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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 arts are experiencing a boom
2013-09-03

 
Dot Vermeulen
3 September 2013

The arts at the University of the Free State are experiencing a boom, with several Kovsie artists achieving on a national platform. Dot Vermeulen, a junior lecturer in the Department of Fine Arts, is the latest UFS artist to be honoured nationally as the winner of the 2013 Sasol New Signatures art award. 

The award is rewarding emerging young artists. The winning entry, entitled “Desperately disciplined,” by Vermeulen, who is currently studying toward her master’s degree in Visual Arts, was chosen from approximately 400 entries. 

Earlier this year, Pauline Gutter, a former Kovsie, won the Absa L’Atelier competition, which is South Africa’s most prestigious art competition. The year before, another former student from our Department of Fine Arts, Elrie Joubert, won the competition. 

Vermeulen says there are brilliant people at the UFS who are active in visual arts at various levels. "People such as Janine Allen-Spies (lecturer in painting) and Angela de Jesus (curator of the Stegmann gallery) are not only good artists, they are also involved with the community and invest a great deal of energy into the development of young artists. From my own experience, I can say that I have benefited a lot from academic scholarships from the UFS in the course of my study career." 

She says her winning entry refers to the relationship between traditional tactile painting and contemporary digital media. "The focus is especially on hidden moments of absorption and correspondence during the art-making process. The painting installation depicts a reading nude figure on a couch. A computer screen is mounted on a stand in front of the painting, animating the same image, while at the same time blocking the view of the painting. In the animation, the nude figure pages through her book from time to time, with the paint and digital drawing marks moving around her. The text “Envoi is typing…” is also animated on the surface of the couch repeatedly. It is suggestive of internet chat boxes, which often pop up on the screen while I am working on my laptop." 

As winner of the Sasol New Signatures art award, Vermeulen won R60 000 and the opportunity of a solo art exhibition in the Pretoria Art Museum. 

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