Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method by Mohana Sundaram Muthuvalu, Jumat Sulaiman

“…The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. …”
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Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method by Mohana Sundaram Muthuvalu, Jumat Sulaiman

“…The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. …”
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Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations by Mohana Sundaram Muthuvalu, Jumat Sulaiman

“…In this paper, we investigate the applications of two different quadrature schemes that is repeated trapezoidal (RT) and repeated modified trapezoidal (RMT) schemes via Arithmetic Mean iterative method to solve second kind linear Fredholm integral equations. …”
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Similarity solution of two-dimensional diffusion equations by using gauss-seidel iteration with wave variables transformation by Assis Kamu, H.C. Mun, Chong, Khim Phin, Darmesah Gabda, I.A. Seman, A. Hassan, N.A.J Wilaksono

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Numerical Technique for Autonomous Robot Path Planning Based on QSAOR Iterative Method Using Indoor Environment by A.A. Dahalan, A. Saidi, Jumat Sulaiman

“…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. …”
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Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR by Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Vui, Jackel,Lung Chew

“…With the quarter-sweep technique and the preconditioned iterative method, computing the time-fractional differential equation solutions can be more efficient in terms of the number of iterations and computation time. …”
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First order piecewise collocation solution of fredholm integral equation second type using SOR iteration by N. S. Mohamad, Jumat Sulaiman, N. F. A. Zainal, Azali Saudi

“…In order to obtain the approximation solutions, the combination of SOR iterative method with the first-order piecewise polynomial by collocation with quadrature scheme has shown that performance of SOR method is superior than Jacobi method in terms of number of iterations and time of completion.…”
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Rational finite difference solution of first-order fredholm integro-differential equations via SOR iteration by M.M. Xu, Jumat Sulaiman, Labiyana Hanif Ali

“…In the end, through several numerical examples, the number of iterations, the execution time and the maximum absolute error are compared, which fully illustrated the superiority of SOR method over GS method in solving large dense linear system generated by the CT-3LRFD formula.…”
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The similarity finite difference solutions for two-dimensional parabolic partial differential equations via SOR iteration by N. A. M. Ali, Jumat Sulaiman, N. S. Mohamad, Azali Saudi

“…This paper purposely attempts to solve two-dimensional (2D) parabolic partial differential equations (PDEs) using iterative numerical technique. Also, we determine the capability of proposed iterative technique known as Successive Over- Relaxation (SOR) iteration compared to Gauss–Seidel (GS) iteration for solving the 2D parabolic PDEs problem. …”
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Rotated TOR-5P laplacian iteration path navigation for obstacle avoidance in stationary indoor simulation by Ahmad Dahalan, A'qilah, Saudi, Azali

“…This study attempt to improve the path navigation competence of a mobile robot by using the computational technique, namely the Half-Sweep Two-Parameter Over Relaxation 5-Point Laplacian (HSTOR-5P) method, to solve pathfinding problems iteratively. The harmonic functions, which are the solution of Laplace’s equation, are the sources for generating the potential function of the mobile robot’s configuration space. …”
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Redlich-Kister finite difference solution for two-point boundary value problem by using MKsor iteration by ‪Mohd Norfadli Suardi‬, Jumat Sulaiman

“…The combination of MKSOR iteration method with RKFD discretization scheme was found to be superior compared to other iterations.…”
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Application of four-point newton- EGSOR iteration for the numerical solution of 2d porous medium equations by Chew, Jackel Vui Lung, Jumat Sulaiman

“…By using the Newton method to linearize the nonlinear system, this paper deals with the application of the Four-Point Newton-EGSOR (4NEGSOR) iterative method for solving the 2D PMEs. In addition to that, the efficiency of the 4NEGSOR iterative method is studied by solving three examples of the problems. …”
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The impact of tube current and iterative reconstruction algorithm on dose and image quality of infant CT head examination by Muhammad, N.A., Karim, M.K.A., Harun, H.H., Rahman, M.A.A., Azlan, R.N.R.M., Sumardi, N.F.

“…The examination was performed by using 128 multi-slice CT (Ingenuity Core, Philips, Netherlands) and varying the tube current and iterative reconstruction algorithm (iDose4) levels. …”

Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method by Asaduzzaman, Md., Özger, Faruk, Kilicman, Adem

“…In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. …”
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Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product by Kilicman, Adem, Al-Zhour, Zeyad

“…We define the so-called box convolution product and study their properties in order to present the approximate solutions for the general coupled matrix convolution equations by using iterative methods. Furthermore, we prove that these solutions consistently converge to the exact solutions and independent of the initial value.…”
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A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. by Md Akhir, Mohd Kamalrulzaman, Othman, Mohamed, Suleiman, Mohamed, Sulaiman, Jumat

“…The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. …”
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An Efficient Parallel Quarter-sweep Point Iterative Algorithm for Solving Poisson Equation on SMP Parallel Computer by M., Othman, A. R., Abdullah

“…A new point iterative algorithm which uses the quarter-sweep approach was shown to be much faster than the full-and half- sweep point iterative algorithms for solving two dimensional Poison equation (Othman el at. 1998». …”
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A fast, parallel performance of fourth order iterative algorithm on shared memory multiprocessors (SMP) architecture by Othman, Mohamed, Sulaiman, Jumat

“…The rotated fourth order iterative algorithm of O(h 4) accuracy which was applied to the linear system was introduced by Othman et al. …”
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Threshold-based bit error rate for stopping iterative turbo decoding in a varying SNR environment by Mohamad, Roslina, Harun, Harlisya, Mokhtar, Makhfudzah, Adnan, Wan Azizun Wan, Dimyati, Kaharudin

“…Online bit error rate (BER) estimation (OBE) has been used as a stopping iterative turbo decoding criterion. However, the stopping criteria only work at high signal-to-noise ratios (SNRs), and fail to have early termination at low SNRs, which contributes to an additional iteration number and an increase in computational complexity. …”
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New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations by Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Ismail, Fudziah

“…We present a new third order convergence iterative method for m multiple roots of nonlinear equation. …”
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