High performance computing of explicit schemes for electrofusion jointing process based on message-passing paradigm

The research focused on heterogeneous cluster workstations comprising of a number of CPUs in single and shared architecture platform. The problem statements under consideration involved one dimensional parabolic equations. The thermal process of electrofusion jointing was also discussed. Numerical schemes of explicit type such as AGE, Brian, and Charlies Methods were employed. The parallelization of these methods were based on the domain decomposition technique. Some parallel performance measurement for these methods were also addressed. Temperature profile of the one dimensional radial model of the electrofusion process were also given

Some numerical methods of diffusion equation for dic technique

Food drying is one of the common techniques for preserving food to decrease the moisture content and minimize the biochemical reactions of degradation. This paper focuses on the mathematical modeling of tropical fruits dehydration using instant controlled pressure drop (Détente Instantanée Controlée or known as DIC) technique. The mathematical model is described based on the Fick’s second type law [1]. Neglecting the effects of shrinkage, the Fick’s law is transformed into one dimensional partial differential equation (PDE) with parabolic type. The discretization of the PDE is based 3 points weighted finite difference approximation. The simulation of the diffusion equation is illustrated through some numerical iterative methods; Jacobi, Gauss Seidel, Red Black Gauss Seidel and Successive Over Relaxation (SOR) methods. The sequential algorithm is developed by using Matlab 7.6.0 software with R2008a version supported by Intel®CoreTM Processor. The numerical analyses of these iterative methods are compared in terms of number of iterations, time execution, maximum error, root mean square error and computational complexity cost

Numerical method for solving multipoints elliptic-parabolic equation for dehydration process

Drying is the oldest and efficient form of preserving fruits. This research focuses on the mathematical modeling of tropical fruits dehydration using instant controlled pressure drop (Détente Instantanée Controlée or known as DIC) technique. We proposed a modification of mathematical modeling to enhance the previous modeling from Haddad et al. [10]. The mathematical modeling presents the dehydration process of DIC technique which involves parameters such as pressure, water content, time dependency, dimension of region and temperature behavior. The modification of the mathematical modeling has been done by transforming the quadratic equation to partial differential equation (PDE). The simulation of the dehydration process will be illustrated through Jacobi method based on two, three and five points forward difference schemes. The sequential algorithm is developed by using Matlab 7.6.0 (R2008a) programming. The numerical analysis of finite difference schemes in terms of number of iteration, time execution, maximum error and computational cost are compared

Solving Troesch's problem by using modified nonlinear shooting method

In this research article, the non - linear shooting method is modified (MNLSM) and is considered to simulate Troesch’s sensitive problem (TSP) numerically. TSP is a 2nd order non - linear BVP with Dirichlet boundary conditions . In M NLSM , classical 4 th order Runge - Kutta method is replaced by Adams - Bashforth - Moulton method, both for systems of ODEs . MNLSM showed to be efficient and is easy for implementation. Numerical results are given to show the performance of MNLSM, compared to the exact solution and to the results by He’s polynomials. Also, discussion of results and the comparison with other applied techniques from the literature are given for TSP

Social Media Used in Higher Education: A Literature Review of Theoretical Models

Abstract— This research provides a literature review related with social media used for collaborative learning and engagement in turn, to affect students' academic performance in higher education. Therefore, the main objective of this research is to review models on social media use for active collaborative learning and engagement by interactive and perceptual factors in turn affecting the learning performance of research students. Therefore, this study conducted on two theories constructivism theory and Technology Acceptance Model (TAM). This paper conducted an analysis of studies dedicated to social media use for collaborative learning and engagement based on previous research problems of models, and the theories. According to the literature review and discussion in this research, we noted the full satisfaction of students was through the use of social media for active collaborative learning and engagement to positively affect their learning performance.Keywords— Social Media, Collaborative Learning, Students’ Academic Performance, Theoretical Model

Incompressible Flow Simulation Using SIMPLE Method on Parallel Computer

This paper is concerned with the development of a parallel algorithm on cluster of workstation with Parallel Virtual Machine (PVM) for solving the finite difference Navier-Stokes and energy equations. The numerical procedure is based on SIMPLE (Semi Implicit Method for Pressure Link Equations) developed by Spalding. The governing equations are transformed into finite difference forms using the control volume approach. The hybrid scheme which is a combination of the central difference and up wind scheme was used in obtaining a profile assumption for parameter variations between the grids points. The Domain Decomposition Method (DDM) was used to decompose the domain into a small domain and each of the domains was solved by different processors. The accuracy of the parallelization method was done by comparing with a benchmark solution of a standardized problem related to the two dimensional buoyancy flow in a square enclosure. The results are shown in the forms of contour maps of non-dimensional temperature and velocities

