

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, IntegroDifferential Equations (IDE), stochastic equations and others. Many physical phenomena contain mathematical formulations such integrodifferential equations which are arise in fluid dynamics, biological models and chemical kinetics. In fact, several formulations and numerical solutions of the linear Fredholm integrodifferential equation of second order currently have been proposed. This study presented the numerical solution of the linear Fredholm integrodifferential equation of second order discretized by using finite difference and trapezoidal methods. Approach: The linear Fredholm integrodifferential 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 integrodifferential 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 GaussSeidel (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 thinwalled 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 thinshell 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, FiniteDifference TimeDomain (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 finitedifference timedomain, had lower accuracy than the existing one. In this study, we reported on our new finding which used the O(h^{4}) truncation error rather than O(h^{2}) 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 finitedifference timedomain. Conclusion: In terms of computation time, the new method also proved to solve problem faster than the conventional FDTD scheme with 9.0363.66% reduction in computation time and also faster than the HOFDTD with 82.4888.99% 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 Bspline method to solve twopoint boundary value problem. The
cubic Bspline approximation equation based on quartersweep 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 FullSweep GaussSeidel (FSGS), FullSweep Successive Over Relexation (FSSOR), HalfSweep
Successive Over Relexation (HSSOR) and QuarterSweep 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 nonlinear 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 nonlinear 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 2EGAOR 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 OverRelaxation (SOR), Accelerated OverRelaxation (AOR)
and 2EGAOR 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 2EGAOR 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 BehaviourBased 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 pointrobot. The LBBC provides the Searching algorithm with the capability to escape from flat region, whilst iteration via Fourpoint Explicit Decoupled Group SOR (4EDGSOR) provides fast computation for solving the Laplace’s equation that represent the potential values of the configuration space. 





