Norma Alias

The AGEB algorithm for solving the heat equation in two space dimensions and its parallelization on a distributed memory machine

In this paper, a computational analysis of parallelized a class of the AGE method based on the Brian variant (AGEB) is presented using (2 × 2) blocks. The resulting schemes are found to be effective in reducing data storage accesses and communication time on a distributed computer system. All the parallel strategies were developed on a cluster of workstations based on Parallel Virtual Machine environment [6]. The experiments were run on the homogeneous cluster of 20 Intel Pentium IV PCs, each with a storage of 20GB and speed of 1.6Mhz. Finally, the results of some computational experiments and performance measurements will be discussed. In conclusion, the communication cost and computational complexity have effected the efficiency of the parallel strategies.

Chronology of DIC technique based on the fundamental mathematical modeling and dehydration impact

A chronology of mathematical models for heat and mass transfer equation is proposed for the prediction of moisture and temperature behavior during drying using DIC (Détente Instantanée Contrôlée) or instant controlled pressure drop technique. DIC technique has the potential as most commonly used dehydration method for high impact food value including the nutrition maintenance and the best possible quality for food storage. The model is governed by the regression model, followed by 2D Fick’s and Fourier’s parabolic equation and 2D elliptic-parabolic equation in a rectangular slice. The models neglect the effect of shrinkage and radiation effects. The simulations of heat and mass transfer equations with parabolic and elliptic-parabolic types through some numerical methods based on finite difference method (FDM) have been illustrated. Intel®Core™2Duo processors with Linux operating system and C programming language have been considered as a computational platform for the simulation. Qualitative and quantitative differences between DIC technique and the conventional drying methods have been shown as a comparative.

A high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equation

We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step to the one dimensional heat equation. As the basis of derivation is the unconditionally stable (4,2) accurate ADI scheme, this method is convergent, computationally stable and highly accurate.

High performance visualization of human tumor detection using WTMM on Parallel Computing System

In the effort to reduce the number of cancer survivor, various technique have been conducted. The major problem is the cancer cannot be detected in the early stage. Majority patients have been diagnosed the cancer at the final level. If the problem can be solved, death because of the cancer can be reduced. Therefore, edge detection of tumor can help radiologist to diagnose the disease at an early stage. This paper focused on the implementation of parallel algorithm for the human tumor edge detection. The objectives of this study is to detect the edge of breast and brain tumor in Mammogram and MRI medical imaging respectively. Edge of the tumors is detected by using Wavelet Transform Modulus Maxima on Parallel Computing System that is used as a platform to compute the parallel algorithm for the edge detection of the tumors. Performance of parallel computer in terms of time processing, speedup and efficiency is reported.

The higher accuracy fourth-order IADE algorithm

˜This study develops the novel fourth-order iterative alternating decomposition explicit (IADE) method of Mitchell and Fairweather (IADEMF4) algorithm for the solution of the one-dimensional linear heat equation with Dirichlet boundary conditions. The higherorder finite difference scheme is developed by representing the spatial derivative in the heat equation with the fourth-order finite difference Crank-Nicolson approximation. This leads to the formation of pentadiagonal matrices in the systems of linear equations. The algorithm also employs the higher accuracy of the Mitchell and Fairweather variant. Despite the scheme’s higher computational complexity, experimental results show that it is not only capable of enhancing the accuracy of the original corresponding method of second-order (IADEMF2), but its solutions are also in very much agreement with the exact solutions. Besides, it is unconditionally stable and has proven to be convergent. The IADEMF4 is also found to be more accurate, more efficient, and has better rate of convergence than the benchmarked fourth-order classical iterative methods, namely, the Jacobi (JAC4), the Gauss-Seidel (GS4), and the successive over-relaxation (SOR4) methods.

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Advances in herbs based products preservation and technologies are very significant in order to reduce post-harvest losses. The dynamic mathematical model of concurrent heat and moisture transfer are being established for the simulation of temperature and moisture distributions inside the herbs material during dehydration potential of herbs in a slab-shaped solid. Mathematical modeling presents the exchange of heat and mass transfer between material and drying air. Finite-difference method (FDM) based on Crank-Nicolson was used to discretise a parabolic type partial differential equations (PDE). The key purpose of this study is to illustrate the simulation of tropical herbs’ dehydration through some numerical methods such as Jacobi, Gauss-Seidel and Red-Black Gauss-Seidel. This study focuses on the implementation of sequential algorithms on the simulation. 3D geometric visualization by COMSOL Multiphysics and graphical numerical results of FDM approximation in mass and heat transfer demonstrate the results of this study. The contribution of this study is a flourishing and modified mathematical simulation in representing the concrete process of dehydration in herbs product based industry. Most thermal and moisture models are empirical rather than theoretical. Therefore, the novelty of this paper is the best sources of thermal and moisture data for the commercial tropical herbs dehydration derived from the mathematical model in order to avoid high prototype costs and to improve inaccurate conditions and process parameters with the advancement of dryer technologies. The computational platform is based on Intel®Core™2Quad processors with MATLAB software. The performance analyses of Numerical methods are presented in terms of execution time, computational complexity, number of iterations, errors, accuracy and convergence rate.