Prevalence and management of menopausal symptoms in malaysian women during peri and post menopause

Women upon reaching menopause often silently suffer debilitating physical and psychological symptoms. The peri and postmenopausal period constitutes a challenging transition time for women’s health, and good menopausal health is a crucial aspect in healthy and successful aging. These situations affects women globally however Malaysian women are mostly unaware how to manage onset of menopause. This study aims to systematically review published data for the prevalence and management of menopausal symptoms in Malaysian women. Findings indicated that Malaysia women experienced similar menopausal symptoms as other women globally. However, these studies indicated that Malaysian women lack the knowledge to manage and prepare for menopause. The menopausal transition demarks dramatic changes at the hormonal, physiological, and metabolic level. Eventually, our study will develop an online tool to provide information and manage menopausal symptom

Big data, modeling, simulation, computational platform and holistic approaches for the fourth industrial revolution

Naturally, the mathematical process starts from proving the existence and uniqueness of the solution by the using the theorem, corollary, lemma, proposition, dealing with the simple and non-complex model. Proving the existence and uniqueness solution are guaranteed by governing the infinite amount of solutions and limited to the implementation of a small-scale simulation on a single desktop CPU. Accuracy, consistency and stability were easily controlled by a small data scale. However, the fourth industrial can be described the mathematical process as the advent of cyber-physical systems involving entirely new capabilities for researcher and machines (Xing, 2017). In numerical perspective, the fourth industrial revolution (4iR) required the transition from a uncomplex model and small scale simulation to complex model and big data for visualizing the real-world application in digital dialectical and exciting opportunity. Thus, a big data analytics and its classification are a problem solving for these limitations. Some applications of 4iR will highlight the extension version in terms of models, derivative and discretization, dimension of space and time, behavior of initial and boundary conditions, grid generation, data extraction, numerical method and image processing with high resolution feature in numerical perspective. In statistics, a big data depends on data growth however, from numerical perspective, a few classification strategies will be investigated deals with the specific classifier tool. This paper will investigate the conceptual framework for a big data classification, governing the mathematical modeling, selecting the superior numerical method, handling the large sparse simulation and investigating the parallel computing on high performance computing (HPC) platform. The conceptual framework will benefit to the big data provider, algorithm provider and system analyzer to classify and recommend the specific strategy for generating, handling and analyzing the big data. All the perspectives take a holistic view of technology. Current research, the particular conceptual framework will be described in holistic terms. 4iR has ability to take a holistic approach to explain an important of big data, complex modeling, large sparse simulation and high performance computing platform. Numerical analysis and parallel performance evaluation are the indicators for performance investigation of the classification strategy. This research will benefit to obtain an accurate decision, predictions and trending practice on how to obtain the approximation solution for science and engineering applications. As a conclusion, classification strategies for generating a fine granular mesh, identifying the root causes of failures and issues in real time solution. Furthermore, the big data-driven and data transfer evolution towards high speed of technology transfer to boost the economic and social development for the 4iR (Xing, 2017; Marwala et al., 2017)

High performance large sparse PDEs with parabolic and elliptic types using AGE method on DPCS

The computational analysis of three case studies using parallelization of Alternating Group Explicit (AGE) solver is presented. Based on (2×2) block system and splitting strategy, AGE with Douglas-Richford and Brian variances are applied to simulate the large sparse PDEs applications with parabolic and elliptic types. The applications are heat equation, food dehydration for preservation and breast cancer growth. The AGE method has proved to be stable and suitable for parallel computing as it possesses separately and independently. The performance of AGE is compared with classical iterative methods such as Red Black Gauss Seidel (RBGS) and Jacobi (JB) methods. Since the PDEs applications are large sparse problems, we apply the AGE method in three different applications with three different mathematical models. The parallel implementation is based on SIMD model and supported by distributed memory architecture. Therefore, some numerical analysis and parallel performance indicators are used to validate the superior of parallel AGE method in terms of time execution, speedup, efficiency and effectiveness. As a result, the performances of numerical analysis and parallel evaluation of AGE are found to be effective for solving three case studies in reducing data storage accesses and minimizing communication time on a distributed parallel computer system