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Articles by Jumat Sulaiman
Total Records ( 7 ) for Jumat Sulaiman
  Elayaraja Aruchunan and Jumat Sulaiman
  Problem statement: This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena contain mathematical formulations such integro-differential equations which are arise in fluid dynamics, biological models and chemical kinetics. In fact, several formulations and numerical solutions of the linear Fredholm integro-differential equation of second order currently have been proposed. This study presented the numerical solution of the linear Fredholm integro-differential equation of second order discretized by using finite difference and trapezoidal methods. Approach: The linear Fredholm integro-differential equation of second order will be discretized by using finite difference and trapezoidal methods in order to derive an approximation equation. Later this approximation equation will be used to generate a dense linear system and solved by using the Generalized Minimal Residual (GMRES) method. Results: Several numerical experiments were conducted to examine the efficiency of GMRES method for solving linear system generated from the discretization of linear Fredholm integro-differential equation. For the comparison purpose, there are three parameters such as number of iterations, computational time and absolute error will be considered. Based on observation of numerical results, it can be seen that the number of iterations and computational time of GMRES have declined much faster than Gauss-Seidel (GS) method. Conclusion: The efficiency of GMRES based on the proposed discretization is superior as compared to GS iterative method.
  Awang Bono , Jumat Sulaiman and S. Rajalingam
  The injection molding process is used to produce thin-walled plastic products for a wide variety of applications. However, the difficulty in adjusting optimum process parameters setting may cause defects on injected moulded parts such as shrinkage. A study was conducted for the determination of the optimal injection moulding process parameters which will minimize the shrinkage defect on a thin-shell plastic product for cell phone housing component. The machine process setting in use currently caused shrinkage where variations in the dimensions of the length and width below the specification limit. Therefore the experiment is needed to identify the optimal process parameters that could be set to maintain the length and width dimensions closest to the target value with smallest possible variation. The process parameters selected in this study are the mould temperature, injection pressure and screw rotation speed. The Response Surface Method (RSM) of analysis was used for the determination of the optimal moulding process parameters. The significant factors affecting the responses were identified from ANOVA. Statistical results and analysis are used to provide better interpretation of the experiment. Verification runs with the optimal process parameter setting found by RSM determined that the shrinkage defect can be minimized.
  Mohammad Khatim Hasan , Jumat Sulaiman and Samsul Arifin Abdul Karim
  Problem statement: This research reported on new approach to improve speed of simulation time for free space electric wave propagation from an antenna. The existing method, Finite-Difference Time-Domain (FDTD) have been proven to solve the problem accurately, however, one of the drawbacks of the method was it needs a long processing time to simulate problem. Research efforts to increase the speed of simulating the problem are needed. Approach: Our recent research had found a new method with lower complexity and can simulate the problem faster than the existing FDTD algorithm. The method was developed by implementing the second order accurate discretization technique. But the method, which was named as the High Speed Low order finite-difference time-domain, had lower accuracy than the existing one. In this study, we reported on our new finding which used the O(h4) truncation error rather than O(h2) in our previous method. Results: The result found that we managed to recover the error and the new method still had computational complexity lower than the finite-difference time-domain. Conclusion: In terms of computation time, the new method also proved to solve problem faster than the conventional FDTD scheme with 9.03-63.66% reduction in computation time and also faster than the HO-FDTD with 82.48-88.99% reduction in computation time.
  Samsul Ariffin Abdul Karim , Mohd Tahir Ismail , Mahmod Othman , Mohd Faris Abdullah , Mohammad Khatim Hasan and Jumat Sulaiman
  Missing data imputation is an important task in statistical and sciences discipline. Solar radiation data obtained from the solar tracker does not complete and some data are missing due to human error in handling the instrument or the failure of the instrument. Thus, missing data imputation can be used to predict and estimate the unknown value of the solar radiation at certain time. This study will estimate the solar radiation by using rational cubic Ball spline function with three parameters. The interpolating rational Ball spline is able to give good result based on quadratic regression model.
  Mohd Norfadli Suardi , Nurul Zafira Farhana Mohd Radzuan and Jumat Sulaiman
  In this study, we deals with cubic B-spline method to solve two-point boundary value problem. The cubic B-spline approximation equation based on quarter-sweep concept are used to discretize the proposed problem and construct the linear system. The linear system are solved via. the family of SOR iterative methods which is Full-Sweep Gauss-Seidel (FSGS), Full-Sweep Successive Over Relexation (FSSOR), Half-Sweep Successive Over Relexation (HSSOR) and Quarter-Sweep Successive Over Relexation (QSSOR) iterative methods. The performance for the proposed iterative methods are recorded with compared three parameters such as number of iterations, execution time and maximum error. The QSSOR is superior method as compared with FSGS, FSSOR and HSSOR iterative method based on the numerical solution are obtained.
  Nurul Afiqah Basran , Jeng Hong Eng , Azali Saudi and Jumat Sulaiman
  The application of non-linear diffusion equation for image blurring has become a significant study in image processing field. The process is carried out by smoothing the image while preserving the crucial part of the image, i.e., edge, shape and important features using non-linear diffusion equation. However, the classical iterative method to solve the equation requires high number of computations and make the filtering process slower. This study examined 2-EGAOR iterative method as an efficient solver to the image blurring as this method involves two point in one group to solve the linear system with two weighted parameter. For the performance comparison, the results of Successive Over-Relaxation (SOR), Accelerated Over-Relaxation (AOR) and 2-EGAOR iterative methods to develop the equivalent image producing by classical Jacobi method is recorded in this study. The number of iterations and computational time in solving the linear system are used as the evaluation criteria of these iterative methods. Based on the numerical experiment, the findings has shown the 2-EGAOR method able to blurred the image slightly faster as it gives the fewer number of iterations and computational time compared to the other mention methods.
  Azali Saudi , Jumat Sulaiman and Mohd Hanafi Ahmad Hijazi
  This study proposed a robot path planning technique that employs Laplacian Behaviour-Based Control (LBBC) for space exploration which relies on the use of Laplace’s equation to constrain the generation of the potential function of the configuration space of a mobile point-robot. The LBBC provides the Searching algorithm with the capability to escape from flat region, whilst iteration via Four-point Explicit Decoupled Group SOR (4EDGSOR) provides fast computation for solving the Laplace’s equation that represent the potential values of the configuration space.
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