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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

UFS medical students reach out to the community
2011-04-16

 

The smiles on the children at Beyang Bana Pele Creche in Mangaung were blindingly bright, after their new classrooms and playground were unveiled on Friday 15 April. The creche was renovated by a group of third-year medical students from the UFS.
Photo: Earl Coetzee

A group of third-year medical students from the University of the Free State was responsible for many smiling little faces when they unveiled a entirely renovated crèche to its little students on Friday, 15 April.

Reinhardt Erasmus, Fathima Vawda, Veneshree Govender, Antoi Roets, Riaan Calitz, Motlalepula Mabizela, Tertius Potgieter and Chanel van der Westhuizen were the students responsible for the massive renovation work that went into the Beyang Bana Pele Creché in Mangaung.

The students tackled the project as part of a community service project and ensured that the 30 children who attend the crèche can look forward to coming to a safe healthy environment every day.

According to Riaan Calitz, they started the project at the beginning of the year by doing a needs analysis and talking to the children’s parents and teachers. They also involved the aid of an architect and quantity surveyor to calculate the needs of the crèche.

Next, they had to search for sponsors for their work, and struck it lucky when the Windmill Casino agreed to donate R100 000 to their project. They also managed to raise a further R5 000 as well as approximately R50 000 in goods and services donated by various other companies.

This money was enough to improve the safety at the crèche, install safe gas equipment in the kitchen, improve the insulation to ensure a warm winter, install new playground equipment and host several health and safety workshops.

“It took a lot of late nights and early mornings,” Calitz said. “Some of us also had to return from our holiday early, but it was worth it.”

He says the gratitude from the school’s children and teachers, as well as community members, who would stop and thank them for their help while they were busy working, makes it all worthwhile.

The students plan to stay involved with the crèche and say the renovation plan was drafted in such a way that when they move along, another group can simply pick up from their work with ease.

Mrs Sarah Mothoana, the crèche matron, thanked the students as well as everyone who assisted them in “creating a wonderful, safe and healthy environment for the children.”
 

 

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