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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

Architecture gets unconditional validation
2012-10-15

 Three programmes of the Department of Architecture at the university received an extended unconditional validation from the South African Council for the Architectural Profession (SACAP) and the Commonwealth Association of Architecture (CAA).

The programmes are evaluated every four years and the previous evaluation in 2008 was also unconditional. The programmes that were validated are BAS, BAS (Hons.) and M.Arch. (Prof).

Mr Jonathan Manning, chairperson of the board of eight people that visited the department, says the department’s standards have improved more since the previous visit. He expressed his apprectiation for the departement’s unique specialist approach to alternative building methods, tours, winter schools, the annual Sophia Gray lecture, the good team of lecturers and the impressive Architecture building.

Two members of the board who visited the department are from the CAA.

Mrs Martie Bitzer, Departmental Chairperson, says the validation proves that the programmes are not only recognised nationally but also internationally. “It confirms that the students are at the right place at the right time in terms of the vision of the UFS, namely to be an internationally recognised university.”

The validation of the CAA means that the qualifications are recognised in all the Commonwealth countries.

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