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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

PSP allows Dr Thom Wium to develop as an academic
2016-12-26

Description: Matildie PSP Tags: Matildie PSP 

For Dr Matildie Thom Wium, the
rewarding part of teaching is “the
moments of synergy with a group of
students” and when she senses that she
could, for instance, help them to better
understand a music selection.
Photo: Sonia Small

Being part of the Vice-Chancellor’s Prestige Scholars Programme (PSP) has opened doors for Dr Matildie Thom Wium. She is able to better plan her research, and the overseas trips she has to undertake for this helps to develop her skills.

The senior lecturer in the Odeion School of Music (OSM) at the University of the Free State (UFS) says these are some of the advantages the PSP holds for her.

She attended two international conferences this year – in London in January, and in New York in August. Furthermore, she is working on musical analysis with Prof Timothy Jackson at the University of North Texas, US from 12 September 2016 to 31 December 2016. Prof Jackson is a research professor and was one of her PhD promoters.

Conferences contribute to her vision
“I think the PSP is a fantastic initiative,” says Dr Thom Wium, whose husband Daniël Wium is a lecturer in Astrophysics at the UFS. She says the reseach support from the PSP is amazing. “In addition, the writing retreats offered by the PSP help to set time aside during the busy semester to work on articles.”

“I think the PSP is a fantastic initiative.”

The conference in London was on operatic practice in the 19th century. In the US, Dr Thom Wium, who has been working at the UFS since 2007, also participated in a panel discussion on this topic. “It means a lot for my vision as an academic to participate in conferences where I have the opportunity to meet and exchange thoughts with the people whose work I read and cite.”

Involvement in SA equally important

However, she believes that it is equally important to stay involved locally. At the conference of the South African Society for Research in Music, which was hosted by the OSM from 25 to 27 August 2016, she presented a paper on composer Arnold van Wyk and performed a song cycle by him. She did research on Van Wyk for her PhD.

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