Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 23
Page No. 8855 - 8861

Application of Half-Sweep MAOR Iterative Method on Autonomous Robot Path Planning in Static Indoor Environment

Authors : A.A. Dahalan, W.K. Ling, A. Saudi and J. Sulaiman

References

Abdullah, A.R. and N.H.M.Ali, 1996. A comparative study of parallel strategies for the solution of elliptic PDE’s. Parallel Algorithms Appl., 10: 93-103.
CrossRef  |  Direct Link  |  

Abdullah, A.R., 1991. The four point Explicit Decoupled Group (EDG) method: A fast poisson solver. Int. J. Comput. Math., 38: 61-70.
CrossRef  |  Direct Link  |  

Akishita, S., T. Hisanobu and S. Kawamura, 1993. Fast path planning available for moving obstacle avoidance by use of Laplace potential. Proceedings of the 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'93) Vol. 1, July 26-30, 1993, IEEE, Yokohama, Japan, pp: 673-678.

Connolly, C.I., J.B. Burns and R. Weiss, 1990. Path planning using Laplace's equation. Proceedings of the IEEE International Conference on Robotics and Automation, Volume 3, May 13-18, 1990, Cincinnati, OH., pp: 2102-2106.

Connolly, C.I., J.B. Burns and R. Weiss, 1990. Path planning using Laplace's equation. Proceedings of the IEEE International Conference on Robotics and Automation, Volume 3, May 13-18, 1990, Cincinnati, OH., pp: 2102-2106.

Dahalan, A.A., J. Sulaiman and M.S. Muthuvalu, 2014. Performance of HSAGE method with Seikkala derivative for 2-D fuzzy poisson equation. Applied Math. Sci., 8: 885-899.
Direct Link  |  

Dahalan, A.A., J. Sulaiman and N.S.A. Aziz, 2017. Age iterative method applied to 2D fuzzy poisson equation (application method of age placement against poisson 2D blur equation). J. Eng. Appl. Sci., 12: 4437-4441.
CrossRef  |  Direct Link  |  

Dahalan, A.A., M.S. Muthuvalu and J. Sulaiman, 2013. Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method. AIP Conf. Proc., 1557: 103-107.
CrossRef  |  Direct Link  |  

Dahalan, A.A., M.S. Muthuvalu and J. Sulaiman, 2015. Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems. AIP Conf. Proc., Vol. 1682. 10.1063/1.4932412

Dahalan, A.A., M.S. Muthuvalu and J. Sulaiman, 2016. QSAGE iterative method applied to fuzzy parabolic equation. AIP Conf. Proc., Vol. 1705. 10.1063/1.4940272

Evans, D.J. and W.S. Yousif, 1986. Explicit group iterative methods for solving elliptic partial differential equations in 3-space dimensions. Int. J. Comput. Math., 18: 323-340.
CrossRef  |  

Evans, D.J., 1985. Group explicit iterative methods for solving large linear systems. Int. J. Comput. Math., 17: 81-108.
CrossRef  |  

Evans, L.C., 1998. Partial Differential Equations, Graduate Studies in Mathematics. American Mathematical Society, USA.

Hachour, O., 2008. Path planning of autonomous mobile robot. Int. J. Syst. Appl. Eng. Dev., 2: 178-190.
Direct Link  |  

Ibrahim, A. and A.R. Abdullah, 1995. Solving The two dimensional diffusion equation by the four point Explicit Decoupled Group (EDG) iterative method. Int. J. Comput. Math., 58: 253-256.
CrossRef  |  Direct Link  |  

Ibrahim, A., 1993. The study of the iterative solution of boundary value problem by the finite difference methods. Ph.D Thesis, National University of Malaysia, Bangi, Malaysia.

Khatib, O., 1985. Real-time obstacle avoidance for manipulators and mobile robots. Proceedings of the 1985 IEEE International Conference on Robotics and Automation Vol. 2, March 25-28, 1985, IEEE, St. Louis, Missouri, pp: 500-505.

Saudi, A. and J. Sulaiman, 2013. Robot path planning using Laplacian Behaviour-Based Control (LBBC) via half-sweep SOR. Proceedings of the 2013 International Conference on Technological Advances in Electrical, Electronics and Computer Engineering (TAEECE’13), May 9-11, 2013, IEEE, Konya, Turkey, ISBN:978-1-4673-5612-1, pp: 424-429.

Sulaiman, J., M. Othman and M.K. Hasan, 2009. Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equation. Proceedings of the International Conference on Computational Science and its Applications, June 29-July 2, 2009, Seoul, Korea, pp: 764-774.

Sulaiman, J., M.K. Hasan and M. Othman, 2004. The half-sweep iterative alternating decomposition explicit (HSIADE) method for diffusion equations. Comput. Inform. Sci., 3314: 57-63.
CrossRef  |  

Yousif, W.S. and D.J. Evans, 1995. Explicit de-coupled group iterative methods and their parallel implementations. Paral. Algorithms Appli., 7: 53-71.
CrossRef  |  

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