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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

International ties for OSM
2013-08-21

 

Prof Nicol Viljoen in the historic Teatr Zdrojowy in Walbrzych, Poland
20 August 2013


Profs Nicol and Martina Viljoen from the Odeion School of Music (OSM) recently undertook a very successful trip to Europe where Prof Nicol Viljoen rendered two solo piano recitals in Poland. They also delivered a joint paper at a congress in Budapest.

The first of the two recitals were held in Crakow at the famed Zespol Panstwowych School of Music. At this event, Prof Viljoen essentially recited Chopin Mazurkas and was invited to repeat this performance in Poland in the future.

The second piano recital was in the historicTeatr Zdrojowy im. Henryka Wieniawskiego in Walbrzych. This concert included Preludes, Mazurkas, as well as the Ballad in G minor by Chopin. After the Mazurkas, the audience rewarded Prof Viljoen with a standing ovasion – and again at the end of the concert. As a result of this, the chief organiser of the event, Jerzy Kosek, who is also the conductor of the Filharmonia Sudecka, invited Prof Viljoen to perform as soloist with his orchestra next year.

Kosek also invited Conducting students at the OSM to work with the Filharmonia under his leadership on an exchange basis. He indicated that he would like to strengthen the ties with the University of the Free State and the Odeion School of Music. Two members of the Filharmonia Sudecka are currently doctoral students in Performing Arts at the OSM, namely Karol Legierski (concertmaster) and Marianne Cilliers (first violin), while the co-concertmaster, Dorota Graca, is in the process of registering for doctoral studies at the OSM.

The paper delivered by Profs Viljoen in Budapest, formed part of the interdisciplinary congress, ‘The Arts in Society,’ where more than twenty countries were represented. Their paper dealt with the post-apartheid oeuvre of the South African composer, Hans Huyssen. Charla Schutte, another doctoral student at the OSM, delivered a paper on an interpretation of indoctrination songs on the basis of an analytical model by the philosopher Johann Visagie.

During the trip, Prof Martina Viljoen also had a productive meeting with the executive manager of Common Ground Publishers, an academic publisher based in the USA, with a view to publish work from the OSM.

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