
Vol 39 (3) ◽  
pp. 287-291
Author(s):  
Erina L. MacGeorge

Advice is a ubiquitous and consequential form of social support and social influence in virtually every social and cultural context, and has therefore garnered considerable scholarly attention over the past two decades, including the development of several theories specific to explaining advice evaluation and outcomes. The studies selected for this special issue extend existing theory through critique, extension, and integration; showcase methodological improvement and innovation; and illustrate meaningful application of theory and research to address real-world problems.


2020 ◽  
Vol 32 (1) ◽  
pp. 25-38 ◽  
Author(s):  
Tonči Carić ◽  
Juraj Fosin

This paper provides a framework for solving the Time Dependent Vehicle Routing Problem (TDVRP) by using historical data. The data are used to predict travel times during certain times of the day and derive zones of congestion that can be used by optimization algorithms. A combination of well-known algorithms was adapted to the time dependent setting and used to solve the real-world problems. The adapted algorithm outperforms the best-known results for TDVRP benchmarks. The proposed framework was applied to a real-world problem and results show a reduction in time delays in serving customers compared to the time independent case.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 260
Author(s):  
Gabriella Bretti

Differential models, numerical methods and computer simulations play a fundamental role in applied sciences. Since most of the differential models inspired by real world applications have no analytical solutions, the development of numerical methods and efficient simulation algorithms play a key role in the computation of the solutions to many relevant problems. Moreover, since the model parameters in mathematical models have interesting scientific interpretations and their values are often unknown, estimation techniques need to be developed for parameter identification against the measured data of observed phenomena. In this respect, this Special Issue collects some important developments in different areas of application.


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