INVITED SPEAKERS
    PROF. DR. GUO-CHENG WU
Data Recovery Key Laboratory of Sichuan Province,
College of Mathematics and Information Science,
Neijiang Normal University,
CHINA
Google Scholar
Seminar:   Discrete fractional calculus with applications
Abstract Discrete fractional calculus - A new topic in fractional calculus is introduced. Some new features are shown in viewpoint of real-world applications. Chaos and chaos synchronization are considered. Finally, some possible directions are discussed
 



Workshop 1: A concept of fractional difference equations
Abstract Two kinds of fractional difference equations are introduced in this talk. Laplace transform and some properties are presented. And the explicit solutions of the two linear fractional difference equations are obtained. Numerical formulae are presented accordingly.  Finally, generalized fractional sum equations are given by use of discrete Mittag-Leffler functions.
 Workshop 2:  Mittag-Leffler stability analysis of fractional discrete--time neural networks via fixed point technique
Abstract A class of semi-linear fractional difference equations is introduced. The fixed point theorem is adopted to find stability conditions for fractional difference equations. The complete solution space is constructed and the contraction mapping is established by use of new equivalent sum equations whose kernel functions are presented in form of a discrete Mittag--Leffler function of two parameters. Attractivity of fractional difference equations is proved and Mittag--Leffler stability conditions are provided. Finally, the stability results are applied to fractional discrete--time neural networks with and without delay which show the fixed point technique's efficiency and convenience.
 

     
    PROF. DR. ROSLINDA MOHD. NAZAR
School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia

Google Scholar

Seminar: Numerical Solutions and Stability Analysis of Boundary Layer Flow and Heat Transfer in Several Non-Newtonian Fluids
Abstract
In several industries, the knowledge and understanding the behaviour of the non–Newtonian fluid and its manner towards the fluid flow and heat transfer process is essential. Hence, in this study, several boundary layer flow and heat transfer problems over stretching/shrinking surface in various non–Newtonian fluids are considered, namely the special third grade fluid, the viscoelastic fluid, the Powell-Eyring fluid, the Oldroyd-B fluid, and the Jeffrey fluid. The fluid flow within the vicinity of the stagnation-point towards a permeable stretching/shrinking surface that is positioned horizontally and vertically is studied. Other physical effects such as thermal radiation, heat generation/absorption, and mixed convection are also highlighted. Mathematical models which comprise of the system of nonlinear partial differential equations are reduced to the system of nonlinear ordinary differential equations by using the similarity transformations. The MATLAB boundary value problem solver bvp4c is used to solve each system of nonlinear ordinary differential equations numerically to obtain the values for the local skin friction coefficient, the local Nusselt number, besides to produce the velocity and temperature profiles. These physical quantities are used to describe the fluid flow behaviour and heat transfer within the region of the stagnation-point, and they are given in the form of graphs and tables. Further, dual solutions are observable for a certain range of the stretching/shrinking parameter and the mixed convection parameter. An outcome from the stability analysis proved that the upper branch solution is stable while the lower branch solution is unstable. 
 
     
   

 

 PROF. DR. ZANARIAH ABDUL MAJID
Department of Mathematics &
Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
MALAYSIA

Google Scholar

Seminar: Solving Directly Boundary Value Problems For Second Order Delay Differential Equations
Abstract In this research, the multistep block method is proposed for solving directly the boundary value problem for second order delay differential equations. The proposed block method will approximate the solutions at two points simultaneously and will solve the delay differential equations directly without reducing to the system of first order. The shooting technique by using Newton's method will be implemented to compute the guessing values. Some numerical examples are presented to show that the proposed method is capable for solving directly the boundary value problems for delay differential equations. 
     
   

 

 ASSOC. PROF. DR. NOR ASILAH WATI ABDUL HAMID
Department of Communication Technology and Network &
Institut for Mathematical Research (INSPEM)
Universiti Putra Malaysia

Google Scholar
Seminar: Parallel Programming Models for Compute-Intensive Problems in Multi-core Environment
Abstract

High Performance Computing (HPC) can be defined as the practice of combining computing power to attain higher level of performance, aiding one to solve complex tasks in various sectors, namely engineering, science and business efficiently and faster, compared to what a normal computer or workstation might offer. As the number of HPC users grows, various parallel programming models are also developed to fulfil the specific goals and needs of each user. However, with the availability of multiple parallel programming models to be chosen from, users will face with another challenge, on how to choose the best model that meets the specific requirements. Thus, this talk will discuss on various available parallel programming model that used for compute intensive problems, inclusive the latest parallel programming model with GPU, for example Message Passing Interface(OpenMPI), Thread (OpenMP), Threading Building Blocks (TBB), and POSIX threads (Pthreads) as well a hybrid paradigms (MPI+OpenMP and MPI+Pthreads), parallel GPU (OpenACC and CUDA).The discussion will also use matrix multiplication and stencil iterations for the benchmark application.

     
   
  DR. ALI AHMADIAN
Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
43400 Serdang
MALAYSIA
Google Scholar 

Seminar: Introduction to Fractional Calculus: Theory and Applications

Abstract Fractional calculus is a branch of mathematical analysis that studies the possibility of taking noninteger order powers of the differentiation and/or integration operators. Even though the term ”fractional” is a misnomer, it has been widely accepted for a long time. The ability of the models, which contain fractional-order derivative in portraying some physical systems, attracted many mathematicians and scientists to describe dynamical behavior of real life phenomena more accurately than integer-order equations. In this workshop, a brief introduction on fractional calculus with its complete history is addressed and different types of fractional derivatives are reviewed.
 


Workshop: Introduction to programming with MATLAB
Abstract

MATLAB has several advantages over other methods or languages:

  • Its basic data element is the matrix. A simple integer is considered a matrix of one row and one column.  Several mathematical operations that work on arrays or matrices are built-in to the Matlab environment. For example, cross products, dot-products, determinants, inverse matrices.
  • Vectorized operations. Adding two arrays together needs only one command, instead of a for or while loop.
  • The graphical output is optimized for interaction. You can plot your data very easily, and then change colors, sizes, scales, etc, by using the graphical interactive tools.
  • Matlab’s functionality can be greatly expanded by the addition of toolboxes. These are sets of specific functions that provided more specialized functionality. Ex: Excel link allows data to be written in a format recognized by Excel, Statistics Toolbox allows more specialized statistical manipulation of data (Anova, Basic Fits, etc)
In this workshop we aim to briefly introduce how we write our codes in this programming environment with important operations that are very useful for postgraduate and undergraduate students.
 

 
   
ASSOC. PROF. RAHIDZAB TALIB
AKARI Software Asia Pacific Sdn Bhd
   

Workshop: Introduction to Maple Application Programming

Abstract
In this workshop, participants will be introduced to the different ways of using Maple to solve mathematical problems. Participants will also be briefed on the packages available to solve wide range of mathematical problems. Maple's capability of creating interactive document and application will also be part of the exercise in this workshop.