Personal statement

Faranak Rabiei is a lecturer of School of Engineering, Monash University Malaysia. She received her B.Sc. M.Sc., and Ph.D. degrees in applied mathematics. She worked before as a researcher and senior lecturer at Universiti Putra Malaysia.

Her past research projects were on   computational mathematics, numerical and analytical methods for solving different types of differential equations (i.e.  ordinary differential equation, delay differential equation, volterra-integro differential equation, fractional differential equation, boundary value problems, partial differential equations in fluid dynamics problems). She also has research works on fuzzy logic and fuzzy sets and systems.

Her current research at school of Engineering  Monash University focuses in analysis of  computational fluid dynamics (CFD) particularly for nanofluid  and  Lattice Boltzmann Method (LBM) with Its applications in engineering.

Academic degrees

• Doctor of Philosophy in Applied Mathematics, University Putra Malaysia, 2013
• Master in Applied Mathematics, Azad University Tehran Central Branch, Iran, 2008
• Bachelor of Science in Applied Mathematics, Azad University Tehran Central Branch, Iran, 2004

Professional affiliations

Member of National Professional Bodies

• Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, Malaysia, Research Associate, 2013-2018

Member of International Professional Bodies

• Society for Industrial and Applied Mathematics (SIAM), Researcher, 2015-2018
• European Mathematical Society, Researcher, 2015-2017
• Canadian Applied and Industrial Mathematics Society * Société Canadienne de Mathématiques Appliquées et Industrielles (CAIMS*SCMAI), Researcher, 2015-2016
• Global Science & Technology Forum (GSTF), Researcher, 2014-present
• World Academy of Science, Engineering and Technology (WASET), Researcher, 2014-present

Research Interests

My research work background is on computational mathematics, numerical and analytical methods for solving different types of differential equations (i.e.  ordinary differential equation, delay differential equation, volterra-integro differential equation, fractional differential equation, boundary value problems, partial differential equations in fluid dynamics problems, fuzzy logic and fuzzy sets and systems)

My current research interest at School of Engineering Monash University focuses in analysis of computational fluid dynamics (CFD) particularly for  nanofluid  and Lattice Boltzmann Method (LBM) with Its applications in engineering.

Research Projects

Study of Existence Theory and Numerical Simulation of Initial And Boundary Value Problems for Fractional Differential Equations

Education

Units taught

ENG1090 - Foundation Mathematics

Journal

Naseri Nia, Shayan; Rabiei, Faranak; Rashidi, M. M.; Kwang, T. M.; , 2020, Lattice Boltzmann simulation of natural convection heat transfer of a nanofluid in a L-shape enclosure with a baffle, Results in Physics, Volume: 19, 10.1016/j.rinp.2020.103413

Zabidi, Nur Amirah; Majid, Zanariah Abdul; Kilicman, Adem; Rabiei, Faranak; , 2020, Numerical solutions of fractional differential equations by using fractional explicit adams method, Mathematics, (1-23), Volume: 8, 10.3390/math8101675

Rashidi, M. M.; Rabiei, F.; Nia, S. Naseri; Abbasbandy, S.; , 2020, A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations, International Journal of Applied Mechanics and Engineering, (122-129), Volume: 25, Issue Number: 17344492, 10.2478/ijame-2020-0024

Hosseini, Kamyar; Mirzazadeh, Mohammad; Rabiei, Franak; Baskonus, Haci Mehmet; Yel, Gulnur; , 2020, Dark optical solitons to the Biswas–Arshed equation with high order dispersions and absence of the self-phase modulation, Optik, Volume: 209, Issue Number: 00304026, 10.1016/j.ijleo.2020.164576

Hosseini, K.; Osman, M. S.; Mirzazadeh, M.; Rabiei, F.; , 2020, Investigation of different wave structures to the generalized third-order nonlinear Scrödinger equation, Optik, Volume: 206, Issue Number: 00304026, 10.1016/j.ijleo.2020.164259,

Ali, Zeeshan; Rabiei, Faranak; Shah, Kamal; Khodadadi, Touraj; , 2020, Qualitative analysis of fractal-fractional order COVID-19 mathematical model with case study of Wuhan, Alexandria Engineering Journal, Issue Number: 11100168, 10.1016/j.aej.2020.09.020

Rabiei, Faranak; Hamid, Fatin Abd; Majid, Zanariah Abd; Ismail, Fudziah; , 2019, Numerical solutions of volterra integro-differential equations using general linear method, Numerical Algebra, Control and Optimization, (433-444), Volume: 9, Issue Number: 21553289, 10.3934/naco.2019042

Majid, Zanariah Abdul; Rabiei, Faranak; Hamid, Fatin Abd; Ismail, Fudziah (2019) Fuzzy volterra integro-differential equations using general linear method, Symmetry, Volume: 11, 10.3390/sym11030381

Hosseini, K.; Bekir, A.; Rabiei, F. (2019) An effective technique for the conformable space-time fractional ew and modified ew equations, Nonlinear Engineering, (157-163), Volume: 8, Issue Number: 21928010, 10.1515/nleng-2017-0025

