Maharaja Ranjit Singh Punjab Technical University, BATHINDA

(A State University Established By Govt. of Punjab vide Punjab Act No. 5 of 2015 and Approved Under Section 2(f) & 12 (B) of UGC)

Admission
Pre Registration 2024-25 Online Courses

Research at Department of Mathematics

Department of Mathematics at MRSPTU is active in the research areas of Applied and Pure Mathematics like Numerical Analysis, Operations Research, Fourier Analysis, Complex Analysis, Information Theory and Topology.

Research at Department of Mathematics

Research Outcome

Total Numbers

Papers Published

70

Books

07

 

Year 2022

  1. Om Parkash and Mukesh Sarangal (2022): “Weighted Parametric Divergence Models for Discrete Probability Distributions”, Gulf Journal of Mathematics, 13(2), 87-93.
  2. MamtaKansal,AmitTuteja, Vinod Kumar(2022). “A single vendor-buyer integrated two-warehouse green fuzzy inventory model for deteriorating item to achieve environmental sustainability”Design Engineering , Issue1, P 4042-4068.
  3. MamtaKansal,AmitTuteja, Vinod Kumar (2022). “Two warehouse fuzzy inventory model with price and advertisement sensitive demand rate for achieving sustainable environment”Advanced Engineering Science (Toronto),Vol 54, Issue2, P 2096-3246.
  4. MamtaKansal,AmitTuteja, Vinod Kumar (2022). “Environmentally sustainable fuzzy inventory model for deteriorating items for two ware house system under inflation and back order” Mathematical Statistician and Engineering ApplicationsVol71, P 6802-6818.

Year 2021

  1. Kaur SP, Mittal AK, Kukreja VK, Kaundal A, Parumasur N and Singh P (2021): "Analysis of a linear and non-linear model for difusion-dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials", Afrika Matematika, 32, 1-23.
  2. Om Parkash and Mukesh (2021): “Two New Parametric Entropic Models for Discrete Probability Distributions”, Turkish Journal of Computer and Mathematics Education, 12(6), 2949-2954.
  3. Satinder Pal Kaur, Ajay Kumar Mittal and V.K. Kukreja (2021): "A computationally efficient algorithm for solution of mathematical models of displacement washing", Advances and Applications in Mathematical Sciences, 20(11), 2549-2557.
  4. Om Parkash and Mukesh Sarangal (2021): “Trigonometric Fuzzy Entropic Models and their Applications Towards Maximum Entropy Principle”, J. Math. Comput. Sci., 11(6), 6897-6909.

Year 2020

  1. Priyanka, Singh K (2020): L1-convergence of new Modified Cosine and Sine Sums, TEST Engineering and Management, 24138-24147.
  2. Singh K, Modi K (2020):  Convergence of Double Cosine Series, Kragujevac Journal of Mathematics, Vol.44(3), 443-458.
  3. Mukesh Grover (2020): 11th International Skorobohatko Mathematical Conference , ISMC-2020, Title of Paper-various types of numerical methods for finding the approximate solution of fractional differential equations, 26 to 30 of October 2020.
  4. Mukesh Grover (2020): The 3rd International Conference on Mathematical Modelling, Applied Analysis and Computation-2020, ICMMAAC-20 Title of Paper-A new technique for finding the Approximate solution of the fractional Burgers–Huxley Equation, JECRC University Jaipur, Rajasthan, August 7-9, 2020.
  5. Mukesh Grover (2020): International Conference On “Recent trends in mathematics and its Applications to graphs, Networks and Peri Nets” (ICRTMA-GPN-2020) Title of paper- Approximate solution of the fractional Burgers–Huxley Equation using Homotopy Perturbation Method, School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, 20-24 July-2020.
  6. Mukesh Grover (2020): International Conference On “Global Economic Impact of Covid-19” Title of paper- Evaluate the Impact of lockdown on Covid-19 imparting in India using Mathematical modeling, Kaamadhenu Arts and Science College, Coimbatore, Tamil Nadu,17-18 June-2020.
  7. Mukesh Grover (2020): International Conference On “New Normal-Corporate and Self-Management in Current Scenario” Title of paper- Interpretations of teacher-leadership practices in College and Universities, Gautam Buddha University, Greater Noida,9-10 June-2020.

