Fuziyah Ishak
Universiti Teknologi MARA
AlgorithmOrder (group theory)Mathematical optimizationMathematical analysisDelay differential equationBlock (data storage)Predictor–corrector methodInterpolationNumerical stabilityVariable (mathematics)Collocation methodDevelopment (differential geometry)Applied mathematicsBlock methodMathematicsComputer scienceAdaptive stepsizeNumerical analysisOrdinary differential equationNumerical partial differential equations
24Publications
5H-index
44Citations
Publications 23
Newest
#1Nurul Hafawati Fadhilah (UiTM: Universiti Teknologi MARA)
#2Mohd Rivaie (UiTM: Universiti Teknologi MARA)H-Index: 8
Last. Nur Idalisa (UiTM: Universiti Teknologi MARA)
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Conjugate Gradient (CG) methods have an important role in solving large scale unconstrained optimization problems. Nowadays, the Three-Term CG method has become a research trend of the CG methods. However, the existing Three-Term CG methods could only be used with the inexact line search. When the exact line search is applied, this Three-Term CG method will be reduced to the standard CG method. Hence in this paper, a new Three-Term CG method that could be used with the exact line search is propo...
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#2Mohd RivaieH-Index: 8
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#1Fuziyah Ishak (UiTM: Universiti Teknologi MARA)H-Index: 5
#2Najihah Chaini (UiTM: Universiti Teknologi MARA)
Fuzzy differential equations (FDEs) play important roles in modeling dynamic systems in science, economics and engineering. The modeling roles are important because most problems in nature are indistinct and uncertain. Numerical methods are needed to solve FDEs since it is difficult to obtain exact solutions. Many approaches have been studied and explored by previous researchers to solve FDEs numerically. Most FDEs are solved by adapting numerical solutions of ordinary differential equations. In...
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#1Nora Baizura Mohd Isa (UiTM: Universiti Teknologi MARA)H-Index: 1
#2Fuziyah IshakH-Index: 5
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#1Norazuwin Najihah Mat Tahir (UiTM: Universiti Teknologi MARA)
#2Fuziyah Ishak (UiTM: Universiti Teknologi MARA)H-Index: 5
Last. Seripah Awang Kechil (UiTM: Universiti Teknologi MARA)H-Index: 7
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Nanofluids have been shown experimentally to have high thermal conductivity. In this study, the convective instabilities in a horizontal viscoelastic nanofluid saturated by porous layer under the influences of gravity and magnetic field are investigated. The linear stability theory is used for the transformation of the partial differential equations to system of ordinary differential equations through infinitesimal perturbations, scaling, linearization and method of normal modes with two-dimensi...
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#1Fuziyah IshakH-Index: 5
#2Mohd Safwan Ramli (UiTM: Universiti Teknologi MARA)H-Index: 2
Most neutral delay differential equations (NDDEs) that appear in real life phenomena cannot be solved analytically. Therefore, scientists and engineers resort for numerical solutions that can be made as accurately as possible. Numerical methods for NDDEs have been of great interests, since the existing methods for ordinary differential equations cannot directly solve the delay terms in NDDEs. Most numerical methods have been developed to approximate only one new value in a single integration ste...
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#1Nora Baizura Mohd Isa (UiTM: Universiti Teknologi MARA)H-Index: 1
#2Fuziyah IshakH-Index: 5
Last. Khairil Iskandar OthmanH-Index: 8
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In this paper, we describe the development of predictor corrector variable stepsize variable order method based on backward differentiation formula. The formula is represented in divided difference form where the coefficients of differentiation are computed by a simple recurrence relation. This representation will reduce the computational cost of recalculating the differentiation coefficients. Numerical results show that this method is reliable, efficient and accurate in solving a wide range of ...
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#1Fuziyah Ishak (UiTM: Universiti Teknologi MARA)H-Index: 5
#2Mohamed Suleiman (UPM: Universiti Putra Malaysia)H-Index: 16
Last. Zanariah Abdul Majid (UPM: Universiti Putra Malaysia)H-Index: 13
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In this article, we describe the development of a two-point block method for solving functional differential equations. The block method, implemented in variable stepsize technique produces two approximations simultaneously using the same back values. The grid-point formulae for the variable steps are derived, calculated and stored at the start of the program for greater efficiency. The delay solutions for the unknown function and its derivative at earlier times are interpolated using the previo...
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