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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

Open Day attracts thousands
2012-05-02

 

Campus was abuzz with prospective students and their parents finding out what Kovsies has to offer.
Photo: Kaleidoscope Studios
1 May 2012

“It is easier to pass Grade 12 today because we don’t have a standard. However, at the University of the Free State, standards are important.”

This was Prof. Jonathan Jansen, Vice-Chancellor and Rector of the UFS’ message when he addressed a packed Callie Human Centre on the Bloemfontein Campus during this year’s Open Day.

“This university is the jewel of the country. Here at Kovsies we take academic standards seriously. You must know who you are in a place where academic standards are extremely important. Anyone can obtain a degree, but here you can get more than a degree. You get an education,” he said to the more than 5 000 learners and parents from across the country.

“It is not only important that you study here in South Africa, but also in other countries. That is why our students study all over the world. You must think out of your comfort zone, have a big heart, achieve great heights and show everyone that you are a Kovsie.

But, it is not all about studying – it is also about being human and reaching out to others. When you come to this university, you will also do other things that will make you proud of being a Kovsie.

Quality looks for quality. Therefore, work hard and study hard because you need to be at a good university,” he said.

The programme consisted of, among others, a spectacular laser show, a performance by Bobby van Jaarsveld and special messages from DW Bester and Sannah Mokone, Rhodes Scholars currently studying at Oxford University in the United Kingdom.

In a pre-recorded message DW, a Ph.D. student in Mathematical Statistics, encouraged prospective students to work hard and persevere. Sannah, doing a Master’s degree in African Studies, said she believes in the future of the African continent. “I believe in our future students and know you can make it.”

Prof. Jansen also introduced some of the university’s recent student achievers such as Jurie Swart, regional winner of the Corobrik Architectural Student of the Year Award; Farzana Samuel, named by the Association of South African Quantity Surveyors (ASAQS) as the most outstanding student in quantity surveying for 2012; and Sibusiso Tshabalala, one of Google’s Top 10 Young Minds.

Richard Chemaly, President of the Central Student Representative Council (CSRC), said that, by coming to Kovsies, prospective students would become the best person they can be. “We have over 70 student organisations to help you take part in student life activities. So, make use of these opportunities,” he said.

The programme concluded with an introduction to the seven faculties by the respective deans.

The estimated 7 000 prospective students and their parents also had the opportunity to visit faculties and the stalls of residences.
 

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