Applied Mathematics

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.


Anil Kumar Gupta

Editorial Board Member of Applied Mathematics

Professor, Greater Noida Institute of Technology, India

Research Areas

Mathematical modeling , CFD, Biomathematics

Education

2001-2003Ph.D.Biomathematics, Center for Information and Decision Sciences, Khandari Campus, Dr B.R. Ambedkar University, Agra
1998-1999M. PhilMathematics, Institute Basic Science Khandari Campus, Dr B. R. Ambedkar University Agra
1994-1996M.ScMathematics, Dr B. R. Ambedkar University Agra
1991-1994B. Sc.Mathematics, Physics, Chemistry, Dr B. R. Ambedkar University Agra

Experience

2010-presentWorking as Professor (Mathematics) in the Department of Applied Mathematics Greater Noida Institute of Technology, Greater Noida
2007-2010Worked as Assistant Professor (Mathematics) in the Department of Applied Mathematics Dronacharya College of Engineering, Greater Noida
2005-2007Worked as Sr. Lecturer (Mathematics) in the Department of Mathematics Dr. K.N. Modi Institute of Engineering & Technology, Modinagar
2004-2005Worked as Sr. Lecturer (Mathematics) in the Department of Mathematics with BBIET&RC, J. Bad, Bulandshahar, affiliated to U.P. Technical University Lucknow
2003-2004Worked as Lecturer in the GLAITM, Mathura affiliated U.P. Technical University Lucknow
2001-2003Worked as Lecturer in SSDSS/ACET Iglas Aligarh affiliated Dr. B.R. Ambedkar University Agra /U.P. Technical University Lucknow
1999-2000Worked as Lectureship as Guest faculty in the DDIVE, Khandari Campus, Dr. B.R. Ambedkar University Agra

Membership

Life member, Operation Research Society of India
Life member, Indian Mathematical Society of India
Life Member, Indian Society Biomechanics, India
Life member, National Academy of Mathematics, Ghorakhpur India
Life member, Indian society of Mathematics and Mathematical Sciences, India
Board of member, International Journal of Engineering, Iran
2000 Committee Member on National Conference on Operation Research and Information Technology
2005 Annual member of Indian Society for Technical Education, New Delhi