Social Media and its Impact on Academic Performance among University Students

ABSTRACT Social media has been suggested as an effective tool for educational purpose. Therefore, this study is conducted on two theories, constructivism theory and Technology Acceptance Model (TAM). Moreover, this study conducted an analysis of studies dedicated to social media use for collaborative learning and engagement based on previous research problems of models and theories. In addition, this study applied quantitative approach, and the questionnaire was conducted using 340 students. The results show that social media use is useful, enjoyable and easy to use. Moreover, the students had a feeling of satisfaction using it. They believe that social media can be used positively and that it can provide significant interaction, engagement and collaborative learning with respect to the Quran and Hadith, thus improving learners’ performance. The results of this study also revealed the percentage and frequency of the tools of social media used for collaborative learning, sharing, discussion and publishing.

Implementation of finite difference method based on explicit and Crank-Nicolson method to the thermomechanical ice sheet model

Thermomechanical ice sheet model is applied to simulate ice sheet behavior in the Antarctic region. The parameters involved are ice thickness, ice temperature and ice velocity. This model is proposed by Bueler (2012)[1]. It corresponding roughly to the two-dimensional European Ice Sheet Modeling Initiative (EISMENT) experiment and the thermomechanical coupling equation. Thus, the expression of thermomechanical coupling equations is quite simplified. The numerical discretization scheme for the model is explicit and Crank-Nicholson methods. The efficiency of the finite difference methods such as implicit, explicit and Crank-Nicholson methods for solving the partial differential equation (PDE) of thermomechanical ice sheet modeling is also determined. MATLAB has been choosing as the development platform for the implementations since it is well suited for the kind of computations required.

High Performance Nanotechnology Software (HPNS) for Parameter Characterization of Nanowire Fabrication and Nanochip System

This paper presents the high performance nanotechnology software (HPNS) to enable scientific researchers for predicting, visualizing and observing the temperature behavior and some parameters characteristics of nanochip system and nanowire fabrication. The analysis of scientific algorithms and high performance computing are searchable through a user friendly web-based system. This software will involve some mathematical modeling, numerical simulations and high performance computing technology to improve the accuracy of prediction, visualization quality and parallel performance indicators. The parameters involve on the thermal control process of nanowire fabrication are focuses on pressure, density, space, time control. The identification of the parameters influences the process of nanowire fabrication. The next focused are parameters characteristics of nanochip system. The parameters that involve are temperature, electromagnetic wave, space, time and other properties impact of the development of multilayer nanochip system. The implementations of parallel algorithms for solving the Partial Differential Equation of heat transfer and wave motion problems are based on large sparse parabolic and elliptic types. The discretization technique to obtain a large sparse linear system of equations is based on Finite Difference Method. The HPNS will support the supercomputing of numerical simulations and its repository using distributed memory architecture. The performance indicators will investigate the parallel programs using Parallel Virtual Machine (PVM) and C language on Linux operating system in terms of run time, accuracy, convergence, errors, speedup, efficiency and effectiveness. As a conclusion, HPNS will be an alternative software system to support huge computational complexity of the multilayer nanochip system and nanowire fabrication model.

Performance evaluation of multidimensional parabolic type problems on distributed computing systems

Parabolic Partial Differential Equations (PDE) are well suited to multiprocessor implementation. However, the performance of a parallel program can be damaged by the mismatches between the parallelism available in the application and that available in the architecture. Communication cost, memory requirements, execution time, implementation cost, and others from a problem specific function should be considered to estimate a parallel program. In this paper, we present an optimizing technique called granularity analysis to evaluate the parallel algorithms particularly AGE families without degrading the performances. The resultant granularity analysis scheme is appropriate for developing adaptive parallelism of declarative programming languages on multiprocessors. The results recommend that the proposed method can be used for performance estimation of parallel programs. Red Black Gauss Seidel (GSRB) is selected as the benchmark for the differences numerical methods.