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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

Academics should strive to work with students towards publishing, says NRF-rated researcher
2017-07-17

Description: Dr Rodwell Makombe Tags: National Research Foundation University of the Free State Qwaqwa Campus Department of English  

Dr Rodwell Makombe, Y-gegradeerde navorser.
Foto: Thabo Kessah


“The National Research Foundation (NRF) is a prestigious research institution and to be recognised by such an institution means that my work is worthwhile. This alone motivates me to do more research.” This is how Dr Rodwell Makombe reflected on his recent recognition as an NRF-rated researcher – one of the few on the Qwaqwa Campus. He is a Senior Lecturer in the Department of English at the University of the Free State’s Qwaqwa Campus.

“This recognition is indeed an important milestone in my research career. It means that my efforts as a researcher are recognised and appreciated. The financial research incentive will enable me to engage in more research, attend conferences, and so forth,” he said.

Comparing research in the Humanities and Sciences

Dr Makombe’s research area is broadly postcolonial African literature, but he is particularly interested in postcolonial literatures and resistance cultures. He is currently working on a book project entitled Visual Cultures of the Afromontane.

When asked what he thought about Natural Sciences being in the lead as far as research is concerned, he said that this is mainly caused by funding opportunities.

“It means that my efforts as a
researcher are recognised and
appreciated.”

“It is easier to access funding for research in the Natural Sciences than for the Humanities. Researchers in the Humanities usually do research without any form of funding. However, there are also differences in the way research is done in the Sciences than in the Humanities. Science researchers tend to work together on different projects, which make it easier for them to have their names on publications, no matter how small their contribution. This is also connected to the issue of funding,” he added. 

He continued: “Since research in the Humanities is largely unfunded, it is difficult for researchers to establish research groups. Another issue is that most academics in the Humanities do not necessarily teach modules within their research interests. Therefore, they tend to be overloaded with work as they have to do research in one area and teach in another area.”

NRF-rating and funding

For Dr Makombe, the solution to this challenge lies in academics in the Humanities working towards publishing with their students. “This way,” he said, “both the students and the academics will get publications that will help them to get NRF-rating and other forms of research funding. Modules in the Humanities need to be aligned to academics’ research interests to avoid mismatches between teaching and research.” 

He previously worked at the University of Fort Hare and the Durban University of Technology and has published several articles in both local and international journals.

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