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Overview:
Amirah started her career as an academician in the School of Mathematical Sciences in April 2015. She obtained her BSc and MSc in the area of Mathematics from Universiti Teknologi Malaysia, Skudai, Johor. Then she continued her PhD at the University of Wollongong, Australia and graduated in 2014 in the area of Applied Mathematics.
Her research interest revolves around the area of linear and nonlinear waves, optical solitary waves and differential equations. In recent years, she is teaching Differential Equation 1 as her core subject and Introduction to Mathematical Modeling in alternate semester.
Selected Publications
Solving the nonlinear Schrödinger equation using cubic B-spline interpolation and finite difference methods on dual solitons, Proceedings of the 4th International Conference on Mathematical Sciences (ICMS4) (2017).
Solving nonlinear Benjamin-Bona-Mahony equation using cubic B-spline and cubic trigonometric B-spline collocation methods, Proceedings of the 4th International Conference on Mathematical Sciences (ICMS4) (2017).
Circular dispersive shock waves in colloidal media, J. Nonlinear Optic. Phys. Mat. (2016).
Dispersive shock waves in colloids with temperature dependent compressibility, J. of Nonlinear Optic. Phys. Mat. (2014).
Colloidal solitary waves with temperature dependent compressibility, J. Opt. (2014).
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Research Interests
Solitons
- Modulation theory
- Solitary waves in colloids
- Nonlinear optics
- Dispersive shocked waves
Differential equations
- Ordinary differential equation
- Nonlinear partial differential equation
Light Beam:
A new tool for quantum optics
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Teaching
| No. |
Course Code |
Course Name |
Course Description |
| 1 |
MAT 223 |
DIFFERENTIAL EQUATION 1 |
This course begins with introducing some definitions and terminologies that will be widely used throughout. First-order and higher-order differential equations, along with the methods of solutions and their applications are introduced in mathematical modeling forms. Modeling with higher-order, Laplace transform, and systems of linear first-order differential equations will also be covered. Students will also learn series solutions of linear equations and numerical methods in solving differential equations. |
| 2 |
MSG 328 |
INTRODUCTION TO MODELLING |
The Introduction to Modelling course is designed to provide students with a core and implementable knowledge of how mathematics can be used at the interdisciplinary interface. Students are expected to understand the core principles of mathematical modelling
and at the end of the course, they are willing to model the observable world in terms of a mathematical language.
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Current Supervision
| Level |
Name |
Title |
| Doctorate |
Azhar Ahmad |
Solutions of Solitary Waves Equation |
| Hanis Safirah Saiful Anuar |
Solving Dym Equation using Finite Difference, Quartic B-Spline and Quintic B-Spline Interpolation Method |
| Altaf Abdulkarem Ali Alshawba |
Nonlinear Fractional Partial Differential Equations with their Solitary and Compacton Solutions |
| Che Haziqah Che Hussin |
Approximate analytical method of Differential Transformation Method for high order linear and nonlinear boundary value problem |
| Hytham Awad Hamad Alkresheh |
Approximate Analytical Methods for Ordinary Differential Equations of Fractional Order |
| Masters |
Hafed H Saleh Abdelrahman
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Approximate Analytical Methods for Solving Nonlinear Two-Point Boundary Value Problems |
List of publications:
Published papers:
- Azmi, A., Marchant, T. R., Circular dispersive shock waves in colloidal media, J. Nonlinear Optic. Phys. Mat. 25, 1650044 (2016).
- Azmi, A., Marchant, T. R., Dispersive shock waves in colloids with temperature dependent compressibility, J. of Nonlinear Optic. Phys. Mat., 25 (4), 1-22 (2014).
- Azmi, A., Marchant, T. R., Colloidal solitary waves with temperature dependent compressibility, J. Opt., 16, 055203 (2014).
Conference Proceedings:
- Ahmad A., Azmi, A., Majid, A.A., and Hamid N.N.A., Solving the nonlinear Schrödinger equation using cubic B-spline interpolation and finite difference methods on dual solitons, Proceedings of the 4th International Conference on Mathematical Sciences (ICMS4), Putrajaya, Malaysia, 15-17 November 2016, 020045 (2017).
- Mohd Rahan, N.N., Ishak, S.N.S., Hamid, N.N.A., Majid, A.A., and Azmi, A., Solving nonlinear Benjamin-Bona-Mahony equation using cubic B-spline and cubic trigonometric B-spline collocation methods, Proceedings of the 4th International Conference on Mathematical Sciences (ICMS4), Putrajaya, Malaysia, 15-17 November 2016, 020032 (2017).
