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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

UFS Physics Research Chair receives more funding
2017-11-20


 Description: Prof Hendrik Swart, Physics Research Chair receives more funding Tags: Prof Hendrik Swart, Physics Research Chair receives more funding

Prof Hendrik Swart, Senior Researcher Professor in the
Department of Physics at UFS.
Photo: Charl Devenish

A research project into low-energy lighting using phosphor materials for light emitting diodes (LEDs) at the Department of Physics at the University of the Free State (UFS) has received further recognition. 

The South African Research Chairs Initiative (SARChi) has awarded further funding for the Research Chair in Solid State Luminescent and Advanced Materials situated in the department. Prof Hendrik Swart, a Senior Research Professor in the Department of Physics, says this means that the Chair will carry on receiving funds from SARChi for another five years. The Initiative also awarded Prof Swart in 2012 for the research, which resulted in funding for equipment and among others, bursaries.    

Better light emission in LED’s
The research focuses on better light emission of phosphor powers in LEDs. It is also looking into improving LED displays in flat screens. The research into solar cells has shown that phosphors can also increase their efficiency by increasing the range of light frequencies, which convert into electricity. It also entails that glow-in-the-dark coatings absorb light during the day and emit it at night. 

Prof Swart says over the next five years the research will focus on developing and producing devices that emit better light using the substances already developed. “We need to make small devices to see if they are better than those we already have.” In practical terms, it means they want a farmer’s water pump that works with solar energy to work better with less energy input.” 

Device that simulates sunlight
Prof Swart says the renewal of the Chair’s funding means the department can now get equipment to enhance its research   such as a solar simulator. The solar simulator uses white LEDs whose intensity output and wavelengths can be tuned. The output is measured in number of suns. It enables researchers to work in a laboratory with a device that simulates sunlight.     

According to Prof Swart the long-term benefit of the research will result in more environmentally friendly devices which use less energy, are brighter and give a wider viewing field. 

About 10 postdoctoral researchers are working on the studies done by the Chair in collaboration with the Council for Scientific and Industrial Research. 

The Research Chair Initiative aims to improve the research capacity at public universities to produce high-quality postgraduate students, research and innovative outputs. The criterion for evaluating the department’s Chair includes aspects such as how much development has occurred over the past five years. The assessors look at features such as the number of students the research entity has trained and how many publications the research team has produced.

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