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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

Eugene de Kock, FW de Klerk and forgiveness – Prof Gobodo-Madikizela’s take on gestures of reconciliation
2015-02-06

What Prof Pumla Gobodo-Madikizela, Senior Research Professor in Trauma, Forgiveness and Reconciliation Studies at the University of the Free State, found over the years talking to Eugene de Kock, was a man tortured by his past. By the deeds he has committed.

“As a result he was confronting these – not as a cog in a machine – but as a person who actually did the deed himself,” Prof Gobodo-Madikizela said during an interview [https://soundcloud.com/primediabroadcasting/dr-gobodo-on-de-kock-parole] with Pippa Hudson on Cape Talk. A man taking personal responsibility.

Against the backdrop of De Kock recently granted parole, what, then, is the nature of forgiveness?

“Often people think when they forgive, you forgive and forget. That’s not the point,” Prof Gobodo-Madikizela says. “Forgiving, in fact, I found is the wrong word. We are using forgiveness for a range of responses. What I find useful in this kind of work is to think about how people change, how people are transformed. In other words, to think about our empathic connection to people who are our former enemies.” In other words: to reach a place where both parties can see each other as fellow human beings. “Somehow when a person expresses remorse – in the way Eugene de Kock has done – it opens a door for the different kinds of relationships to that traumatic past,” Prof Gobodo-Madikizela says.

In an article for the Sunday Times, Prof Gobodo-Madikizela refers to the motion to immortalise F W de Klerk by renaming Table Bay Boulevard after him. In this piece, she clearly points out that De Klerk is not without blood on his hands. She agrees with Mayor Patricia de Lille’s support of this tribute to De Klerk, though, when De Lille refers to ‘the spirit of reconciliation that Tata Madiba believed in’.

Justice Minister Michael Masutha – who granted De Kock parole – and De Lille “are right in evoking the memory of Nelson Mandela through these important gestures of reconciliation,” Prof Gobodo-Madikizela remarks. The need to return to Nelson Mandela’s vision, she adds, remains urgent.

Read Prof Gobodo-Madikizela’s full article, published in the Sunday Times, here.
For Prof Gobodo-Madikizela’s response to Eugene de Kock, FW de Klerk and reconciliation, read here.

 

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