Special Issue "Role of Computer in Modelling & Solving Real-World Problems"

Submission Deadline: 01 July 2021 (closed)
Guest Editors
Dr. Hijaz Ahmad, International Telematic University Uninettuno, Italy.
Dr. Abdon Atangana, University of the Free State, South Africa.
Dr. Mahmoud Abdel-Aty, Sohag University, Egypt.
Dr. Guotao Wang, Shanxi Normal University, China.
Dr. Clemente Cesarano, International Telematic University, Italy.


When modeling real-world problems, we often have to deal with measurements of different, related and mutually dependent processes. Partial differential equations are frequently used to model several physical phenomenons, arising in applied sciences and engineering. The solutions of these PDEs are of primary importance for the determination of physical behaviour of these physical phenomenons. The exact/analytical solutions of these PDEs are ideal, but due to mathematical complications, the exact/analytical solutions are possible only for simple problems with simple boundary conditions. The exact solutions of nonlinear PDEs arised in science and engineering are not always possible or time-consuming and thus the use of approximate/numerical approaches continuously remains an important alternative for the numerical treatment of these type equations. The numerical solutions of PDEs have been of much importance for many years. in the last few years, tremendous progress has been made to this area, due to the development of computer technology. Although significant progress has been made, still the numerical methods are in the early stage of their development.


This Special Issue deals with the recent advances in computer based techniques for partial differential equations of integer order as well as fractional-order, especially in science and engineering, and will accept high-quality papers having original research results.

The purpose of this Special Issue is to unite mathematicians with physicists, engineers and other researchers, for whom differential equations are valuable research tools.

Computational mathematical techniques
Partial differential equations
Numerical simulation
Modelling real world problems
Computer based algorithms
Advances in numerical techniques

Published Papers
  • An Artificial Intelligence Approach for Solving Stochastic Transportation Problems
  • Abstract Recent years witness a great deal of interest in artificial intelligence (AI) tools in the area of optimization. AI has developed a large number of tools to solve the most difficult search-and-optimization problems in computer science and operations research. Indeed, metaheuristic-based algorithms are a sub-field of AI. This study presents the use of the metaheuristic algorithm, that is, water cycle algorithm (WCA), in the transportation problem. A stochastic transportation problem is considered in which the parameters supply and demand are considered as random variables that follow the Weibull distribution. Since the parameters are stochastic, the corresponding constraints are probabilistic. They… More
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  • Amino Acid Encryption Method Using Genetic Algorithm for Key Generation
  • Abstract In this new information era, the transfer of data and information has become a very important matter. Transferred data must be kept secured from unauthorized persons using cryptography. The science of cryptography depends not only on complex mathematical models but also on encryption keys. Amino acid encryption is a promising model for data security. In this paper, we propose an amino acid encryption model with two encryption keys. The first key is generated randomly using the genetic algorithm. The second key is called the protein key which is generated from converting DNA to a protein message. Then, the protein message… More
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  • Design of Computer Methods for the Solution of Cervical Cancer Epidemic Model
  • Abstract Nonlinear modelling has a significant role in different disciplines of sciences such as behavioral, social, physical and biological sciences. The structural properties are also needed for such types of disciplines, as dynamical consistency, positivity and boundedness are the major requirements of the models in these fields. One more thing, this type of nonlinear model has no explicit solutions. For the sake of comparison its computation will be done by using different computational techniques. Regrettably, the aforementioned structural properties have not been restored in the existing computational techniques in literature. Therefore, the construction of structural preserving computational techniques are needed. The… More
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  • Advance Artificial Intelligence Technique for Designing Double T-Shaped Monopole Antenna
  • Abstract Machine learning (ML) has taken the world by a tornado with its prevalent applications in automating ordinary tasks and using turbulent insights throughout scientific research and design strolls. ML is a massive area within artificial intelligence (AI) that focuses on obtaining valuable information out of data, explaining why ML has often been related to stats and data science. An advanced meta-heuristic optimization algorithm is proposed in this work for the optimization problem of antenna architecture design. The algorithm is designed, depending on the hybrid between the Sine Cosine Algorithm (SCA) and the Grey Wolf Optimizer (GWO), to train neural network-based… More
  •   Views:212       Downloads:141        Download PDF