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Engineering Mathematics-I : ACME Learning, New Delhi, according to syllabus, UP Technical University Lucknow, Dr Anil Kumar and Dr. C.L. Varshney, July 2005, revised edition 2009.
[2]  A Text Book of Engineering Mathematics-II: Savera Publishing House, New Delhi, according to syllabus, GB Technical University Lucknow, Dr Anil Kumar, Dr. C.L. Varshney and Mr Sajjan Lal, 2011.
[3]  Engineering Mathematics III ACME Learning, New Delhi, according to syllabus, UP Technical University Lucknow, Dr Anil Kumar Gupta and Mr V P Singh, 2009.
[4]  Business Research Methods: Dr Anil Kumar and Dr Dinesh Kumar Sharma, Published by Vayu Education of India, (2009).
[5]  Business Statistics: Published by Vayu Education of India, 2009.
[6]  Statistics for Management: Dr Anil Kumar Gupta, Published by Vayu Education of India, according to syllabus, affiliated to UP Technical University, Lucknow. 2009
[7]  Remedial Mathematics: J S Singh, Dr Anil Kumar Gupta and Veeresh Varshney, Published by Kedar Nath and Ram Nath Publication, Meerut.
[8]  Research Methodology: Dr Anil Kumar Gupta, Published by Vayu Education of India, according to syllabus, affiliated to UP Technical University Lucknow, 2008, revised edition 2011.
[9]  Computer Based Numerical and Statistical Techniques: Dr Anil Kumar Gupta, Published by Vayu Education of India, according to syllabus UP Technical University Lucknow, (2008).
[10]  Invited Contribution to the World Scientific Publishing Company theme Volumes on "Biomechanical Systems "Techniques in Performance Modelling and Analysis of Blood Flow in Elastic Arteries & their Applications, 2007 USA (In Press).
[11]  Invited Talk on topic "Mathematical Modelling of Elastic Arterial Flows "WCNA 2008, Fifth World Congress of Nonlinear Analysts IFNA, Florida Institute of Technology, Mathematical Sciences, Melbourne, FL 32901, USA July 2-9 2008.
[12]  Anil Kumar Gupta: Performance and analysis of blood flow through carotid artery, Int. J. Engg. bus. manag., , Vol. 3, No. 4, 1-6, 2011.
[13]  Anil Kumar, CL Varshney and Sajjan Lal : Crank-Nicholson Scheme to Transient MHD Free Convective Flow through Semi-Infinite Vertical Porous Plate with Constant Suction and Temperature Dependent Heat Source, Proceedings International Conference on Advances in Computing and Artificial Intelligence (ACAI 2011) ISBN: 978-1-4503-0635-5 doi>10.1145/2007052.2007070 pp 86-92, 2011 USA.
[14]  Anil Kumar, R. K. Saket, C L Varshney and Sajjan Lal : Finite difference technique for reliable MHD steady flow through channels permeable boundaries, International Journal of Biomedical Engineering and Technology (IJBET) UK, Vol. 4(2) pp 101-110, 2010.
[15]  Anil Kumar C L Varshney and Sajjan Lal :Perturbation Technique for Unsteady MHD Periodic Flow of Viscous Fluid Through a Planer Channel, International Journal of Engineering and Technology Research Vol. 2(4), pp. 73-81, April 2010.
[16]  Anil Kumar, NK Varshney, PC Gupta and Janamejay Singh: Finite Difference scheme for MHD flow over a linearly stretched Sheet with Thermal Radiation, International Journal of Mathematical Sciences and Engineering Applications, Vol. 4 No. II (June, 2010), pp. 371-383.
[17]  Anil Kumar, CL Varshney and Sajjan Lal: MHD free convective fluctuating flow through a porous effect with variable permeability Parameter, International Journal of Engineering, Volume 23-3&4-Transactions A: Basics, November 2010, pp. 313-322 2010.
[18]  Anil Kumar , CL Varshney and CM Tripathi : Finite Difference Technique of Thermal Diffusion on Steady Laminar Free convective flow in porous hot plate through magnetic field in the presence of Heat Transfer, International Journal of Mathematical Sciences and Engineering Applications, Vol. 3 (1) pp 15-26, 2009.
[19]  Anil Kumar Gupta: Finite Element Galerkin’s scheme for flow in blood vessels with magnetic effects, International Journal of Applied Systemic Studies, Inderscience publishing, 2009 Vol. 2 (3) pp- 284-293 UK.
[20]  Anil Kumar, CL Varshney and Sajjan Lal : Finite Difference Technique for three dimensional MHD flow through a porous medium bounded by an infinite vertical porous plate , International Journal of Mathematical Sciences and Engineering Applications, Vol. 3 (III) pp 233-244, 2009.
[21]  Anil Kumar, CL Varshney and Sajjan Lal: Analytical study of effect of disorder on dispersion in steady inertial flows in porous effect, International Journal of Scientific Research and Essays, South Africa Vol.4 (11), pp. 1392-1402, 2009.
[22]  Anil Kumar: Convective Diffusion Process of blood flow in presence of porous effects, Academic Open Internet Journal, 21, pp 1-21, Bourgas, Bulgaria, 2007.
[23]  R. K. Saket and Anil Kumar: Reliability of convective diffusion process in porous blood vessels, International Journal of Chemical Product and Process Modeling, Vol.(3) Article (25) Canada 2008.
[24]  Anil Kumar and Narendra Kumar: Performance for Mathematical model of DNA supercoil, International Journal of Bio-Sciences Research Bulletin, 22 (2), 79-87, 2006.
