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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

Kovsies beat Pukke at USSA tennis tournament
2010-01-13

 The Kovsies women’s team that participated in last year’s USSA tennis tournament were, from the left, front: Elrien de Villiers and Nicola Dormehl; middle: Rensia Henning and Christine Keyser; back: Jeanne du Plessis and Elizna Barnard.

 

The men who participated in the tournament were, from the left: Willem Steenkamp, PW Holtzhausen, Duke Munro, Janine de Kock (manager), Marnus Kleinhans (coach), Divan Olivier, HB Steyn and Reon Henning.
 

Last year Kovsie tennis concluded on a highlight when the men’s tennis team of the University of the Free State (UFS) won the USSA tournament that was held in Grahamstown for the first time in twenty years. The UFS women’s team also excelled by going through to the final round, where they had to bow the knee before the team of Stellenbosch University.

The result of these excellent achievements was that two of the five players that were selected for the USSA women’s training group were Kovsies. They are Rensia Henning and Christine Keyser. Elrien de Villiers was selected as the player of the tournament but unfortunately she could not be included in the group because she is a Namibian citizen.

The men’s group existed of eight players, of which four are Kovsies. They are Reon Henning, Duke Munro, Willem Steenkamp and PW Holtzhausen.

Members of the USSA training group will participate in training camps, tournaments and trials to prepare for the Confederation of University and College Sport Association (CUCSA) games (where all the Southern Africa countries participate) in Botswana that will take place from 5-11 July 2010. The training group will also participate in the World Student Games in 2011.

The Kovsies men’s team kick-started last year’s USSA tournament by beating the team from the University of Cape Town with 6-1 and later on the same day beating the team from the University of Johannesburg with 5-1. The next day they beat the team from the Tshwane University of Technology with 7-0 and the team of the University of Pretoria with 5-1. According to Ms Janine de Kock from KovsieSport at the UFS this is an excellent achievement, taking into account that Tukkies had ended in second place at the 2008 tournament.

In the semi-finals Kovsies played against the North-West University and beat them with 4-1. After this triumph in the singles matches the organisers decided that the doubles would not be played.

The women’s team won their matches against the Universities of Pretoria, Cape Town, Rhodes, KwaZulu-Natal and the Tshwane University of Technology. The tournament ended with Kovsies and Maties as the only two unbeaten teams and Stellenbosch University walked away with the laurels. The North-West University did not have a women’s team at the tournament at all.
 

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