  • Effect of Weather on the Spread of COVID-19 Using Eigenspace Decomposition
  • Abstract Since the end of 2019, the world has suffered from a pandemic of the disease called COVID-19. WHO reports show approximately 113 M confirmed cases of infection and 2.5 M deaths. All nations are affected by this nightmare that continues to spread. Widespread fear of this pandemic arose not only from the speed of its transmission: a rapidly changing “normal life” became a fear for everyone. Studies have mainly focused on the spread of the virus, which showed a relative decrease in high temperature, low humidity, and other environmental conditions. Therefore, this study targets the effect of weather in considering… More
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  • Driving Style Recognition System Using Smartphone Sensors Based on Fuzzy Logic
  • Abstract Every 24 seconds, someone dies on the road due to road accidents and it is the 8th leading cause of death and the first among children aged 15–29 years. 1.35 million people globally die every year due to road traffic crashes. An additional 20–50 million suffer from non-fatal injuries, often resulting in long-term disabilities. This costs around 3% of Gross Domestic Product to most countries, and it is a considerable economic loss. The governments have taken various measures such as better road infrastructures and strict enforcement of motor-vehicle laws to reduce these accidents. However, there is still no remarkable reduction… More
  •   Views:394       Downloads:323        Download PDF

  • Computer Geometries for Finding All Real Zeros of Polynomial Equations Simultaneously
  • Abstract In this research article, we construct a family of derivative free simultaneous numerical schemes to approximate all real zero of non-linear polynomial equation. We make a comparative analysis of the newly constructed numerical schemes with a well-known existing simultaneous method for determining all the distinct real zeros of polynomial equations using computer algebra system Mat Lab. Lower bound of convergence of simultaneous schemes is calculated using Mathematica. Global convergence property of the numerical schemes is presented by taking random starting initial approximation and their convergence history are graphically presented. Some real life engineering applications along with some higher degree polynomials… More
  •   Views:402       Downloads:391        Download PDF

  • Lightweight Transfer Learning Models for Ultrasound-Guided Classification of COVID-19 Patients
  • Abstract Lightweight deep convolutional neural networks (CNNs) present a good solution to achieve fast and accurate image-guided diagnostic procedures of COVID-19 patients. Recently, advantages of portable Ultrasound (US) imaging such as simplicity and safe procedures have attracted many radiologists for scanning suspected COVID-19 cases. In this paper, a new framework of lightweight deep learning classifiers, namely COVID-LWNet is proposed to identify COVID-19 and pneumonia abnormalities in US images. Compared to traditional deep learning models, lightweight CNNs showed significant performance of real-time vision applications by using mobile devices with limited hardware resources. Four main lightweight deep learning models, namely MobileNets, ShuffleNets, MENet… More
  •   Views:469       Downloads:333        Download PDF

  • A Stochastic Flight Problem Simulation to Minimize Cost of Refuelling
  • Abstract Commercial airline companies are continuously seeking to implement strategies for minimizing costs of fuel for their flight routes as acquiring jet fuel represents a significant part of operating and managing expenses for airline activities. A nonlinear mixed binary mathematical programming model for the airline fuel task is presented to minimize the total cost of refueling in an entire flight route problem. The model is enhanced to include possible discounts in fuel prices, which are performed by adding dummy variables and some restrictive constraints, or by fitting a suitable distribution function that relates prices to purchased quantities. The obtained fuel plan… More
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  • Numerical Solutions for Heat Transfer of An Unsteady Cavity with Viscous Heating
  • Abstract The mechanism of viscous heating of a Newtonian fluid filled inside a cavity under the effect of an external applied force on the top lid is evaluated numerically in this exploration. The investigation is carried out by assuming a two-dimensional laminar in-compressible fluid flow subject to Neumann boundary conditions throughout the numerical iterations in a transient analysis. All the walls of the square cavity are perfectly insulated and the top moving lid produces a constant finite heat flux even though the fluid flow attains the steady-state condition. The objective is to examine the effects of viscous heating in the fully… More
  •   Views:696       Downloads:541        Download PDF

