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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

Self-help building project helps to change lives
2017-12-15


 Description: Eco house read more Tags: Anita Venter, Start Living Green’, Earthship Biotecture Academy, construction skills 

Anita Venter, lecturer in the Centre for Development Support, with the residents of
the eco friendly house. Photo: Supplied

UFS PhD student Anita Venter did not know it in the beginning, but her doctoral research would eventually change her life and the lives of many others. 

The research was whether South Africa’s housing policies were socially and culturally responsive to grassroots reality in informal settlements. Venter agreed her research approach might have raised a few eye brows, but it was a journey she holds had more benefits than failures. 

Green living
For her case studies, Venter looked at ‘Start Living Green’ as a concept and further examined the implementation models of Earthship Biotecture Academy in New Mexico and Central America and the Long Way Home non-profit organisation in Guatemala. 

These groups train people with no specialised construction skills in applying and managing environmentally sound self-help building projects. Furthermore, their primary objectives were not building-related, but people-centred, with an advocacy role to create social, environmental and educational change through utilising the building technologies. 

It resulted in Venter signing up for a course in Guatemala to get the skills to implement her case studies here at home in Bloemfontein. 

An experimental mud, straw and waste material structure in her back yard grew into similar houses built in informal settlements, through the transfer of knowledge of indigenous building methods.  

Are rickety corrugated iron shacks only alternative?

Her case studies, one in Freedom Square in the Mangaung Metro Municipality, highlighted, among others, baffling tenure insecurities and “tangible conflicts” entrenched between Westernised and African perspectives on home ownership.

Venter says her thesis, in essence, did not oppose existing housing strategies but did challenge the applicability of an economically inclined model as the most appropriate housing option for millions of households living in informal settlements. 

The main findings of the case studies were that self-help building technologies and skills transfer could make a significant contribution to addressing housing shortages in the country; in particular in geographical locations such as the Free State province and other rural areas.

Venter’s own words after her academic endeavour are insightful: “These grassroots individuals’ courage to engage with me in unknown territories, gave me hope in humanity and inherent strength to keep on pursuing our vision of transforming informal settlements into evolving indigenous neighbourhoods of choice instead of only being living spaces of last resort.”

Positive results 
The study has had many positive results. The City of Cape Town is now looking at new innovative building technologies as a result. Most importantly Venter's study will open further discussions that necessarily challenge the status quo views in housing development. 

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