Year 2019

  1. Singh K, Modi K (2019): L1-convergence of  Double Trigonometric series, Filomat, Vol.33(12), 3759-3771.
  2. Om Parkash, Rakesh Kumar, Mukesh and Priyanka Kakkar (2019): “Weighted Measures and their correspondence with coding theory”, JAC : A Journal of Composition Theory, XII(IX), 1670-1680.
  3. Supriya Rani, Sandeep Kansal, Amit Singla, Mamta Kansal, Rohit Mehra(2019). “Computation of Radiological Risk Assessment related to Uranium Concentration in Water Samples Using   LED  Fluorimeter”. IJRAR,Volume 6, Issue1, P154-162.
  4. Mukesh Sarangal (2019): "A Text Book of Engineering Mathematics"  Lembered Academic Publishing. (ISBN No. 978-620-0-08407-1)
  5. Mukesh Sarangal (2019): "Principle of Operations Research"  Lembered Academic Publishing. (ISBN No. 978-620-0-09175-8)

Year 2018

  1. Singh K, Modi K (2018): On equivalence of modified trigonometric sums, International Journal of Pure and Applied Mathematics , 120: 339-349.
  2. Mamta Kansal (2018). “A Survey on Fourier Transform and It’s Application in the area of Mobile Phones”. IJFRCSE, Vol 4,Issue 4, P887-890.
  3. Mamta Kansal (2018). “An Introduction to Fourier Transforms Analysis with Applications and Operations”. IJRAR,Vol 5, Issue2, P 1291-1294.
  4. Mamta Kansal (2018). “A Review of Research Papers on Fourier Transforms & statistical Fourier Analysis”. JETIR, Vol5, Issue 7, P1395-1398.
  5. Mamta Kansal, Karanvir Singh, Sandeep kansal (2018). “A Review Paper on the Applications of Numerical Analysis in Science & Engineering”. IJRAR,Vol 5, Issue 4, P 760-765.
  6. Mukesh Grover (2018): Evaluate approximate solutions of nonlinear Volterra-Fredholm lntegral equations with modified Laplace Adomian decomposition method, which is based on Modified Newton Raphson method, International Journal of Pure and Applied Mathematics, 119(14) ,109-115.
  7. Mukesh Grover (2018): Advanced Techniques in Differential Calculus (New techniques for solving higher order differential equation), Lap lambert Academic publishing, ISBN- 97-8613-990-2590.

 

Year 2017

  1. Singh K, Modi K (2017): On L1-convergence of modified trigonometric sums under some classes of coefficients, Global Journal of Pure and Applied Mathematics, (Vol. 13), 1965-1974.
  2. Singh K, Modi K (2017): On L1-convergence of modified cosine sums with particular coefficients, Aryabhatta Journal of Mathematics and Informatics, (Vol. 9), 825-830.
  3. Singh K, Modi K (2017): On L1-convergence of modified sine sums of trigonometric series with special coefficients, International Journal of  Mathematical Sciences, (Vol.1),  265-271.
  4. Singh K, Modi K (2017):  L1-convergence of derivative of  Fourier series using modified sums, International journal of  Mathematical Archive, (Vol.8(11)), 1-6.
  5. Mukesh Grover (2017): “The Numerical Solution of Homotopy Analysis Method and Two-dimensional Differential Transform Method for Nonlinear Partial Differential Equation”, International journal of research and analytical reviews, 5(4), 708-713.
  6. Mukesh Grover (2017): “Numerical Approach to Differential Equations of Fractional order Bratu-type Equations by Differential Transform Method”, International Journal Global Journal of Pure and Applied Mathematics, ISSN 0973-1768 Volume 13(9) 5813-5826.
  7. Mukesh Grover (2017): “Estimate the Solution of Fractional Differential Equations with Transcendental Functions”, International Journal of Advanced Research in Computer Science and Software Engineering, 7(5) 971-976.
  8. Mukesh Grover (2017): “A New Technique to Inculcate the Particular Solution of Fractional Order α { or or } Differential Equations Dα , D2α ,D3α With Boundary Conditions”, International Journal of Computer & Mathematical Sciences IJCMS, 6(5), 67-75.

