Science Academies’ Lecture Workshop on “Differential Equations and their Applications in Mathematical Modelling”

               Indian Academy of Sciences, Bangalore, Indian National Science Academy, New Delhi, The National Academy of Sciences India, Allahabad, in the association with Jansons Institute of Technology, Coimbatore had successfully completed the two days Science Academies Lecture Workshop on “Differential Equations and their Applications in Mathematical Modelling” in different emerging areas of mathematical sciences for under graduate, post graduate, research scholar and faculty members. The delegates from under graduate, post graduate, research scholar and faculty members had participated the workshop. The workshop is organized for two days including of 8 sessions. The workshop was started at 9:30 a.m. on 27-10-2022 with prayer song and followed by lighting of lamp, Dr. B. Senthilnathan, Head of the Department, Department of Mathematics welcomed the gathering, Dr. M. Raju, Wokshop Coordinator spoke about the importance of the workshop, Dr. M. V. Sureshkumar, Director-Administration, felicitates the workshop, Dr. S. Elangovan, Vice Principal given a memento to chief guest. Program was inaugurated by Chief Guest and Convener of the workshop Prof. Dr. P. Kandaswamy. He spoke about the importance of basic science and he motivated the students to become good researchers and coordinator had given a brief introduction about the academic science workshop program. After the inauguration ceremony, the first session starts from 10.00 a.m. – 11.15 a.m., which is led by Prof. Dr. P. Kandaswamy, he discusses in his session about the formulations of social problems in terms if differential equations. The second session has started after the morning refreshment (from11.15 a.m. to 11.45 a.m.) the second session (from 11:45 a.m. to 01:00 p.m.) which is led by Prof. Dr. S. Saravanan, he focuses on the solutions of two dimensional and three dimensional fluid flow problems in finite volume methods. From 01.00 p.m. to 02.00 p.m. lunch break for the participants. Third session starts by 02.00 p.m. and it is continued by Prof. Dr. S. Saravanan. After the evening refreshment (from 03.15 p.m. – 03.45 p.m.) the fourth session begins at 03.45 p.m. which is led by Prof. Dr. M. Lakshmanan, he discusses about the Nonlinear Dynamics: Bifurcations & Chaos. On Day – 2, 28-10-2022, session 5 begins at 09.15 a.m., continued by Prof. Dr. M. Lakshmanan, he discusses about the Nonlinear Dynamics: Integrability & Solitons. After the morning refreshment (from 10.30 a.m. to 10.45 a.m.) the 6th session begins at 10.45 a.m. which is led by Prof. Dr. Satyajit Roy, who has explored his ideas on Linearization Techniques for Non-linear Differential Equations. After lunch break (from 12.00 noon to 01.00 p.m.) the 7th session begins at 01.00 p.m. and it is continued by Prof. Dr. Satyajit Roy, he discusses about Non-uniform Mass transfer in internal flow problems and external flow problems. After the evening refreshment (from 02.15 p.m. to 02.30 p.m.) the 8th session begins at 02.30 p.m. by Prof. Dr. P. Kandaswamy, he discusses some Mathematical Models for Cooling of Electronics Equipment. The two day workshop is concluded by a formal valediction from 03.45 p.m. to 04.15 p.m.. A letter of Attendance was distributed to all the participants. In the concluding session the feedbacks were given by student delegates. They told that the program was helpful to them to learn recent inventions in differential equations and mathematical modelling, and all the speakers motivated them to learn lot of things in differential equations and mathematical modelling. Amlan Kanti Halder, Research Scholar of Pondicherry University expressed in his feedback that the organization in all was very fantastic including resource persons, lectures, hospitality, lunch, breakfast etc. He also expressed the overall impact of this workshop will be benifitable in future. Also students from other institutes give very positive feedback. All the resource persons were highly impressive and interactive for the students. Organizing convener Prof. Dr. P. Kandaswamy, in his concluding remarks focused on the works of Science Academy’s and had explained the role of Academy’s motivation to the young generation towards the different aspects of pure and applied mathematics. The two day program highlighted the basic aspects in mathematical modelling with recent on-going research in the field. The workshop has been a very helpful for our young generations to learn the scientific achievements and to increase the scientific temper in the students. A total of 160 delegates attended the workshop, which includes 21 faculty members, 13 research scholars, 31 under graduate students and 95 post graduate students. The delegates came from different colleges in and around Tamil Nadu, namely, Chikkanna Government Arts College, Tiruppur, Dr, N.G.P. Arts and Science College, Coimbatore, Erode Arts And Science College, Erode, Gobi Arts and Science College, Erode, K.S.Rangasamy College of Arts and Science, Tiruchengode, KGISL Institute of Technology, Coimbatore, Kongunadu Arts And Science College, Coimbatore, L.R.G. Government College for Women, Tiruppur, Micheal Job College of Arts and Science for Women, Coimbatore, Nallamuthu Gounder Mahalingam College, Pollachi, Nandha Arts And Science College, Erode, Nehru Institute of Engineering and Technology, Coimbatore, Pondicherry University, Puducherry, PSG College of Arts & Science, Coimbatore, PSGR Krishnammal College for Women, Coimbatore, Puratchi Thalaivi Amma Government Arts and Science College, Palladam, RVS College of Engineering and Technology, Coimbatore, RVS Technical Campus, Coimbatore, Sankara Polytechnic College, Coimbatore, Sengunthat Engineering College, Tiruchengode, Sree Saraswathi Thyagaraja College, Pollachi, Sri Ramakrishna College of Arts and Science, Coimbatore, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Texcity Arts and Science College, Coimbatore, Vivekananda College, Madurai with our host institute. 37% of the students are from local Coimbatore-city colleges and 63% from rural village colleges (in and around Coimbatore). By conducting this program many of the students are delighted that they have got a bit of awareness about scientific research and inspired to take their career as a scientist in the future life. Principal, Coordinator, Staff and Management of Jansons Institute of Technology, Coimbatore are very thankful to all the three Science Academies for the support through their sponsorship to the Science workshop and we hope you will be supporting us in future to conduct such type of useful and encouraging workshops to inspire the students of rural areas.

Convener & Resource Person 1

Prof. Dr. P. Kandaswamy, F.N.A.Sc. Professor & Former Head (Rtd.)
Department of Mathematics
Bharathiar University
Coimbatore – 641046,
Tamil Nadu, INDIA
E-mail: pgkswamy@yahoo.co.in

Resource Person 2

Prof. Dr. M. Lakshmanan, F.N.A.Sc., F.A.Sc., FNA, FTWAS

Professor of Eminence &
DST-SERB Distinguished Fellow
Centre for Nonlinear Dynamics
School of Physics
Bharathidasan University
Tiruchirapalli – 620 024
Tamil Nadu, INDIA
E-mail: lakshman.cnld@gmail.com

Resource Person 3

Prof. Dr. Satyajit Roy, F.N.A.Sc

Professor of Mathematics
Department of Mathematics
Indian Institute of Technology Madras
Chennai- 36
Tamil Nadu, INDIA.
E-mail: sjroy@iitm.ac.in

Resource Person 4

Prof. Dr. S. Saravanan
Professor and Head
Department of Mathematics
Bharathiar University
Coimbatore – 641046
Tamil Nadu, INDIA
E-mail: sshravan@buc.edu.in