[25]  Anil Kumar, CL Varshney and GC Sharma: Computational technique for flow in blood vessels with porous effects, International Journal of Applied Mathematics and Mechanics (English Edition) (Springer Publishing) China, 26(1) 63-72, 2005.
[26]  Anil Kumar, GC Sharma and Madhu Jain: Performance modeling and analysis of blood flow in elastic arteries, International Journal of Mathematical and Computer Modeling, USA, (Elsevier) 2004 29(13) 1491-1499.
[27]  Anil Kumar, G.C. Sharma and Madhu Jain: Finite element Galerkin’s approach for a computational study of arterial flow, International Journal of Applied Mathematics and Mechanics (English Edition) China, 22(9) 1012-1018, 2001 (Springer Publishing).
[28]  Anil Kumar Gupta: Performance modeling of Blood Flow in Compliant Arteries: A Numerical study, Statistics 2011 Canada: 5th Canadian Conference in Applied Statistics/ 20th conference of the Forum for Interdisciplinary Mathematics -Interdisciplinary Mathematical & Statistical Techniques July 1-4, 2011 Concordia University, Montreal, Quebec, Canada.
[29]  Anil Kumar: Performance Modeling of Porous Effect of the blood flow in artery with stenosis, Casablanca International Workshop on Mathematical Biology: Analysis & Control, June 20-24, 2011, University Hassan II Mohammadia- Ben M’sik Sciences Campus, Casablanca, Morocco.
[30]  Anil Kumar : Performance Modeling and Dynamical study of Blood Flow in Blood Vessel with Porous Effect, Sixth International Conference on Dynamic Systems and Applications, May25-28, 2011 Morehouse College Atlanta, Georgia, USA
[31]  Anil Kumar, CL Varshney and VP Singh: Performance Modeling and Study of blood Flow in vessels with Porous Effects, National Conference on Recent Advances in Mathematics and Their Applications, Department of Mathematics, SV College Aligarh UP, February, 12-13, 2011.
[32]  Anil Kumar: Performance modeling and Mechanical Behaviour of Blood Vessel in the presence of Magnetic Effects, National Conference on Recent Advances in Mathematics and Their Applications, Department of Mathematics, SV College Aligarh UP, February, 12-13, 2011.
[33]  Anil Kumar, CL Varshney and Sajjan Lal: Perturbation Technique to MHD Free Convection Flow through Infinite Vertical Porous Plate with Constant Heat Flux, Accepted in 7th National Conference of Indian Society of Mathematics and Mathematical Sciences on Recent Advance in Mathematical Sciences and its Applications, February 20-21, 2010.
[34]  Anil Kumar: Mathematical model of Blood flow in Arteries with Porous Effects, International Federation for Medical and Biological Engineering (IFMBE) Conference 6th World Congress on Biomechanics (WCB 2010) Edited by C.T. Lim and J.C.H. Goh (Eds.): WCB 2010, International Federation for Medical and Biological Engineering (IFMBE) Proceedings 31 Springer Publishing, pp. 18–21, 2010.
[35]  Anil Kumar: Computational Model of Blood Flow in the Presence of Atherosclerosis, International Federation for Medical and Biological Engineering (IFMBE), Conference 6th World Congress on Biomechanics (WCB 2010) Edited C.T. Lim and J.C.H. Goh (Eds.): WCB 2010, IFMBE Proceedings 31, Springer Publishing pp. 1591–1594, 2010.
[36]  Anil Kumar, CL Varshney and VP Singh: Performance Study on effect of Cognitive Sates on Heart Rate, Blood Pressure and Respiration rate, Proceedings in National Conference on Biomechanics, Department of Mathematics, Indian Institute of Technology Roorkee (7-8 March, 2009), Published by Indian Society of Biomechanics, Special Issue NCBM, ISSN 0974-0783, pp 8-12, 2009.
[37]  Anil Kumar: Blood Flow Finite elements Solution through the Carotid Artery with Magnetic effects, National Conference on Recent Developments in Science & Technology, S V College Aligarh, February 15-16, 2009.
[38]  Anil Kumar Gupta: Performance Model and Analysis of Blood Flow in Small Vessels with Magnetic Effects, National Meet of Research scholars in Mathematical Sciences, Dec.19-23, 2009, Department of Mathematics, IIT Roorkee, Roorkee.
[39]  Anil Kumar, CL Varshney and VP Singh: Performance and Analysis of Blood Flow with Periodic Body Acceleration in the Presence of Magnetic Field, Proceeding in National Conference on Biomechanics, Department of Mathematics, Indian Institute of Technology Roorkee (7-8 March, 2009)
[40]  Anil Kumar C L Varshney Sajjan Lal : Perturbation Scheme for Unsteady MHD Periodic Flow of Viscous Fluid Through a Planer Channel, National Meet for Research Scholar in Mathematical Sciences (December 19-23, 2009) Department of Mathematics, Indian Institute of Technology Roorkee, UK India.
[41]  Anil Kumar, CL Varshney and Sajjan Lal (2009): Performance modeling and analysis of Non-Viscous Incompressible Fluid Flow and Convective Temperature Flow in the magnetic effects, Published in Souvenir for National seminar on Mathematical Modeling of some Physical Systems, organized by Department of Applied Sciences, Dronacharya College of Engineering, Greater Noida.
[42]  Anil Kumar, CL Varshney and VP Singh: Mathematical Modeling of Blood Flow in Elastico-viscous Fluid under Periodic Body Acceleration with Porous Effects, National Seminar on Mathematical Modeling of Some Physical Systems , Dronacharya College of Engineering , Greater Noida , June 13, 2009.
