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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

Three OSM students selected for the 2013 World Youth Symphony Orchestra
2013-01-25


Carmi Nel

Elsabe Raath

Maja van Dyk

25 January 2013

Three students from the University of the Free State’s Odeion School of Music (OSM) have proved their mettle. Carmi Viljoen (violin), Elsabé Raath (viola) and Maja van Dyk (viola), have been accepted into the prestigious World Youth Orchestra – an orchestra known worldwide for its quality and the prix de corps itadvances between nations.

Musica Europa, an Italian cultural association, founded the World Youth Orchestra (WYO) in its present guise in 2001. It has close ties with UNICEF and its mission is to combine music with social activities from cultures all over to world in order to enrich the cultural life of all.

Rigorous auditions are held which require applicants to upload video recordings onto a website (Vimeo). An international board of adjudicators subsequently listens to these recordings and select the best.The three OSM students were good enough to make the grade.

These three musicians are also members of the Free State Symphony Orchestra, as well as the MIAGI orchestra that toured Europe successfully last year. They are also outstanding chamber musicians. Carmi and Elsabé, as members of the Junior Odeion String Quartet, have shown that they are on par with international standards and have toured The Netherlands. In 2012, Maja van Dyk had been selected to perform as soloist with the National Youth String Orchestra under the baton of Swedish conductor and violinist, Fredrik Burstedt.

They first heard of the possibility of playing for the WYO through Anmari van der Westhuizen, lecturer at the OSM. Margarite Spies from the KZN Philharmonic Orchestra (KZNPO) had contacted her in search of worthy candidates. A scant three weeks later, they received the good news of their inclusion.

The orchestra, with representatives from five continents, will be touring South Africa this year and no less than nine South Africans have been included. The tour kicks off in Durban, followed by performances in East London, Plettenberg Bay, George, Knysna, Stellenbosch, with a grand finale in the Cape Town City Hall.

Works that will be performed include ‘’Romeo and Juliet’’ by Prokofiev, the irrepressible “Carnival Overture” by Dvorák, Barber’s ‘’Adagio for Strings’’ and part of Mahler’s majestic Fifth Symphony, all under the baton of the dynamic Josep Vicent.

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