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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

Shimlas now second on Varsity Cup log
2015-02-25

After scoring nine tries to none to establish a 57-0 win over the Central University of Technology’s (CUT) Ixias in round three of the 2015 Varsity Cup Rugby Tournament, the UFS Shimlas are now second on the overall log.

Despite thunder showers in Bloemfontein on the evening of Monday 23 February, the match at the CUT Rugby Stadium continued. Shimlas’ Arthur Williams opened the scoreboard early with the first try of the evening, after getting his hands on a loose ball to break through the CUT defense line. Only four minutes later, Shimlas’ flank Gerhard Olivier scored another try. Both of these tries were successfully converted by Niel Marais, putting Shimlas in a 16-0 lead within less than seven minutes.

By halftime, the Shimlas’ lead had increased to 39-0. Daniel Maartens started the second-half scoring for the UFS when he crossed the try line in the 46th minute to secure Shimlas’ seventh try. After another successful conversion kick by Marais, the scoreboard read 47-0.

The match began to lose its spark as handling errors and ill-discipline became the order of the day. CUT were reduced to 14 men for the second time in the match, when Boetie Makethlo was sent to the sin bin in the 75th minute for an infringement at the breakdown, inches away from his try line.

Maartens went over the try line again in the 78th minute, scoring Shimlas’ eighth try in the match and taking his team’s score beyond the 50 mark. Shimlas managed yet another try in the last minute, with Niell Jordaan diving over the try line for old time’s sake.

Although the Shimlas’ 2015 Varsity Cup started off with a 29-29 draw against the University of Pretoria’s Tuks in Bloemfontein, they returned the following week to clinch a 24-0 win against the University of Johannesburg at the UJ Stadium. Apart from Tuks, who is at this stage on top of the log, no team has scored against Shimlas thus far in the 2015 Varsity Cup.

Up next, Shimlas will face the Stellenbosch University’s Maties side at Shimla Park in Bloemfontein for round four of the tournament on Monday 2 March 2015.

Our Player that Rocks: Niell Jordaan

Shimlas’ point scorers:

Tries: Arthur Williams, Gerhard Olivier (2), Marco Klopper, Vuyani Maqina (2), Daniel Maartens (2), Niell Jordaan
Conversion kicks: Niel Marais 4

 

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