Dr. Twinkle Rajiv Kumar Singh
My Social Links

Dr. Twinkle Rajiv Kumar Singh

Associate Professor
Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Sūrat, Gujarat, India

Highest Degree
Ph.D. in Engineering Mathematics from Sardar Vallabhbhai National Institute of Technology, India

Share this Profile

Area of Interest:

Engineering
100%
Mathematics
62%
Engineering and Technology
90%
Ground Modification Technology
75%
Fluid Mechanics
55%

Research Publications in Numbers

Books
0
Chapters
7
Articles
45
Abstracts
10

Selected Publications

  1. Choksi, B.G., T.R. Singh and R.K. Singh, 2019. An Approximate Solution of Fingering Phenomenon Arising in Porous Media by Successive Linearisation Method. In: Numerical Heat Transfer and Fluid Flow, Srinivasacharya, D. and K. Srinivas Reddy (Eds.)., Springer, Singapore, pp: 1-8.
  2. Shah, K. and T. Singh, 2018. The combined approach to obtain approximate analytical solution of instability phenomenon arising in secondary oil recovery process. Comput. Applied Math., 37: 3593-3607.
    CrossRef  |  Direct Link  |  
  3. Shah, K. and T. Singh, 2017. The modified homotopy algorithm for dispersion phenomena. Int. J. Applied Comput. Math., 3: 785-799.
    CrossRef  |  Direct Link  |  
  4. Shah, K. and T. Singh, 2017. An approximate solution of θ-based richards’equation by combination of new integral transform and homotopy perturbation method. J. Nig. Math. Soc., 36: 85-100.
  5. Shah, K., 2016. Solution of burger's equation in a one-dimensional groundwater recharge by spreading using q-homotopy analysis method. Eur. J. Pure Applied Math., 9: 114-124.
    Direct Link  |  
  6. Singh, T., 2015. A study on analytic solution of Burger's equation arising in longitudinal dispersion phenomenon in groundwater flow. Elixir Applied Math., 81: 1681-1685.
  7. Shah, K. and T. Singh, 2015. A solution of the Burger's equation arising in the longitudinal dispersion phenomenon in fluid flow through porous media by mixture of new integral transform and homotopy perturbation method. J. Geosci. Environ. Protect., 3: 24-30.
  8. Pathak, S.P. and T. Singh, 2015. Solution of coupled non-linear system by optimal homotopy analysis method. Int. J. Con. Comp. Infrom. Technol., 3: 1-6.
  9. Pathak, S. and T. Singh, 2015. Optimal homotopy analysis methods for solving the linear and nonlinear fokker-planck equations. Br. J. Math. Comput. Sci., 7: 209-217.
  10. Singh, T., 2014. Hematical modelling for detecting diabetes. Int. J. Modern Math. Sci., 11: 24-31.
    Direct Link  |  
  11. Pathak, S.P. and T. Singh, 2014. An analysis on groundwater recharge by mathematical model in inclined porous media. Int. Scholarly Res. Notices, Vol. 2014. 10.1155/2014/189369.
    CrossRef  |  
  12. Patel, K.K., M.N. Mehta and T.R. Singh, 2014. Application of homotopy analysis method in one-dimensional instability phenomenon arising in inclined porous media. Am. J. Applied Math. Stat., 2: 106-114.
  13. Patel, K.K., M.N. Mehta and T.R. Singh, 2014. A solution of boussinesq's equation for infiltration phenomenon in unsaturated porous media by Homotopy analysis method. Int. Organ. Sci. Res., 4: 1-8.
    Direct Link  |  
  14. Patel, K.R., M.N. Mehta and T.R. Patel, 2013. A mathematical model of imbibition phenomenon in heterogeneous porous media during secondary oil recovery process. Applied Math. Modell., 37: 2933-2942.
    CrossRef  |  Direct Link  |  
  15. Patel, K., M.N. Mehta and T.R. Singh, 2013. A solution of one-dimensional dispersion phenomenon by homotopy analysis method. Int. J. Mod. Eng. Res., 3: 3626-3631.
  16. Singh, T., 2012. A solution of longitudinal dispersion of miscible fluid flow through porous media by Bender-Schmidt method. Ultra Sci., 24: 63-66.
  17. Patel, T., M.N. Mehta and V.H. Pradhan, 2012. The numerical solution of Burger’s equation arising into the irradiation of tumour tissue in biological diffusing system by homotopy analysis method. Asian J. Applied Sci., 5: 60-66.
    Direct Link  |  
  18. Patel, K., M.N. Mehta and T. Patel, 2012. A series solution of moisture content in vertical groundwater flow through unsaturated heterogeneous porous media. Int. J. Math. Eng., 159: 1467-1477.
  19. Singh, T., 2011. The classical solution of burger's equation arises into the fingering phenomena in fluid flow through homogeneous porous media. Applied Math., 1: 84-86.
    CrossRef  |  Direct Link  |  
  20. Patel, K.R., M.N. Mehta and T.R. Patel, 2011. The power series solution of fingering phenomenon arising in fluid flow through homogeneous porous media. Int. J. Applic. Applied Math., 6: 497-509.
    Direct Link  |  
  21. Patel, K.R., M.N. Mehta and T.R. Patel, 2011. An approximate solution of imbibition phenomenon in multiphase flow through porous media. Int. J. Applied Math. Eng. Res., 5: 113-121.
  22. Patel, K., M.N. Mehta and T.R. Singh, 2011. Power series solution of fingero-imbibition phenomenon in double phase flow through homogeneous porous media. Int. J. Applied Math. Mech., 7: 65-77.
  23. Patel, T. and M.N. Mehta, 2010. A solution of the burger's equation arising into the instability phenomenon in fluid flow through porous media. Int. J. Applied Eng. Res., 5: 47-54.
  24. Patel, T. and M.N. Mehta, 2008. A solution of the burger's equation of the fingero-imbibition phenomenon in double phase flow through porous media. Int. J. Applied Sci. Comput., 15: 93-98.
  25. Patel, T. and M.N. Mehta, 2007. Simulation of an approximate solution of seepage of groundwater in porous media on sloping bedrock. Acta Ciencia Indica Math., 33: 445-451.
  26. Patel, T., 2006. A solution to the problem of seepage of groundwater flow in a heterogeneous porous media on slopping bedrock taking numerical approach. Ultra Sci., 18: 29-34.
  27. Patel, T. and M.N. Mehta, 2006. The solution of seepage of groundwater flow in a heterogeneous porous media by using shooting method approach. J. Nanabha, 36: 55-60.
  28. Patel, T. and M.N. Mehta, 2006. A classical solution of the burger's equation arising into the imbibition phenomenon in double phase flow through homogeneous porous media. Int. J. Phys. Sci. Ultra Scient. Phys. Sci., 18: 255-260.
  29. Mehta, M.N. and T. Patel, 2006. A solution of Burger's equation type one dimensional ground water recharge by spreading in porous media. J. Indian Acad. Math., 28: 25-32.
  30. Patel, T. and M.N. Mehta, 2005. The classical solution of the Burger’s equation arising into the one dimensional ground water recharge by spreading in porous media. Varahmihir J. Math. Sci., 5: 453-458.
  31. Patel, T. and M.N. Mehta, 2005. A solution of the Burger's equation for longitudinal dispersion of miscible fluid flow through porous media. Indian J. Petroleum Geol., 14: 49-54.