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08 March 2022 | Story Andre Damons | Photo Sonia Small (Kaleidoscope Studios)
Prof Abdon Antangana
Prof Abdon Atangana, a Professor of Applied Mathematics in the Institute for Groundwater Studies at the University of the Free State (UFS) and South Africa’s top-ranked scientist in Mathematics, wants to prepare the next generation of African professors.

A new book written by Prof Abdon Atangana, Professor of Applied Mathematics at the Institute for Groundwater Studies at the University of the Free State (UFS), in collaboration with one of his students, on the flow of groundwater, suggests several new and modified models to better predict anomalous behaviours of the flow and the movement of pollution within complex geological formations.

Mathematical Analysis of Groundwater Flow Models is one of two books Prof Atangana published recently that he wrote with his students. The other, Fractional Stochastic Differential Equations: Applications to Covid-19 Modeling, provides a thorough conversation on the underpinnings of COVID-19 spread modelling. He wrote the book with a postdoctoral fellow, Dr Seda Araz Igret from SIIRT University, Turkey. Since 2016 he has published a total number of six books, some of which are still under evaluation by Springer and Elsevier.

Time to prepare next generation of African professors 

This highly cited researcher is excited about collaborating with his students on projects such as these as he feels it is time for him to prepare the way for the next generation of African professors. Prof Atangana is ranked at No 219 in the world rankings and No 1 in South Africa by Research.com, a leading academic platform for researchers. 

According to the platform, which recently released the 2022 Edition of its Ranking of Top 1000 Scientists in the field of Mathematics, the ranking is based on the H-index metric provided by Microsoft Academic and includes only leading scientists with an H-index of at least 30 for academic publications in the field of Mathematics.

“Both books are important for me because they are first-time published books with my own students. There is a time to prepare the way for yourself and a time to prepare ways for the next generation. It is time for me to prepare the way for the next generation of African professors. I wish that the next time this list (https://research.com/scientists-rankings/mathematics/za) [is released] many of my students [will] appear,” says Prof Atangana.

About his book with Dr Igret, he says it presents the dynamic of COVID-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours, which resemble power law, fading memory, crossover, and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the world. 

“The content coverage includes a brief history of COVID-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes,” says Prof Atangana.

Mathematical analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modelling, says Prof Atangana. It includes features such as:
• Modified numerical and analytical methods for solving new and modified models for groundwater flow and transport 
• New flow and transform models for groundwater transport in complex geological formations 
• Examination of fractal and crossover behaviours and their mathematical formulations

Top-ranking scientist 

Prof Atangana was also recently elected as a fellow of The World Academy of Sciences (TWAS) and received the World Academy of Sciences Award for Mathematics (TWAS -Mohammad A Hamdan, 2020) on 1 November 2021.

Very recently, he was also ranked No 1 in the world in Mathematics, No 186 in the world in all the fields, and No 1 in Africa in all the fields, according to the Stanford list of 2% single-year table.

He was also named among the top 1% of scientists on the global Clarivate Web of Science list. Fewer than 6 200 or 0.1% of the world’s researchers were included on this list in 2019, 2020 and 2021, with fewer than 10 of the scientists hailing from South Africa. 

“While my name is ranked No 1 in South Africa and No 219 in the world, this shows the impact of my research that has been done since 2013. It is worth noting that this ranking disadvantages younger researchers. For example, I got my first publication in 2013 but the researcher who was ranked No 1 started in 1972. To make the ranking fair, the total H-index should be divided by the number of years of publication. I am very proud to see that despite this disadvantage I am still topping in South Africa and am No 219 in the world.”

News Archive

Dr Abdon Atangana cements his research globally by solving fractional calculus problem
2014-12-03

 

Dr Abdon Atangana

To publish 29 papers in respected international journals – and all of that in one year – is no mean feat. Postdoctoral researcher Abdon Atangana at the Institute for Groundwater Studies at the University of the Free State (UFS) reached this mark by October 2014, shortly before his 29th birthday.

His latest paper, ‘Modelling the Advancement of the Impurities and the Melted Oxygen concentration within the Scope of Fractional Calculus’, has been accepted for publication by the International Journal of Non-Linear Mechanics.

In previously-published research he solved a problem in the field of fractional calculus by introducing a fractional derivative called ‘Beta-derivative’ and its anti-derivative called ‘Atangana-Beta integral’, thereby cementing his research in this field.

Dr Atangana, originally from Cameroon, received his PhD in Geohydrology at the UFS in 2013. His research interests include:
• the theory of fractional calculus;
• modelling real world problems with fractional order derivatives;
• applications of fractional calculus;
• analytical methods for partial differential equations;
• analytical methods for ordinary differential equations;
• numerical methods for partial and ordinary differential equations; and
• iterative methods and uncertainties modelling.

Dr Atangana says that, “Applied mathematics can be regarded as the bridge between theory and practice. The use of mathematical tools for solving real world problems is as old as creation itself. As written in the book Genesis ‘And God saw the light, that it was good; and divided the light from the darkness’, the word division appears here as the well-known method of separation of variables, this method is usually employed to solve a class of linear partial differential equations”.

“A mathematical model is a depiction of a system using mathematical concepts and language. The procedure of developing a mathematical model is termed mathematical modelling. Mathematical models are used not only in natural sciences, but also in social sciences such as economics, psychology, sociology and political sciences. These models help to explain systems and to study the effects of different components, and to make predictions about behaviours.”

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