Dr. A. K. Lal
Professor

Designation:

Professor

Specialization:

Theoretical Astrophysics, Reliability Analysis and Numerical Analysis

Email:

aklal@thapar.edu

aklal2002in@yahoo.co.in
aklal2007in@gmail.com

Contact No.

+91-9915-306-542

Bibiography

Dr. Arvind Kumar Lal is working as Professor in the School of Mathematics, Thapar Institute of Engineering & Technology, Patiala, since 2007. He received his Master's Degree (M.Sc.) in Mathematics from Bihar University, Muzaffarpur, in 1987 and Doctor of Philosophy (Ph.D.) in Mathematics from University of Roorkee (presently IIT Roorkee) in 1995. Before joining Thapar Institute of Engineering & Technology in January 1996, he has also worked as Lecturer in Mathematics in the Technological Institute of Textile and Science, Bhiwani from January 1993 to March 1994. He has been teaching undergraduate and postgraduate mathematics courses for more than 23 years at Thapar Institute of Engineering & Technology, Patiala. He has supervised eight Ph.D. and fifteen M.Sc. students. He has published 51 research papers in the referred journals (27 in SCI and 24 in Non-SCI), completed five research projects and one is ongoing. He serves as Principal Investigator in all the projects.

Research Projects

Ongoing

  • CSIR sponsored major project entitled "Mathematical modeling of equilibrium structures and oscillations of rotating stars in binary systems using modified Roche equipotential", sanctioned amount approximately 14.00 lakhs for three years w.e.f. July 2017.

Completed

  • UGC major project entitled “Reliability, Availability and Maintainability (RAM) Analysis of Industrial Process", sanctioned amount: 9,08,502/- for three years w.e.f. May 2009 - October 31, 2012.
  • UGC Major project entitled "Numerical Analysis of Structures and Oscillations of Rotating Stars", Sanctioned amount: Rs. 90,000 Period: 2006-08
  • UGC Major project entitled: "Mathematical Modeling of Structures and Oscillations of stellar Systems in the Rotating Frame of Reference", Sanctioned amount: Rs: 3,58,791 Period: 1.7.03-30.6.06
  • UGC minor project entitled: "Study on Equilibrium Structures and Oscillations of Rotating Stars” Sanctioned amount: Rs. 12,000/ Period: 1998-99.
  • UGC minor project entitled: "Eigenfrequencies of Differentially Rotating White Dwarf Stars," Sanctioned amount: Rs. 6,000/ Period: 2001-02.

Membership of Professional Institutions, Associations and Societies

  • Indian Society of Technical Education
  • Associate member of Astronomical Society of India
  • Punjab Academy of Science Congress.

