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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 had the right attitude, says Scholtz
2016-02-10

 Description: Shimlas first match 2016  Tags: Shimlas

The lively Shimla flanker Daniel Maartens, who was the leading try scorer in the 2015 Varsity Cup, made a good impact as substitute against Ikeys in Cape Town.
Photo: Johan Roux

His rugby team had the right attitude to win in difficult conditions in Cape Town.

This is what Hendro Scholtz, Head Coach of Shimlas, had to say after the University of the Free State (UFS) started its Varsity Cup campaign on 8 February 2016 with a victory of 23-17 over Ikeys.

According to him, the UFS had to sweat hard until the end on a windy Green Mile, which has been the downfall of many opponents before. His substitutes also had a great impact.

Troublesome Cape wind

Shimlas have a tough draw this year, and to start in the Mother City was a huge task. Scholtz and his men have only three home matches and will play against most of the major teams in away matches.

“We knew it would be difficult in Cape Town. With the wind blowing as it does, one can't play as you would like to during the rest of the season,” the coach said.

“The guys had a will to win.”

The former Springbok believes that too much cannot be read from the first round results. The Shimlas will play their second match on 15 February 2016 against Tuks in Pretoria.

Replacements with good impact

Only the prop Rudolph Botha, flanker Fiffy Rampeta, and prop Teunis Nieuwoudt, who started against Ikeys, were involved in the 2015 final against Pukke.

Other big Shimla names, such as the prop Ox Nche, hooker Elandré Huggett, prop Conraad van Vuuren, and flanker Daniel Maartens, were sent onto the field in Cape Town after half-time.

“We had a plan with the replacements for the second half. They made a huge difference,” Scholtz said.

Rampeta was named Man of the Match, but it was Maartens and Co who turned the game in their team's favour in the second half.

Matsoele could be out of action for long

The Shimla fullback, Sechaba Matsoele, had to leave the game against Ikeys early because of a knee injury, and could be out of action for some time.

His scrumhalf, Zee Mkhabela, was also injured (by a blow to the head), so Shimlas will have to keep their fingers crossed for his quick recovery.

Scorers:
Shimlas 23 (7): Tries: Arthur Williams, Nardus Erasmus, Mosolwa Mafuma. Conversions: Stephan Janse van Rensburg (2).
Ikeys 17 (0): Tries: Khanyo Ngcukana, Nathan Nel. Conversion: Hilio de Abreu. Penalty: De Abreu.
Other results (home team first): Tuks 15, Pukke 38; UJ 19, Madibaz 12; Maties 40, CUT 0.

 

 

 

 


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