Isa, Syahirbanun; Majid, Zanariah Abdul; Ismail, Fudziah; Rabiei, Faranak (2018) Diagonally implicit multistep block method of order four for solving fuzzy differential equations using Seikkala derivatives, Symmetry, Volume: 10, 10.3390/sym10020042

Rabiei, Faranak; Abd Hamid, Fatin; Rashidi, Mohammad M.; Ismail, Fudziah (2017) Numerical simulation of fuzzy differential equations using general linear method and B-series, Advances in Mechanical Engineering, (1-16), Volume: 9, Issue Number: 16878132, 10.1177/1687814017715419

Hussain, Kasim Abbas; Ismail, Fudziah; Senu, Norazak; Rabiei, Faranak (2017) Fourth-order improved runge–kutta method for directly solving special third-order ordinary differential equations, Iranian Journal of Science and Technology, Transaction A: Science, (429-437), Volume: 41, Issue Number: 10286276, 10.1007/s40995-017-0258-1

Balali, Moslem; Rezai, Abdalhossein; Balali, Haideh; Rabiei, Faranak; Emadi, Saeid (2017) Towards coplanar quantum-dot cellular automata adders based on efficient three-input XOR gate, Results in Physics, (1389-1395), Volume: 7, 10.1016/j.rinp.2017.04.005

Hussain, Kasim Abbas; Ismail, Fudziah; Senu, Norazak; Rabiei, Faranak; Ibrahim, Rabha (2015) Integration for special third-order ordinary differential equations using improved Runge-Kutta direct method, Malaysian Journal of Science, (172-179), Volume: 34, Issue Number: 13943065, https://www.scopus.com/record/display.uri?eid=2-s2.0-85019692484&origin=resultslist

Rabiei, Faranak; Ismail, Fudziah; Senu, Norazak (2014) Exponentially-fitted runge-kutta nystrom method of order three for solving oscillatory problems, Malaysian Journal of Mathematical Sciences, (17-24), Volume: 8, Issue Number: 18238343, https://www.scopus.com/record/display.uri?eid=2-s2.0-85012131879&origin=resultslist

Abasi, Naghmeh; Suleiman, Mohamed Bin; Ibrahim, Zarina Bibi; Musa, Hamisu; Rabiei, Faranak (2014) Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations, ScienceAsia, (375-378), Volume: 40, Issue Number: 15131874, 10.2306/scienceasia1513-1874.2014.40.375

Rabiei, Faranak; Ismail, Fudziah; Suleiman, Mohamed (2013) Improved runge-kutta methods for solving ordinary differential equations, Sains Malaysiana, (1679-1687), Volume: 42, Issue Number: 01266039, https://www.scopus.com/record/display.uri?eid=2-s2.0-84887661064&origin=resultslist

Rabiei, Faranak; Ismail, Fudziah; Ahmadian, Ali; Salahshour, Soheil (2013) Numerical solution of second-order fuzzy differential equation using improved runge-kutta nystrom method, Mathematical Problems in Engineering, Volume: 2013, Issue Number: 1024123X, 10.1155/2013/803462

Rabiei, Faranak; Ismail, Fudziah; Norazak, S.; Seddighi, S. (2012) Accelerated Runge-Kutta Nystrom method for solving autonomous second-order ordinary differential equations y″ = f(y), World Applied Sciences Journal, (1549-1555), Volume: 17, Issue Number: 18184952, https://www.scopus.com/record/display.uri?eid=2-s2.0-84894343171&origin=resultslist

Nourouzi, Mohsen M.; Chuah, Teong G.; Choong, Thomas S.Y.; Rabiei, F. (2012) Modeling biodegradation and kinetics of glyphosate by artificial neural network, Journal of Environmental Science and Health - Part B Pesticides, Food Contaminants, and Agricultural Wastes, (455-465), Volume: 47, Issue Number: 03601234, 10.1080/03601234.2012.663603

Rabiei, Faranak; Ismail, Fudziah (2012) Fifth-order improved Runge-Kutta method with reduced number of function evaluations, Australian Journal of Basic and Applied Sciences, (97-105), Volume: 6, Issue Number: 19918178, https://www.scopus.com/record/display.uri?eid=2-s2.0-84859876917&origin=resultslist

Book

Rabiei, Faranak; Ismail, Fudziah; Arifin, Norihan; Emadi, Saeid; , 2011, Third order accelerated Runge-Kutta Nyström method for solving second-order ordinary differential equations, Communications in Computer and Information Science, (204-209), Volume: 253 CCIS, Issue Number: 18650929, 10.1007/978-3-642-25462-8_17,

Conference

Balali, Moslem; Rezai, Abdalhossein; Balali, Haideh; Rabiei, Faranak; Emadi, Saeid (2017) A novel design of 5-input majority gate in quantum-dot cellular automata technology, ISCAIE 2017 - 2017 IEEE Symposium on Computer Applications and Industrial Electronics, (13-16), 10.1109/ISCAIE.2017.8074941

Ismail, Ainathon; Rabiei, Faranak (2017) Multivalue-multistage method for second-order ODEs, AIP Conference Proceedings, Volume: 1870, Issue Number: 0094243X, 10.1063/1.4995927