(A)Paper in SCI Journals

  1. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Polytropic Models of the Stars, Astrophysics Space Science, 193, 69- 85, 1992 ( Impact Factor: 2.401, Kluwer publication ).
  2. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Stars Obeying a Generalized Differential Rotation Law, Astrophysics Space Science, 215, 111-130, 1994 (Impact Factor: 2.401, Kluwer publication).
  3.  C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating White Dwarf Models of the Stars, Bulletin of AstronomicalSociety of India 22, 439-471, 1994. (Impact Factor: 0.83 ) (Indian Institute of Astrophysics).
  4.  C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Primary Components of Binary Stars, Astrophysics Space Science, 254, 87-109, 1997 ( Impact Factor: 2.401, Kluwer Publication).
  5.  C. Mohan, A. K. Lal and V. P. Singh, Effects of Differential Rotation on the Eigen- frequencies of Small Adiabatic Barotropic Modes of Oscillations of the Stars, Indian Journal Of Pure and Applied Mathematics, 2(2),199-220,1998 (Impact Factor: 0.206, Indian Academy of Science publication).
  6.  A. K. Lal, C. Mohan and V. P. Singh, Eigenfrequencies of Small Adiabatic Barotropic Modes of Oscillations of Differentially rotating Polytropic Stars in Binary Systems, Indian Journal of Pure and Applied Mathematics, 32 (12), 1765-1776, 2001 (Impact factor: 0.206, Indian Academy of Science).
  7.  A. K. Lal, C. Mohan and V. P. Singh, Equilibrium Structure of Differentially Rotating and Tidally Distorted White Dwarf Stars, Astrophysics and Space Science, 301, 51-60, 2006 (Impact factor: 2.401, Springer).
  8.  A. K. Lal, Seema Saini, C. Mohan and V. P. Singh, Equilibrium Structures of Rotationally and Tidally Distorted Polytropic Models of Stars, Astrophysics and Space Science, 306, 165-169, 2006 (Impact factor: 2.401, Springer).
  9.  A. K. Lal, Seema Saini and C. Mohan, On the validity of series solution being used for the position of a point on a Roche equipotential, Astrophysics and Space science, 310, 317-320, 2007 (Impact factor: 2.401, Springer).
  10.  A. K. Lal, Ankush Pathania and C, Mohan., Effect of Coriolis force on the equilibrium structures of rotating stars and stars in binary system, Astrophysics and space science, 315, 157-165, 2008 (Impact factor: 2.401, Springer).
  11.  A. K. Lal, Ankush Pathania and C. Mohan, Effect of Coriolis force on the shapes of rotating stars and stars in binary systems, Astrophysics and space Science, 319, 45-53, 2009 (Impact Factor: 2.401, Springer).
  12. A. K. Lal, Ankush Pathania, Alka Bhalla and C. Mohan, Effects of differential rotations on the eigenfrequencies of small adiabatic barotropic modes of oscillations of polytropic models of stars, Journal of Physics A Mathematical and Theoretical (IOP), 42, 485212, 2009 (Impact Factor: 1.687, Institute of Physics).
  13.  Shakuntala, A. K. Lal, and S. S. Bhatia, Comparative study of the subsystems subjected to independent and simultaneous failures, Eksploatacia I Niezawodnosc - Maintenance and Reliability (Polish Academy of Maintenance), 4, pp. 63-71, 2011 (Impact Factor: 0.505, Polish Maintenance Publication).
  14.  Rajesh Bawa, Arvind K. Lal and Vinod Kumar, An e-uniform Hybrid Scheme for Singularly Perturbed Delay Differential Equation, Applied Mathematics and Computation, 217, issue 21, pp. 8216-8222, 2011 (Impact Factor: 1.60, Elsevier).