 

Year 2016

  1. Om Parkash and Mukesh (2016): “Contribution of maximum entropy principle in the field of queueing theory” Communications in Statistics-Theory and Methods 45(12): 3464-3472.
  2. Mukesh Grover, Arun kumar Tomer (2016): “Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method”, International Journal of Science Technology & Engineering , 3(6),2357-2361.
  3. Mukesh Sarangal (2016): Information Theoretic Models and Applications: An Analytic Approach, Sudwestdeutscher Verlag fur Hochschulschriffen. (ISBN No. 978-38381-5352-0).

Year 2015

  1. Om Parkash, Mukesh and Radhey S. Singh (2015): “Applications of maximum entropy principle in formulating solution of constrained non-linear programming problem” Journal of Statistical and Econometric Methods 4(2): 45-60.
  2. Om Parkash and Mukesh (2015): “A study of distribution and fluctuations of energy for the generalized entropy” Mathematical Modeling Optimization and Information Technology, Lambert Academic Publishers, 15-28.

Year 2014

  1. Om Parkash and Mukesh (2014): “Applications of information measures for the study of Gaussian distributions” Canadian Journal of Pure and Applied Science, 8(1): 2795-2799.
  2. Om Parkash and Mukesh (2014): “Directed divergence as a measure of similarity” International Journal of Pure and Applied Mathematics, 91(2): 209-218.
  3. Om Parkash and Mukesh (2014): “Portfolio optimization using measures of cross entropy” Canadian Journal of Pure and Applied Science, 8(2): 2963-2967.
  4. Om Parkash and Mukesh (2014): “Energy fluctuations in the cannonical ensemble for the generalized entropy” Mathematical Modeling and Applications, Lambert Academic Publishers, 33-41.
  5. Om Parkash and Mukesh (2014): “A study of maximum entropy principle for queueing theory” Mathematical Modeling and Applications, Lambert Academic Publishers, 5-18.
  6. Mukesh Grover (2014):  Mathematics- Opening of the third eye, Create space Independent publishing, ISBN- 97-8149-739-1550. (Kindle Edition)
  7. Mukesh Grover (2014): Numerical and Statistical Methods, tech India publication series, Satya Prakashan, New Delhi, ISBN- 81-7684-600-7692.

Year 2013

  1. Om Parkash and Mukesh (2013): “Relation between information measures and chi-square distribution” International Journal of Pure and Applied Mathematics, 84(5), 517-524.
  2. Mukesh Grover, Arun kumar Tomer (2013): “A new approach to evaluate higher order differential equations by differential transformation method and homotopy perturbation method using boundary value problems”, International Journal of Elixir Applied Mathematics, 55-A, 13351-13355.
  3. Mukesh Grover, Arun kumar Tomer (2013): “Comparison in between differential transformation method and variation of parameter method for higher order boundary value problem”, International Journal of Elixir Applied Mathematics,  65-A, 20009-20015.

Year 2012

  1. Singh K, Kanwar V (2012):  On L-1 convergence of Fourier Series, International Journal of Mathematical Sciences and Applications, (Vol.2) , 259-264.
  2. Singh K, Kanwar V (2012):  On L-1 convergence of cosine series with particular coefficients, Global Journal of Theoretical and Applied Mathematical Sciences, (Vol.2), 157-168.
  3. Yogesh K,  Singh K,  Suchreet K (2012): On finding  Suceeding and Proceeding term of any fraction, American Journal of Mathematics and Mathematical Sciences, 117-120.
  4. Om Parkash and Mukesh (2012): “New generalized parametric measure of entropy and cross-entropy”, American Journal of Mathematics and Sciences, 1, 91-96.
  5. Om Parkash and Mukesh (2012): “Development of optimizational principle for minimizing risk in portfolio analysis”, Global and Stochastic Analysis: An International Journal, 2(1), 21-26.
  6. Mukesh, G. S. Buttar and A. K. Thukral (2012): “Generating information measures via matrix over probability spaces”, International Journal of Pure and Applied Mathematics, 81(5), 723-735.
  7. Mukesh Grover, Arun kumar Tomer (2012): “A New Technique to Solve Higher Order Ordinary Differential equations”, International Journal of Computer Sciences, 3(1), 234-239.
  8. Mukesh Grover, Arun kumar Tomer (2012): “New Variational iteration decomposition method for solving twelfth order boundary value problems”, International Journal of the Physical Sciences, 7 (1), 81-88.
  9. Mukesh Grover, Arun kumar Tomer (2012): “Solving Numerical Solution of Nonlinear Fredholm Integral Equation of the second kind with Quadrature Methods”,  International Journal of Modern Mathematical Sciences, 1(2), 44-52.
  10. Mukesh Grover (2012): An Application of MATLAB in Runge - Kutta Methods of Higher order with Ordinary Differential Equation, Conference National proceedings published under ISBN No. 978-81-920674-0-7(Advanced Mathematics and its Applications), Vol: 1, pp.188-193. ( Chaired a Session & “INVITED TALK”)
  11. Mukesh Grover (2012): Numerical Solution with Ordinary Differential Equation and using MATLAB, Conference National proceedings published under ISBN No. 978-93-81361-07-8, Vol:21, pp. 22-27.

