GUEST SPEAKER

NUMERICAL SIMULATION OF SINGULARLY PERTURBED BOUNDARY LAYER PROBLEMS USING MULTIPLE-SCALES METHOD

Prof. Jagdish Prakash
Department of Mathematics, University of Botswana, Botswana

Abstract

The analysis of boundary layer problems and multiple scale phenomena which have been generalized under the notion of singular perturbation problems played a significant role in Science, Engineering and Technology. In order to obtain a uniformly valid asymptotic expansion of a solution for such problems, a variety of methods have been developed such as boundary layer expansions, asymptotic matching, stretched coordinates, averaging and WKB expansions. This study presents a Multiple-scales method for solving second and third order singularly perturbed problems with the boundary layer at one end either left or right. Numerical simulations have been performed on numerical examples to justify the robustness of the proposed method.

Biography of the Guest Speaker

Dr. J. Prakash, settled in Botswana, Africa, is an Internationally Acclaimed Scholarly professor of mathematics for the last four decades. He has brought glory to India and enhanced the prestige of his home state of Uttar Pradesh by his profound knowledge, study and reserch of the highest caliber.
He is a highly educated learned man dedicated to the diety of learning; Saraswati. He has a M.Sc. With Mathematics from Meerut University, D. Phil from Garhwal University, C.Math, F.I.M.A., C. Sci(UK); MRSNZ, Dip. TCHG from the Massey University of New Zealand.
Dr. J. Prakash stated his career as a professor of Mathematics at a university level and has won International Acclaims and Recognition in the field of Teaching and Research. He has imported vast knowledge to thousands of student in the highest centres of leading Colleges, several universities in India, Iraq (Basrah), Zambia and Botswana. He is a professor of Mathematics in the University of Botswana at present.
Dr. J. Prakash is an Authorative Faculty of Mathematics member and has delivered keynote addresses and made learned presentations at a number of national & international seminars, symposiums and conferences all over the world. His papers – essays have been published in over 100 prestigious journals and proceedings.
He is a proud recipient of many prestigious awards for his outstanding contribution to the field of Higher Education. Deserving special mention is the prestigious C.V.RAMAN Research Award from the Governments of India in 2012.
Professional Honours and Awards:
1. Conferred the status as CHARTERED SCIENTIST (C. Sci.) by the Science Council of the Institute of Mathematics and Its Applications (UK) on the sixth October 2005. Registration number: IMA/114/013108.
2. Conferred the status as CHARTERED MATHEMATICIAN (C. Math. ) by the Privy Council being the Fellow of the Institute of Mathematics and Its Applications (UK) on the first day of January 1993.
3. Elected a FELLOW (FIMA) of the Institute of Mathematics and its Applications (UK) on the 1st day of March 1989.
4. Elected an ASSOCIATE FELLOW (AFIMA) of the Institute of Mathematics and Its Applications
( UK ) on the 22nd day of August 1985.
5. Prestigious Award of the C. V. Raman International Fellowship for African Researchers under Visiting Fellowship Program from FICCI Science and Technology, International Cooperation Division, Government of India, New Delhi: Host Institution: Fluid Dynamics Division, VIT University, Vellore, Tamil Nadu-632014, India: Duration: 3 months (14 May 2012- 14 August 2012).
6. Prestigious “GLOBAL VISIONARY AWARD” was conferred on the 13 January 2014 by VISION FOUNDATION, Ahmedabad, India, Venue: Tagore Hall, Opposite NID, Paldi, Ahmedabad-380007, India