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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

SA cannot sustain momentum - Boesak
2010-09-02

Photo: Stephen Collett

South Africa finds it increasingly difficult to live up to the challenges facing it as a nation because of its failure to meet its democratic ideals and possibilities, peace and lack of self-belief.

This was according to renowned cleric and former political activist, Dr Allan Boesak, who recently delivered the CR Swart Memorial Lecture, the oldest memorial lecture at the University of the Free State (UFS). His lecture was on the topic Creating moments, sustaining momentum.

He said South Africa had plenty of opportunities to show the whole world what was possible if all the people of this country joined hands and worked together to build a truly united society. However, he said, the country somehow invariably contrived to find its way out of these wonderful possibilities.

He cited events of historical significance like Codesa, the inauguration of Nelson Mandela as the first democratic president of South Africa, the assassination of South African Communist Party leader, Chris Hani; and the rugby and soccer world cups.
To drive his point home about this dismal failure of the country to “sustain momentum”, he alluded to the current public servants’ strike that is gradually crippling public service.

“The public servants’ strike was neither unexpected nor is it completely unjustifiable. Most of us have understanding for the frustration of teachers and health workers. Their demands resonate with most of us, and I think that it is scandalous of SACP fat cats to tell workers to “stop crying like babies,” he said.

He also added to the criticism of the much-maligned decision of the government to spend billions of taxpayers’ money to purchase weapons when there was “no discernible military threat” to the country. He said the greatest threat to the security of the country was poverty, inequality and social cohesion.

“As for the argument that arms sales bring in foreign exchange – how can we be instrumental in killing the poor elsewhere with the intention of feeding our poor, and then our ill-gained profits feed only the already well-fed?” he asked.
“Can we see the hopeless contradiction, the total impossibility of being both the apostle of peace and a merchant of death?”

He also lambasted the Black Economic Empowerment (BEE) policy of the government which he said benefited only those connected to the political aristocracy.

“It couples with the unashamed, in-your-face display of wealth by the privileged elite in this country, the crass materialism of the so-called “bling generation”, and the casual carelessness with which promises to the poor are given and treated. It is only the public symptom of the deep-seated scorn our political elites feel for the poor,” he said.

He said the government’s disdain to the poor was “setting fire to our future”.

“The anger of people on the ground can no longer be denied or ignored, and little by little, the leadership articulating and directing this anger is being estranged from politically elected leadership, and even more disturbing, from our democratic processes,” he said.

He concluded that the country’s difficulty in dealing with race and racism was putting the reconciliation process kick-started by Mandela just over a decade ago, under a threat.
 

 

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