Hamid, Fatin Nadiah Abd; Rabiei, Faranak; Ismail, Fudziah (2016) Composite group of explicit Runge-Kutta methods, AIP Conference Proceedings, Volume: 1739, Issue Number: 0094243X, 10.1063/1.4952537

Hussain, Kasim; Ismail, Fudziah; Senu, Norazak; Rabiei, Faranak (2016) Optimized fourth-order Runge-Kutta method for solving oscillatory problems, AIP Conference Proceedings, Volume: 1739, Issue Number: 0094243X, 10.1063/1.4952512

Rabiei, Faranak; Ismail, Fudziah; Emadi, Saeid (2016) Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method, Springer Proceedings in Mathematics and Statistics, (167-177), Volume: 124, Issue Number: 21941009, 10.5176/2251-1911_CMCGS14.18_15

Rabiei, Faranak; Ismail, Fudziah (2014) Fourth order 4-stages improved Runge-Kutta method with minimized error norm, AIP Conference Proceedings, (153-158), Volume: 1613, Issue Number: 0094243X, 10.1063/1.4894341

Local grants

• Study Of Existence Theory And Numerical Simulation Of Initial And Boundary Value  Problems For Fractional Differential Equations, Prof Zanariah Abdul Majid, Dr. Faranak Rabiei, 2018-2020, Grant Putra/ Research Management Center, Universiti Putra Malaysia, RM 150,000
• A General Linear Method on Solving Fuzzy Differential Equations, Dr Faranak Rabiei, Prof Fudziah Ismail, 2016-2018, Grant Putra/ Research Management Center, Universiti Putra Malaysia, RM15,000
• Study of General Linear Nystrom Method for Solving Second Order Ordinary Differential Equations, Dr. Faranak Rabiei, Prof Fudziah Ismail, 2016-2018, Grant Putra/ Research Management Center, Universiti Putra Malaysia, RM20,000
• Study of variable step-size multistage-multivalue methods for solving ordinary differential equations, Dr Faranak Rabiei, Prof Fudziah Ismail, Assoc Prof Norihan Md Arifin, 2013-2017, Ministry of Higher  Education (FRGS), RM69,000
• Study of variable step size BDF method for solving ordinary differential equations, Dr Faranak Rabiei, Prof Fudziah Ismail, 2013-2016, Grant Putra/ Research Management Center, Universiti Putra Malaysia, RM 40,800

Current supervision

Nafsiah Md lazim

General Linear Methods For Solving Volterra Integro-Differential Equations

2014-present

Universiti Putra Malaysia

Syahirbanun Binti Isa

Multistep Block Method For Solving Ordinary And Fuzzy Differential Equations

Universiti Putra Malaysia

Completed supervision

Fatin Nadiah

General Linear Methods For Solving Fuzzy Differential Equations

2018

Universiti Putra Malaysia

Kasim Abbas Hussain

Improved Runge-Kutta Nystrom Type  Method For Solving Second Order  Ordinary Differential Equation

2017

Universiti Putra Malaysia

Nurul Atikah Bt Mohamed

Solving Voltra Integro Differential Equation Using Block-Method

2016

Universiti Putra Malaysia

Chriscella Binti Jalius

Numerical Solutions Of Fredholm Integro- Differential Equations Using Quadrature- Difference Method

2017

Universiti Putra Malaysia

Local Award/Recognition/Exhibition/Stewardship

• Excellence Young Researcher Award - Institute for Mathematical Research, Universiti Putra Malaysia, 2016
• Research Innovation Award - Institute for Mathematical Research, Universiti Putra Malaysia, 2014
• Excellence Performance - Human Resource Development Registrar office of Universiti Putra  Malaysia, 2013-2015
• Invention, Research and Innovation Exhibition (PRPI), Silver Medal - Universiti Putra Malaysia, 2016, Fourth-Order Improved Runge–Kutta Method for Directly Solving Special Third-Order Ordinary Differential Equations.
• Invention, Research and Innovation Exhibition (PRPI), Gold Medal - Universiti Putra Malaysia, 2014, Improved Runge-Kutta Method for Solving Ordinary Differential Equations.
• Invention, Research and Innovation Exhibition (PRPI), Bronze Medal - Universiti Putra Malaysia, 2014, Numerical Solution of Second-order Fuzzy Differential Equations Using Improved Runge-Kutta Method.
• Invention, Research and Innovation Exhibition (PRPI), Silver Medal - Universiti Putra Malaysia, 2012, Modeling Biodegradation and Kinetics of Glyphosate by Artificial Neural Networks.
• Invention, Research and Innovation Exhibition (PRPI), Bronze Medal - Universiti Putra Malaysia, 2012, Removal of Heavy Metals from steel making waste water By Using Electric Are Furnace Slag

International Award/Recognition/Exhibition/Stewardship

• Malaysian Technology Expo (MTE), Bronze Medal - Malaysian Association Research Scientists (MARS), 2016, Improved Runge-kutta Algorithm for Solving differential equations (Software)