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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

Einstein's gravitational waves as creative as Bach's music, says UFS physicist
2016-02-19

Description: Gravitational waves  Tags: Gravitational waves

Profile of the gravitational waves of the colliding black holes.

Prof Pieter Meintjes, Affiliated Researcher in the Department of Physics at the University of the Free State, welcomed the work done by the Laser Interferometer Gravitational-Wave Observatory (LIGO) science team.
 
For the first time, researchers from two of the American Ligo centres, in Washington and Louisiana respectively, observed gravitational waves directly, 100 years after Albert Einstein said they existed. "My study field in astrophysics involves relativistic systems. Therefore, Einstein's view of gravity is crucial to me. I consider the theory as the highest form of human creativity - just like the music of JS Bach. Over the past 100 years, the theory has been tested through various experiments and in different ways.
 
“The discovery of gravitational waves was the last hurdle to overcome in making this absolutely unfaltering. I am therefore thrilled by the discovery. It is absolutely astounding to imagine that the equations used to make the predictions about the gravitational-wave emissions when two gravitational whirlpools collide - as discovered on 14 September 2015 by LIGO - are basically Einstein's original equations that were published way back in 1916 - in other words, 100 years ago.
 
“The LIGO detectors have been operational since the early 1990s, but they had to undergo several stages of upgrades before being sensitive enough to make detections. LIGO is currently in its final stage, and is expected to function at optimal sensitivity only within a year or two. To be able to conduct the measurements at this stage is therefore a fantastic achievement, since much more funding will certainly be deposited in the project,” Prof Meintjes says.

Description: Prof Pieter Meintjes Tags: Prof Pieter Meintjes

Prof Pieter Meintjes
Photo: Charl Devenish

The search for gravitational waves by means of the Square Kilometre Array (SKA) is one of the focus points in research by both Prof Meintjes and PhD student, Jacques Maritz. This involves the study of radio signals from pulsars that might show signs of effects by gravitational waves. They are looking for signs of gravitational waves. The gravitational waves discovered and studied in this manner would naturally vary much more slowly than the signal discovered from the two colliding gravitational waves.
 
The discovery will definitely provide renewed impetus to the Square Kilometre Array (SKA) Project to use the dispersion of pulsar signals, and to search for the impact of gravitational waves on signals as they travel through the universe. According to Prof Meintjes, the SKA will definitely contribute fundamentally to the Frontier research, which will provide a good deal of publicity for the UFS and South Africa, if significant contributions are made by local researchers in this field.

Video clip explaining gravitational waves

 

  • The Department of Physics will present a general, non-technical talk concerning the recent detection of gravitational waves by the 2 Laser Interferometer Gravitational Wave Observatories (LIGO):

Wednesday 24 February 2016
11:00-12:00
New lecture auditorium, Department of Physics

 

 

 

 

 

 

 

 

 

 

 

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