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Articles by A.A. Dahalan
Total Records ( 6 ) for A.A. Dahalan
  A.A. Dahalan , N.S.A. Aziz and J. Sulaiman
  This study deals with the application of numerical methods in solving the Fuzzy Boundary Value Problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition to that, the fuzzy linear system will be solved iteratively by using Gauss-Seidel (GS), Full-Sweep Successive Over-Relaxation (FSSOR), Half-Sweep Successive Over Relaxation (HSSOR) and Quarter-Sweep Successive Over Relaxation (QSSOR) iterative methods. Then several numerical experiments are conducted to illustrate the effectiveness of QSSOR iterative method compared with the GS, FSSOR and QSSOR methods.
  A.A. Dahalan , N.A. Shattar and J. Sulaiman
  In this study, the iterative methods particularly families of Alternating Group Explicit (AGE) methods are used to solve finite difference algebraic equation arising from fuzzy diffusion equation is examined. For the proposed problems, family of AGE methods namely Full-Sweep AGE (FSAGE) and Half-Sweep AGE (HSAGE) has been considered to be the generated linear solver. The formulation and implementation of these two proposed methods were also presented. In addition, numerical results by solving two test problems are included and compared with the Full-Sweep Gauss Seidel (FSGS), FSAGE and HSAGE methods to show their performance.
  A.A. Dahalan , N.S.A. Aziz and J. Sulaiman
  In this study, system of linear equation is solved by using iterative method which is family of Alternating Group Explicit (AGE) generated from discretization of two point Fuzzy Boundary Value Problem (FBVPs). In addition, to that the fuzzy linear system has been solved iteratively by using Gauss-Seidel (GS), Full-Sweep AGE (FSAGE), Hall-Sweep AGE (HSAGE) and Quarter-Sweep AGE (QSAGE). Then numerical experiments are carried out onto two examples to verify the effectiveness of the method. Results show that the QSAGE method is superior than the other three methods in terms of execution time, number of iterations and Hausdorff distance.
  A.A. Dahalan , J. Sulaiman and N.S.A. Aziz
  In this study, iterative methods particularly the Alternating Group Explicit (AGE) iterative method is used to solve system of linear equations generated from the discretization of Two-Dimensional Fuzzy Poisson problems (2DFP). The formulation and implementation of the AGE method is also presented. Then numerical experiments are carried out on to two problems to verify the effectiveness of the methods. The results show that the AGE method is superior compared to GS method in terms of number of iterations, execution time and Hausdorff distance.
  A.A. Dahalan , A. Saudi and J. Sulaiman
  In recent years, a significant amount of research on robot path planning problems has been devoted. The main goal of this problem is to construct a collision-free path from arbitrary start location to a specified end position in their environment. In this study, numerical technique, specifically on family of Accelerated Over-Relaxation (AOR) iterative methods will be used in attempt to solve mobile robot problem iteratively. It’s lean on the use of Laplace’s equation to constrain the generation of a potential values. By applying a finite-difference technique, the experiment shows that it is able to generate smooth path between the starting positions to specified destination. The simulation results shows the proposed methods performs faster solution and smoother path compared to the previous research.
  A.A. Dahalan , W.K. Ling , A. Saudi and J. Sulaiman
  Mobile robots have been undergoing constant research and development to improve its capability, especially, in its ability plan its path and move to specified destination in a given environment. However, there is much room for improvement of mobile robot path planning efficiency. This study attempts to improve the path planning efficiency of mobile robots by solving the path planning problems iteratively by using numerical method. This method of solution is based on harmonic function that applies the Laplace’s equation to control the generation of potential function over the regions found in the mobile robot’s configuration space. This study proposed the application of Half-Sweep Modified Accelerated Over-Relaxation (HSMAOR) iterative method to solve the mobile robot path planning problem. By using approximation finite scheme, the experiment was able to produce smooth path planning for the mobile robot to move from its starting point to its goal point. Other than that, the experiment also shows that this numerical method of solving path planning problem is faster and is able to produce smoother path for the mobile robot’s point to point movements.
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