[43]  Anil Kumar: Blood Flow Finite elements Solution through the Carotid Artery with Magnetic effects, National Conference on Recent Developments in Science & Technology, S V College Aligarh, February 15-16, 2009.
[44]  Anil Kumar Gupta (2009): Performance of Carotid Artery Segmentation for Shape Models Framework, National Conference on Recent Drift, Break in Applied Sciences & Its Technology for Innovation Management, 7 – 9 August, 2009.
[45]  Anil Kumar, CL Varshney and Sajjan Lal: Analytical study of viscous dissipation effects on MHD natural convection fluid flow along sphere, National conference on Recent Drift, Breaks in Applied Sciences and its Technology for Innovation Management, 7-9th August 2009 KIET, Ghaziabad.
[46]  Anil Kumar, CL Varshney and Sajjan Lal: Finite Difference Scheme to Convective Flow and Mass Transfer of Visco-Elastic Fluid through Porous Medium with Periodic Suction in the Presence of Magnetic Field, International conference on Operations Research for growing Nation 41th Annual Convention of Operational Research Society of India, 15-17 December 2008, Sri Venkateswara University , Tripati, India.
[47]  Anil Kumar, CL Varshney and VP Singh: Analytical Study of Blood Flow with Periodic Body Acceleration in the Presence of Magnetic Field, Society For Mathematical Biology Conference July 30-August 2, 2008, Centre for Mathematical Medicine, Fields Institute Toronto, Canada.
[48]  Anil Kumar: Mathematical Modeling of Blood Flow through Magnetic Effects, Society For Mathematical Biology Conference July 30-August 2, 2008, Centre for mathematical Medicine, Fields Institute Toronto, Canada.
[49]  Anil Kumar and CL Varshney : Performance a simulated patient-practitioner dialogue for patients, Published in Souvenir of 9th Conference of International Academy of Physical Sciences CONIAPS-IX, PP M-19, 3-5 February Institute of Basic Sciences, Khandari, Dr BRA University Agra (2007).
[50]  Anil Kumar, CL Varshney and Sajjan Lal : Numerical Study of Chaos and Determinism in the two dimensional Convection Flow, Published in Souvenir for Interdisciplinary Mathematical & Statistical Techniques (Shanghai 2007) May 20-23, 2007, University of Science and Technology of China, Hefei, Anhui, P.R. China pp 55.
[51]  Anil Kumar, CL Varshney and CM Tripathi : Performance and analysis of Modeling Behavior through Order of Magnitude Scaling and their Application, accepted International Conference: 2007-Dynamical Systems and Applications July 1-6, 2007 Hotel Maxima, Selcuk, Kusadasi, Turkey.
[52]  Anil Kumar, CL Varshney and Mukesh Kumar Rathor : Performance Modelling and Analysis of Electrically Stimulated Muscle for Human Function, Published in Souvenir for Interdisciplinary Mathematical & Statistical Techniques (Shanghai 2007) May 20-23, 2007, University of Science and Technology of China, Hefei, Anhui, P.R. China pp 70.
[53]  Anil Kumar, Performance and Analysis of lattice Boltzmann Equation for Modelling Arterial Flows and their Applications, XIIth Applied Stochastic Models and Data Analysis (ASMDA 2007) International Conference Chania, Crete (Greece) May 29, 30, 31 and June 1, 2007 www.asmda.com/sitebuildercontent/sitebuilderfiles/bookofabstracts-1.pdf
[54]  Anil Kumar, CL Varshney and Sajjan Lal : Viscous Flow Coaxial Cylinder in the Presence of Magnetic Field, Published in Souvenir of SCRA 2006-FIM XIII-Thirteenth International Conference of the Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical and Statistical Techniques September 1-4, 2006 New University of Lisbon-Tomar Polytechnic Institute Lisbon-Tomar, Portugal.
[55]  Anil Kumar: Finite difference Crank- Niclson scheme for a blood flow in elastic arteries, Published in Proceedings National conference on 71st Indian Mathematical Society, I.I.T. Roorkee, December, 26-29, 2005/ The Mathematics Students, Edited by J.R. Patidia, ISSN, 0025-5742, pp 108, Vol. 74 No. 1-4; October 2006.
[56]  Anil Kumar Gupta: Finite Element Galerkin’s scheme for flow in blood vessels with magnetic effects, Published in Souvenir of 8th Conference of International Academy of Physical Sciences CONIAPS-VIII, 29-31 December (2005) C.C.S. University, Meerut
[57]  Anil Kumar, GC Sharma and Madhu Jain: The flow between annular space surrounded by rotating coaxial cylinder with coaxial cylindrical porous medium, Published National conference on 67th Indian Mathematical Society, Aligarh, January 27-30, 2002.
[58]  Anil Kumar, GC Sharma and Madhu Jain: Simulation of the convective diffusion processes in porous vessels, published Souvenir of 34th annual Convention of Operation Research Society of India, Calcutta, 2002, pp-67.
[59]  Anil Kumar, GC Sharma and Madhu Jain: MHD flows in stenosed artery, proceedings in International Conference on Mathematical Modeling, organized by department of mathematics, IIT Roorkee, 683-687, 2002.
[60]  Anil Kumar, GC Sharma and Madhu Jain: The maximum entropy for statistical structure of the ecosystem, Published in Souvenir of National Conference on Operation Research and Information Technology, Agra April 2-3, 2000(42).