 

Year 2011

  1. Singh K, Kanwar V (2011):  L-1 Convergence of derivative of modified cosine sums of Fourier Series, International Journal of Mathematics Research, (Vol.3), 573-578.
  2. Om Parkash and Mukesh (2011): “Two new symmetric divergence measures and information inequalities”, International Journal of Mathematics and Applications, 4, 165-179.
  3. Mukesh Grover, Arun kumar Tomer (2011): “A New Approach to Evaluate Second Kind of Volterra Integral Equation with Homotopy Perturbation Method and Variational Iteration Method”, International Journal of Applied Engineering Research and Technology, 1, 24-29.
  4. Mukesh Grover, Arun kumar Tomer (2011): “A New Approach to Evaluate Fredholm and Volterra Integral Equations with Homotopy Analysis Method”, Fusion International Journal of Interdisciplinary Approaches, 2, 65-77.
  5. Mukesh Grover, Arun kumar Tomer (2011): “A New Technique to Solve Higher Order Integral Differential Equations with Variational Iterative Method”, International Journal of Advances in Science and Technology, 3(3), 21-29.
  6. Mukesh Grover, Arun kumar Tomer (2011): “Comparison of Variational Iteration Decomposition Method with Optimal Homotopy Asymptotic of Higher Order Boundary Value Problems”, International Journal of Scientific & Engineering Research,  2(9), 1-5.
  7. Mukesh Grover, Arun kumar Tomer (2011): “Comparison of Optimal Homotopy Asymptotic Method with Homotopy Perturbation Method of Twelfth Order Boundary Value Problems”, International Journal on Computer Science and Engineering, 3(7) 2739-2747.
  8. Mukesh Grover, Arun kumar Tomer (2011): “New Numerical Methods for Solving Non-linear Equations and Calculate Estimate Error’’, International Journal of Operations Research and Optimization, 2(1), 91-98.
  9. Mukesh Grover, Arun kumar Tomer (2011): “A New Approach to Evaluate 12th Order Boundary Value Problems with HPM”, International Journal  of Computational Mathematics and Numerical Simulation, 4(1), 99-112.
  10. Mukesh Grover (2011): A New Technique to Solve Higher Order Ordinary Differential equations, Conference on Recent Trends in Mathematics and Computing, National proceeding, Vol:2, RTMC No. 8.
  11. Mukesh Grover, Kiran preet, Neetu (2011): International proceeding, Research Methodologies in Operation Management, Proceedings of EDULEARN11 Conference. Barcelona, Spain, 1, 005763-005768.
  12. Mukesh Grover (2011): Numerical Methods, tech India publication series, Satya Prakashan, New Delhi, ISBN- 12-3456-717-3498.

 

Year 2010

  1. Om Parkash, Mukesh and A. K. Thukral (2010): “Measuring randomness of association through coefficient of non-determination”, Advances in Information Theory and Operations Research, VDM Verlag, 46-55.

 

Year 2009

  1. Singh K, Kaur K : On L-1 Convergence of  Certain Generalised  Modified Trigonometric sums, Matematicki Vesnik, 2009 (Vol.61),  219-226.

  2.  

Year 2008

  1. Singh K, Kaur  K (2008): On L-1 Convergence of  Modified Cosine Sums, Georgian Mathematical Journal, (VOl.15), 71-75.

 

Year 2003

  1. Kanwar V, Singh K, Mamta (2003): An upper bound on the growth rate of a linear in stability in an inviscid compressible subsonic parallel shear flow, Pure and Applied Mathematics, 1533-1538.