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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

Housing strategy must accommodate special needs
2005-10-17

Dr Mark Napier of the Council for Scientific and Industrial Research (CSIR) 

South Africa’s housing strategy must give attention to people with special needs, including people with disabilities as well as people living with HIV / AIDS and those in poverty.

This was the view expressed by Dr Mark Napier of the Council for Scientific and Industrial Research (CSIR) during his recent presentation to the Housing Research Day organised by the Centre for Development Support (CDS) at the University of the Free State (UFS).

Dr Napier previously worked in the national Department of Housing and was involved in shaping the recently launched “Breaking New Ground” housing strategy of Minister Lindiwe Sisulu. 

He said the changing social and demographic trends in South African society, especially after 11 years of democracy, required more flexibility in housing delivery to address the housing needs of different groups of people.  “For example, there are people who wish to or may be required to be spatially mobile because of their work or other reasons. There are also those communities who are vulnerable to disasters,” he said.

According to Dr Napier, housing delivery faced a number of challenges which needed to be addressed, including:

  • the withdrawal of larger construction firms
  • perceptions of low profit margins in the private sector
  • the slow process of developing an emerging contractor sector
  • access to bridging and other finance
  • the ability to retain capacity and expertise mainly at municipal level
  • the acquisition of well located (especially inner city) land

Dr Napier said the new housing strategy – which is called “Breaking New Ground” – tries to go beyond the provision of basic shelter to the establishment of sustainable settlements. It is also tries to be more responsive to housing demand rather than being supply led.

 The new strategy also allows for greater devolution of power to municipalities in the provision of housing, through accreditation to manage subsidies, Dr Napier said. 

He said a survey of people who had benefited from government’s housing programme had shown mixed results, with beneficiaries reporting a sense of security, independence and pride.  Although the location of the houses was poor and there were increased costs, most beneficiaries said they were better off than before, according to the survey.  Beneficiaries also highlighted the problem that they had very little personal choice between houses, sites or settlements.

There was also the perceived failure of developers and municipalities to repair defective houses or adequately maintain settlements, the survey found.
Many beneficiaries also reported that they felt unsafe in their settlements as well as in their own houses.

Prof Lucius Botes, the director of the Centre for Development Support, said the research day highlighted the Centre’s ability to interact with real problems faced by communities, by government, the private sector and civil society.  “This is how we can ensure that the UFS is engaged through our research with our people’s problems and challenges and enables the UFS as a place of scholarship to assist in finding solutions,” Prof Botes said.

Media release
Issued by:Lacea Loader
Media Representative
Tel:   (051) 401-2584
Cell:  083 645 2454
E-mail:  loaderl.stg@mail.uovs.ac.za
17 October 2005   
 

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