  15. Shakuntala, A. K. Lal, S. S. Bhatia, J. Singh, Reliability analysis of polytube industry using supplementary variable technique, Applied Mathematics and Computation, Vol. 2818 (8), pp. 3981  3992, 2011 (Impact Factor: 1.60, Elsevier).
  16.  Ankush Pathania, A. K. Lal and C. Mohan, Structures and oscillations of rotationally and tidally distorted stars polytropic models of stars in presence of the Coriolis force, Proceeding of Royal Society A:  Mathematical Physical and Engineering Sciences, Vol. 468, pp. 448-466, 2012 (Impact Factor: 2.891, Royal Society Publishing).
  17. Ankush Pathania, A. K. Lal, C. Mohan and T. Medupe, The Kippenhahn and Thomas averaging method for the structure of rotating stars, Bulletin of Astronomical Society of India, Vol. 40, pp. 41-50, March 2012 (Impact Factor: 0.83, Astronomical Society of India).
  18. Vinod Kumar, Rajesh Kumar Bawa and A. K. Lal, A robust computational technique for a system of singularly perturbed convection-diffusion equations, International Journal of Computational Methods, Vol. 10, issue 5, pp. 1350027, 2013 (Impact Factor: 0.48, World Scientific).
  19.  Vinod Kumar, R. K. Bawa and A. K. Lal, A Hybrid Initial Value Technique for Singularly Perturbed Boundary Value Problems, Computational andApplied Mathematics, Vol. 32, issue 1, pp. 163-177, April 2013( Impact Factor: 0.485, Springer).
  20.  Arvind Kumar Lal, Tarun Kumar and Ankush Pathania, Eigenfrequencies of rotationally and tidally distorted white dwarf models of stars, Astrophysics and Space Science, Vol. 345, issue 1, p. 155-167, May 2013 ( Impact Factor: 2.401, Springer).
  21.  Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy. Numerical solution of Stochastic differential difference equation arising in reliability engineering, Applied Mathematics and Computation, Vol. 219, issue 14, p.7645-7652, March 13, 2013 (Impact Factor: 1.60, Elsevier).
  22.  Ankush Pathania, A. K. Lal, and C. Mohan, On the use of the Roche Equipotential in Analysing the Problems of Binary and Rotating Stars, Journal of Astrophysics and Astronomy, Vol. 34, 69-73, 2013 (Impact Factor: 0. 500, Springer).
  23. Sunil Kumar, A. K. Lal, and Seema Saini, Equilibrium structure of rotationally and tidally distorted Prasad model including the effect of mass variation inside the stars, Astrophysics, Vol. 57, No.1, 119-129, 2014 (Impact Factor: 0.707, Springer)
  24.  Vinod Kumar, Rajesh Kumar Bawa and A. K. Lal, A robust computational technique for a system of singularly perturbed reaction - diffusion equations, International Journal of Applied Mathematics and Computer Science, Vol. 24, issue 2, p.387-395, 2014 (Impact Factor: 1.008).
  25. Sunil Kumar, A. K. Lal, and Seema Saini, Vibrational stability of differentially rotating polytropic stars, Astrophysics, Vol. 58, No. 1, 120-130, 2015. (Impact Factor: 0.707, Springer).
  26.  Seema Saini, Sunil Kumar, and A. K. Lal, Effect of mass variation on the radial oscillations of differentially rotating and tidally distorted polytropic stars, Astrophysics, Vol. 58, No. 2, 296-307, 2015.(Impact Factor:0.707).
  27. Rachna Kumari, A. K. Lal, S. S. Bhatia and R. K. Tuteja, Reliability and economic analysis of a system consisting of two dissimilar units with variation in production, Ciencia e Tecnica Vitivinicola journal- A Science and Technology Journal, Vol. 32, p. -, 2017(Impact Factor: 0,479)