  • Managing Delivery of Safeguarding Substances as a Mitigation Against Outbreaks of Pandemics
  • Abstract The optimum delivery of safeguarding substances is a major part of supply chain management and a crucial issue in the mitigation against the outbreak of pandemics. A problem arises for a decision maker who wants to optimally choose a subset of candidate consumers to maximize the distributed quantities of the needed safeguarding substances within a specific time period. A nonlinear binary mathematical programming model for the problem is formulated. The decision variables are binary ones that represent whether to choose a specific consumer, and design constraints are formulated to keep track of the chosen route. To better illustrate the problem,… More
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  • Optimum Location of Field Hospitals for COVID-19: A Nonlinear Binary Metaheuristic Algorithm
  • Abstract Determining the optimum location of facilities is critical in many fields, particularly in healthcare. This study proposes the application of a suitable location model for field hospitals during the novel coronavirus 2019 (COVID-19) pandemic. The used model is the most appropriate among the three most common location models utilized to solve healthcare problems (the set covering model, the maximal covering model, and the P-median model). The proposed nonlinear binary constrained model is a slight modification of the maximal covering model with a set of nonlinear constraints. The model is used to determine the optimum location of field hospitals for COVID-19… More
  •   Views:719       Downloads:374        Download PDF

  • Transmission and Reflection of Water-Wave on a Floating Ship in Vast Oceans
  • Abstract In this paper, we study the water-wave flow under a floating body of an incident wave in a fluid. This model simulates the phenomenon of waves abording a floating ship in a vast ocean. The same model, also simulates the phenomenon of fluid-structure interaction of a large ice sheet in waves. According to this method. We divide the region of the problem into three subregions. Solutions, satisfying the equation in the fluid mass and a part of the boundary conditions in each subregion, are given. We obtain such solutions as infinite series including unknown coefficients. We consider a limited number… More
  •   Views:583       Downloads:476        Download PDF

  • On Network Designs with Coding Error Detection and Correction Application
  • Abstract The detection of error and its correction is an important area of mathematics that is vastly constructed in all communication systems. Furthermore, combinatorial design theory has several applications like detecting or correcting errors in communication systems. Network (graph) designs (GDs) are introduced as a generalization of the symmetric balanced incomplete block designs (BIBDs) that are utilized directly in the above mentioned application. The networks (graphs) have been represented by vectors whose entries are the labels of the vertices related to the lengths of edges linked to it. Here, a general method is proposed and applied to construct new networks designs.… More
  •   Views:522       Downloads:371        Download PDF

  • Optimal and Memristor-Based Control of A Nonlinear Fractional Tumor-Immune Model
  • Abstract In this article, the reduced differential transform method is introduced to solve the nonlinear fractional model of Tumor-Immune. The fractional derivatives are described in the Caputo sense. The solutions derived using this method are easy and very accurate. The model is given by its signal flow diagram. Moreover, a simulation of the system by the Simulink of MATLAB is given. The disease-free equilibrium and stability of the equilibrium point are calculated. Formulation of a fractional optimal control for the cancer model is calculated. In addition, to control the system, we propose a novel modification of its model. This modification is… More
  •   Views:480       Downloads:466        Download PDF

  • An Intelligent Cluster Optimization Algorithm for Smart Body Area Networks
  • Abstract Body Area Networks (BODYNETs) or Wireless Body Area Networks (WBAN), being an important type of ad-hoc network, plays a vital role in multimedia, safety, and traffic management applications. In BODYNETs, rapid topology changes occur due to high node mobility, which affects the scalability of the network. Node clustering is one mechanism among many others, which is used to overcome this issue in BODYNETs. There are many clustering algorithms used in this domain to overcome this issue. However, these algorithms generate a large number of Cluster Heads (CHs), which results in scarce resource utilization and degraded performance. In this research, an… More
  •   Views:647       Downloads:445        Download PDF

  • A New Metaheuristic Optimization Algorithms for Brushless Direct Current Wheel Motor Design Problem
  • Abstract The Equilibrium Optimizer (EO), Grey Wolf Optimizer (GWO), and Whale Optimizer (WO) algorithms are being recently developed for engineering optimization problems. In this paper, the EO, GWO, and WO algorithms are applied individually for a brushless direct current (BLDC) design optimization problem. The EO algorithm is inspired by the models utilized to find the system’s dynamic state and equilibrium state. The GWO and WO algorithms are inspired by the hunting behavior of the wolf and the whale, respectively. The primary purpose of any optimization technique is to find the optimal configuration by maximizing motor efficiency and/or minimizing the total mass.… More
  •   Views:728       Downloads:516        Download PDF