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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

Visually impaired UFS student an inspiration
2016-10-05

Description: Zingisa Ngwenya Tags: Zingisa Ngwenya

Zingisa Ngwenya at the 2016
Spring Graduation Ceremony at the Callie Human
Centre on the UFS Bloemfontein Campus.
Photo: Johan Roux

“Zingisa, I saw the tears streaming down your face when you were being hooded,” said an emotional Dr Khotso Mokhele, Chancellor of the University of the Free State. “And you were not the only one with tears streaming down your face.”
 
Zingisa Ngwenya, a visually impaired BA Communication Science student, was one of those who graduated at the UFS 2016 Spring Graduation on 15 September 2016 at the Bloemfontein Campus. By her side were her guardians, Derek Watts, the presenter of the current affairs TV programme Carte Blanche, and his wife Belinda.

Dream becomes reality with support from community
Watts first met Ngwenya at the Audi Pioneer School Rally in Worcester, Western Cape, in which she was his co-driver. He admired her ability to read all her instructions in braille. “I was inspired by her because she had lost her sight late in her school career,” said Watts at the graduation ceremony. Ngwenya was academically strong and her aspirations to go to university led to the relationship.  

The UFS Centre for Universal Access and Disability Support, the Kirsty Watts Foundation, Gavin Fourie from Richmond, and Symington and De Kok law firm in Bloemfontein helped make Ngwenya’s dream a reality. “We managed the facility for her to do well, but it’s nothing compared to what she has done to get this degree,” Watts said.

Support from Watts family made things possible
Ngwenya will be studying towards a law degree at UFS, as well as working part-time at, Symington and De Kok. “She never bemoans what has happened to her in life. She just looks ahead to make the most of her life,” Watts said.

“Derek and Belinda’s support means everything to me. Without them it would not have been possible because it has really been a struggle, but they believed in me,” Ngwenya said.

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