(B)Papers in Non SCI Journal

  1.  Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Numerical Analysis of Reliability and Availability of the Serial Process in butter oil Processing Plant, International Journal of Quality and Reliability Management. 22 issue 2, 303-316, 2005 (Emerald publishing).
  2. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Behavioral Study of the Cement Manufacturing Plant-A Numerical Approach, Journal of Mathematics and System Science, 1, 50-70, 2005.
  3.  Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Analysis of Reliability and Availability of Serial Processes of Plastic - Pipe Manufacturing Plant - A case study, International Journal of Quality and Reliability Management), 24(4), 404-419, 2007. (Emerald publishing).
  4.  A. K. Lal, Ankush Pathania and C. Mohan, An estimation of Structure Parameters of rotationally and tidally distorted polytropic models of stars in the presence of Coriolis force, International Journal of Neural, Parallel and Scientific Computations, 17, 205-214, June, 2009  (Dynamic Publisher).
  5.  A. K. Lal, R. K. Bawa, Navdeep Singh, Modelling and Analysis of Software Availability of Web-based System with 3-tier architecture, International Journal of Computer Applications in Engineering, Technology and Sciences, 2, p.435-439, October, 2009 (ISSN No.0974-3596).
  6. Sunil Kumar, A. K. Lal, H.G. Sharma and V. P. Singh, Equilibrium Structures of Differentially Rotating Polytropic Stars, The Aligarh Bulletin of Mathematics, 29, No. 2, 2010 ( ISSN0. 304 9787).
  7. Sunil Kumar, H. G. Sharma, V. P. Singh and A. K. Lal, System of Roche- Coordinates for Stellar Models distorted by Differential Rotation, International Transaction in Mathematical Sciences and Computer, 3, No. 2,pp. 331  339, 2010 (ISSN: 0974-5068).   
  8.  Sunil Kumar, A. K. Lal, V. P. Singh, Seema Saini, Equilibrium structures of differentially Rotating and Tidally Distorted Polytropic Gaseous Sphere, World Journal of Modelling and Simulation, 7, No. 3, pp. 206-217, 2011(ISSN 1 746-723, England).
  9. Sunil Kumar, H.G. Sharma, V. P. Singh and A. K. Lal, Analytic Expression of Roche  Harmonics for Stellar Models distorted by Differential Rotation and tidal distortion, Global Journal of Mathematical Sciences Theory and Practical, 3, No. 3, p. 235-244, 2011.
  10.  Sunil Kumar, A. K. Lal, H.G. Sharma and V. P. Singh, Barotropic Oscillations of Differentially Rotating Roche Models, International Journal of Applied Physics, 1, Number 1, pp. 69-78, 2011.
  11.  Shakuntala, Sanjay Kajal, A. K. Lal, S. S. Bhatia and Jai Singh, Availability analysis of polytube industry when two subsystems are simultaneously fail, Bangladesh Journal of Scientific and Industrial Research, Vol. 46, Issue 4, pp. 475 - 480, 2011.   
  12.  A. K. Lal, R. K. Bawa and Navdeep Singh, Modelling and Analysis of Software Availability of Router Software System using Fuzzy logic, International Journal of Mathematical Modelling Simulation and Applications (4(1) 2011, ISSN: 0973  8355)(SCOPUS).
  13.  Shakuntala, A. K. Lal and S. S., Bhatia , Computational Analysis of Availability of Process Industry for High Performance, Communications in Computer and Information Science, 169(2), 265-274, 2011 (Springer Heidelberg Dordrecht London New York).
  14.  Shakuntala, A. K. Lal, S. S., Bhatia and S. Kajal, Operational Analysis of Rice Plant using Supplementary variable Technique, International Journal of Applied Engineering and Research, 6 (5), pp. 726 - 730, 2011 (ISSN No. 0973-4562).
  15.  Seema Saini, A. K. Lal and Sunil Kumar, Equilibrium structure of Differentially Rotating and Tidally Distorted Prasad Model including Mass Variation Inside the Star, International Journal of mathematical Archive, 3(5), pp. 1772-1778, 2012 (ISSN. 2229-5046).     
  16.  Poonam Pawar, A. K. Lal, Joginder Singh, A genetic algorithm based technique for efficient scheduling of tasks on multiprocessor systems, Advances in intelligent and soft computing, Vol. 131, pp. 911-919, 2012 (Springer link).
  17.  A. K. Lal, Manwinder Kaur and Sneh Lata, Behaviour Study of Piston Manufacturing Plant, through Stochastic Models, Journal of Industrial Engineering International, Vol. 9, 24, 2013 (Springer link).
  18.  Manwinder Kaur, Arvind Kumar Lal and S. S. Bhatia, Reliability distribution of an Industrial Process, International Journal of Research in Advent Technology, Vol. 1(5), 587-592, 2013.
  19.  Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, On the use of corrective maintenance data for preventively maintained textile industry, Journal of Reliability and Statistical Studies, Vol. 6, Issue 2, 151-163, 2013(ISSN: 0974-8024).
  20.  Shakuntala, A. K. Lal and S. S. Bhatia, Analytical and computational studies of availability of complex industrial system, International Journal of Research in Advent Technology, Vol. 2, Issue 2, 69-82, 2014.
  21.  Shakuntala, A. K. Lal and S. S. Bhatia, Analysis of non-markovian process by the inclusion of supplementary variables, International Journal of Research in Advent Technology, Vol. 2, Issue 2, 181-192, 2014.
  22.  P. Panwar and A. K. Lal, Predicting total number of failures in a software using NHPP software reliability growth models, Advances in Intelligent systems and computing, Vol. 259, 715-727, 2014.
  23.  Rachana Kumari, A. K. Lal, S. S. Bhatia and R. K. Tuteja, Cost analysis of a two unit standby industrial systems with varying demand, International Journal of Research in Advent Technology, Vol. 3(6), 99-106, 2015.
  24.   A. K. Lal and Shikhar Bhardwaj, Mathematical Modeling and Analysis of a modified Roman Onager with improved range control capabilities,   Journal of Engineering and Automation Problem, Russian publisher, 2016 (accepted)

H- Factor: 

  • Google H – Factor      :10
  • Google Citation          : 323
  •  SCOPUS H – Factor: 07
  • SCOPUS Citation       :139

Awards and Honours:  

  • Khosala Research Award of University of Roorkee, Roorkee in 1991
  • Senior Research Fellowship, CSIR, New Delhi, 1992-1993
  • Senior Research Fellowship, UGC, New Delhi, 1991-1992
  • Junior Research Fellowship, UGC, New Delhi, 1988-1990
  • Special State Scholarship in M. Sc., B. U., Muzaffarpur, 1987
  • Awarded Performance Incentives under PIS of Thapar University in four academic years starting from 2006.

Description of Research Interest:  

  • The study of equilibrium structure and oscillations of rotating stars in binary systems using modified Roche equipotential,
  • The analysis of anharmonic oscillations of rotationally and tidally distorted stars 
  • Modelling and analysis of reliability and availability of some industrial process