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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

Farmers need to plan grazing better, says UFS expert
2017-02-21

Description: Prof HO de Waal Tags: Prof HO de Waal

Prof HO de Waal, affiliated researcher
at the University of the Free State,
says farmers should save grazing
during the summer months to have
fodder available in the winter and
early spring.
Photo: Theuns Botha,
Landbouweekblad

“Farmers should save veld during the summer months to have grazing available for animals especially in the winter and early spring. Farmers should also adjust livestock numbers timely and wisely according to the available material in the field,” says Prof HO de Waal, professional animal scientist and affiliated researcher in the Department of Animal, Wildlife and Grassland Sciences at the University of the Free State.

He offered this advice as a result of the sporadic and scattered (scant) rainfall of the past couple of summers. “In retrospect we know that this kind of precipitation started in about 2014 and has continued in subsequent summers. In February 2015, it was clear that a major fodder scarcity was developing.”

Existing research methods serve as source of current knowledge
Dr Herman Fouché (Agricultural Research Council) has conducted research on the impact of climate, especially rainfall, on the growth of grass. Sophisticated computer technology developed as far back as the 1980s to – through modelling – predicts the impact of climate on field production during the growing season.

The impact of climate, and more specifically rainfall, on field production has been known to animal and grazing scientists for a long time. Prof De Waal used the modelling results to determine the impact of rainfall on grass as a feeding source for animals.

“Information that emerged from this old research programme could therefore be applied directly to animal production,” says Prof De Waal.

Adjust livestock numbers to availability of grazing
In the summer rainfall areas of South Africa, grass usually grows from the end of August and early September. The growth process is dependent on the transfer of soil moisture, as well as on rainfall during the winter and early spring.

“Livestock numbers should be balanced throughout the year (according to the nutritional needs and production of the animals) with the availability of grazing material – be consistent, not only during certain seasons or when drought is imminent,” is Prof De Waal’s advice to farmers. “Farmers are also encouraged to carefully reduce the number of livestock on grazing and to rather focus their attention and limited resources on the remaining breeding herds (cows and ewes).”

“It is tragic, but unfortunately many farmers will not survive the effects of recent years. Similar climatic conditions will occur, with the same tragic consequences for man and beast. Better planning has to start now.” The assistance of private institutions, individuals, as well as the government, during the severe droughts is gratefully acknowledged.

Spineless cactus pear as solution for scarcity of animal feed
Prof De Waal says spineless cactus pears could be used as a feeding source during droughts. “The effects of a severe drought, or major animal-feed scarcity, are still prevalent in large parts of the subcontinent.” This may act as a catalyst to utilise spineless cactus pears as a feeding source and to be incorporated in the feed-flow programme for livestock on natural grazing.

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