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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

Research at the UFS on the acceptability and modern use of earth building in newly settled urban areas can help the poorest of the poor to acquire hou
2003-08-26

The University of the Free State and the Technische Universiteit van Eindhoven in the Netherlands received a research bursary of R316 000 from SANPAD (South African Netherlands Research Programme on Alternatives in Development).

The aim of the research is to determine the public acceptability of sustainable, high quality, earth constructed public and private buildings as an alternative to the conventional way of building with bricks and steel.

“European countries like the Netherlands are far advanced with studies in earth construction and this is why the partnership was formed with the Technische Universiteit van Eindhoven,” says Prof Das Steÿn, Head of Urban and Regional Planning at the UFS and project leader.

Although research regarding mapping, typology and availability of natural and local resources has been done on a national level, little research has been done on the acceptability and the modern use of earth building in newly settled urban areas.

“South Africa has a large housing shortage and traditional methods such as earth building techniques are not used in urban informal housing. Preference is given to corrugated iron sheets and plastic,” says Prof Steÿn.

The use of upgraded earth construction might be more sustainable as far as the environment and the economy is concerned. “If we can make a breakthrough in the development and propagating of these methods it will help the poorest of the poor to acquire housing of a better quality.”

The research team from the UFS consists of Prof Steÿn, Ms Petria Jooste-Smit, Head of the Unit for Earth Construction in the Department of Architecture and Mr Gerhard Bosman of the Department of Architecture.
 

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