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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

Heidedal-based foundation and UFS host inaugural music concert
2015-12-04

ROC children rock in marimba music
Photo: Valentino Ndaba

Reach Our Community (ROC) Foundation in conjunction with the University of the Free State’s Odeion School of Music (OSM) held its first-ever music concert last month. Children who form part of the foundation’s Afterschool Care programme showed their impressive music skills to their parents and guardians in attendance.

ROC provides support to orphaned and vulnerable children from early childhood through to adolescence in the Heidedal community in Bloemfontein. The foundation strives to address the challenges resulting from factors such as poverty, unemployment, HIV/Aids, single parenting, lack of guardianship, and physical and sexual abuse. In the Afterschool Care programme, the children engage in educational, cultural, and recreational activities.

Going the extra mile

Since 2008, the UFS has successfully partnered with ROC through service learning and community engagement in which students from across all seven faculties participate. Two Music Education and Practice students from the OSM took it upon themselves to continue after their curriculum requirements were met.

Amy Viljoen- now a final-year BMus student, together with fellow student, Petre du Plessis, and their lecturer and programme coordinator, Gerda Pretorius, established the music class project in Heidedal in 2014. The students embarked on weekly trips to ROC, and would spend an hour working on the recorders and marimbas with children from ROC.

This year, Viljoen and Kara-Lynn Crankshaw, a final-year BA Music student, spent eleven months teaching the children music practice and theory, culminating in a concert that both the community and students can be proud of.

“I wanted to do something that was not only meant for educational purposes, but to give back to the community,” said Viljoen.

After having to gather extra chairs because of the influx of community members at the ROC hall, the founder, Patrick Kaars, said he had not expected such a turn-out. “It exceeded my expectations, and it was a dream come true. It meant so much to the children to be exposed to music, and to explore their own capabilities and talents.”

More children will learn how to play other instruments. Currently, the instruments used for the children’s training were purchased second-hand in order to cut costs. New music education specialists, who will join the programme in 2016, will also work with Pretorius to gather additional equipment, and compile learning material.

Kaars is also thrilled about the potential expansion to the music group, now that the concert has become an annual event. The OSM is also in the process of establishing a Centre for Music Development at ROC.

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