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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

Kovsie trailblazing track runner sets South African 200 m record
2015-07-16

Photo: IAAF

Wayde van Niekerk became the only South African, and the fourth athlete in the world, to clock sub-20-seconds in a 200 m race on Tuesday 14 July 2015. With this winning time, he became the fourth member of the prestigious quartet, consisting of Michael Johnson, LaShawn Merritt, Isaac Makwala and himself.

The Kovsie gold medallist’s ground-breaking performance saw him beat world-class 200 m specialist and last year's Diamond League race winner, Alonso Edward of Panama.  Van Niekerk crossed the finish line half a metre ahead of Edward, who was followed by Fujmitsu Kenji of Japan in the third place.

Van Niekerk's 19.94-time at the Diamond League meeting in Lucerne (Switzerland) set a national record, and improved on his personal best. In 2010, he claimed the World Junior Championship title in Moncton, Canada, by covering 200 m in 21.02 seconds.

Recently, he made history by defeating the London 2012 Olympic Games champion, Kirani James, of Grenada in the Caribbean.

On 4 July 2015, he surged 0.79 seconds ahead of Kirani in his number five lane, becoming the first African to cover 400m in less than 44 seconds. The Kovsie student won the race at 43.96, occupying 10th place on the International Association of Athletics Federations (IAAF) Diamond League all-time list.

Kovsies were still celebrating the gold medalist’s South African record-setting time of 44.24 on 13 June 2015 when he dominated the Diamond League meeting. At the previous race in New York, Van Niekerk improved on his own national record of 44.38. With an impressive dash to the finish line at that particular event, he surpassed Christopher Brown’s 400 m record.

In addition to the country’s record, Van Niekerk made his name as one of the continent’s record-breakers. On 7 June 2015, he broke the 1986 African 300 m record. Van Niekerk replaced Ivorian Gabriel Tiacoh’s best time of 31.74 with a 31.63 championship win at the Birmingham Diamond League meeting.  Simultaneously, he bettered Morné Nagel’s 2006 South African national record.

Following his outstanding performance, he was positioned in 10th place on the world list in the men’s 300 m.

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