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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

Internet Broadcast Project wins international award
2014-05-05

The Enterprise Video Awards (EVA) named Kovsies’ Internet Broadcast Project (IBP) the winner of the Innovation in Pedagogy category. During a glitzy ceremony on 28 April 2014 in Madison, USA, Edward Musgrave, Deputy Director of the ICTISE Division, took to the stage to receive the award.

The IBP makes use of the best teachers in the Free State to broadcast lessons on more than ten subjects to school learners who do not have access to quality education. And it is not only the learners who benefit. Their teachers receive invaluable training in the process as well.

This remarkable programme provided the judges with plentiful evidence to be named the winner. The IBP team had to come up with highly innovative solutions to overcome the costs of local bandwidth constraints. The result? High definition videos being streamed in real time across a 1Meg line. Simultaneously to 70 centres across the Free State. Added to that is the fact that multiple images are broadcast as one, reaching 43 000 learners and 1 250 teachers per week. To top it all, the broadcast is interactive – the learners can ask questions directly to the teacher during the lesson.

All of this at no cost to the schools.

“It is remarkable for a South African university to receive this international recognition,” said Sarietjie Musgrave, heading up the ICTISE programme at the South Campus. “It raises awareness, not only for the work we do, but also the community work the university does,” she said.

And now the Free State has the highest pass rate of matriculants in South Africa.

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