Publications

PUBLISHED/ACCEPTED PAPERS IN JOURNALS (SCI AND SCOPUS)

1.     H. Singh, “Approximate solution of fractional vibration equation using Jacobi polynomials”, “Applied Mathematics and Computation”, Vol. 317 (2018) 85-100. (Elsevier). 

2.   H.Singh, “An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics”, “Astrophysics and Space science’’. Vol. 363 (4) (2018) 363-71. (Springer).

3.  H. Singh, Analysis for fractional dynamics of Ebola virus model, Chaos solitons & fractals, 138, 109992, 2020. (Elsevier).

4. H. Singh, Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells, Chaos, Solitons & Fractals 146, 110868 (Elsevier).

5. H. Singh, Jacobi collocation method for the fractional advection‐dispersion equation arising in porous media, Numerical methods for partial differential equations, 2020. (Wiley).

6. H. Singh, Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems, I. J. Nonlinear science and numerical simulations, 2021. (De-Gruyter).

7.  H. Singh, “A New Numerical Algorithm for Fractional Model of Bloch Equation in Nuclear Magnetic Resonance”, “Alexandria Engineering Journal”. Vol. 55 (2016), 2863-2869.  (Elsevier).  

8.    H. Singh, “Operational matrix approach for approximate solution of fractional model of Bloch equation”, “Journal of King Saud University- Science”. 29 (2) (2017), 235-240. (Elsevier).

9.   H. Singh, “Solution of fractional Lienard equation using Chebyshev operational matrix method”, “Nonlinear Sci. Lett. A”. Vol. 8 (4) (2017), 397-404.

10.   H. Singh, “A new stable algorithm for fractional Navier-Stokes equation in polar coordinate”, “International Journal of Applied and Computational Mathematics”. 3 (4), (2017), 3705-3722. (Springer).

11.  H. Singh, Solving a class of local and nonlocal elliptic boundary value problems arising in heat transfer, Heat Transfer, 2021. (Wiley) (Scopus).

12.  H. Singh, Numerical Simulation for Fractional Delay Differential Equations, International journal of dynamic and control, (2020). (Springer).

13. H. Singh, H. M. Srivastava, D. Kumar,“A reliable algorithm for the approximate solution of  the nonlinear Lane-Emden type equations arising in astrophysics”, “Numerical Methods for Partial Differential Equations”, Vol. 34 (5) (2018), 1524-1555. (Wiley).

14. H. Singh, H. M. Srivastava, D. Kumar,“A reliable numerical algorithm for the fractional vibration equation”, “Chaos, Solitons and Fractals”. Vol. 103 (2017), 131-138. (Elsevier). 

15.  C. Singh, H. Singh, V. K. Singh, Om P. Singh, “Fractional order operational matrix methods for fractional singular integro-differential equation”, Applied Mathematical Modelling, Vol. 40 (2016), 10705-10718. (Elsevier)

16. H. Singh, R. K. Pandey, D. Baleanu, “Stable numerical approach for fractional delay differential equations”, “Few-Body System”, Vol. 58 (2017), 156. (Springer).

17.  H. Singh, M. R. Sahoo, Om P. Singh, “Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws”, Electronic journal of differential equation, Volume 2015 (2015), No. 01, Pages 1-12.  (Texas State University).

18. M. R. Sahoo, H. Singh, “Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws II”, Electronic journal of differential equation, Volume 2016 (2016), No. 94, Pages 1-14.  (Texas State University)

19.  H. Singh, C. S. Singh, “Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix”, “Ain Shams Engineering Journal”, 9 (2018), 717-725. (Elsevier)

20. H. Singh, C. S. Singh, “A reliable method based on second kind Chebyshev polynomial for the fractional model of Bloch equation”, “Alexandria Engineering Journal”57 (3) (2018), 1425-1432.(Elsevier).

21. H. Singh, M. R. Sahoo, Om P. Singh, “Numerical method based on Galerkin approximation for the fractional advection-dispersion equation”,“International Journal of Applied and Computational Mathematics”, 3 (3), (2017), 2171-2187. (Springer)

22.   H. Singh, H. M. Srivastava, Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients, Physica A 523 (2019), 1130-1149. (Elsevier)

23.  C. S. Singh, H. Singh, Somveer Singh, Devendra Kumar, An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics, Physica A 525 (2019), 1440-1448. (Elsevier).

24.  H. Singh, Devendra Kumar, Jagdev Singh, C.S. Singh, A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation, Engineering Transactions, 67(1): (2019) 21–34.

25. H. Singh, R. K. Pandey, H .M .Srivastava, Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials, Mathematics, 7 (3), (2019), 224. MDPI.

26.  H. Singh, R. K. Pandey, J. Singh, M. P. tripathi, A reliable numerical algorithm for fractional advection-dispersion equation arising in contaminant transport through porous media, Physica A 527 (2019), 121077. (Elsevier).

27.  H. Singh, F. A. Ghassabzadeh, E. Tohidi, C. Cattani, Legendre spectral method for the fractional Bratu problem, Mathematical Methods in the Applied Sciences 43 (9), 5941-5952, 2020. (Wiley)

28.  H. Singh, D Baleanu, HM Srivastava, H Dutta, NK Jha, Solution of multi-dimensional Fredholm equations using Legendre scaling functions, Applied Numerical Mathematics 150, 313-324, 2020. (Elsevier).

29.  H. Singh, H. M. Srivastava, Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials, Applied Sciences 10 (8), 2850, 2020. (MDPI).

30. S Tiwari, RK Pandey, H Singh, J Singh, Embedded Pseudo-Runge-Kutta Methods for First and Second Order Initial Value Problems, Science & Technology Asia 25 (1), 128-141, 2020.

31. H. Singh, H. M. Srivastava, Numerical Investigation of the Fractional-Order Liénard and Duffing Equations Arising in Oscillating Circuit Theory, Front. Phys. 8:120, 2020.

32.  H. Singh, R. K. Pandey, “Approximate numerical solutions of fractional model of linear delay differential equation using Legendre scaling functions” published in proceedings of International conference on Fractional Differentiation and its Applications Novi Sad Serbia, July 18-20, 2016.

33.  H. Singh, D. Kumar, R. K. Pandey, An efficient computational method for the time-space fractional Klein-Gordon equation, Frontier in Physics 2020.

34. H. Singh, R. K. Pandey, D. Kumar, A Reliable Numerical Approach for Nonlinear Fractional Optimal Control Problems, I. J. Nonlinear science and numerical simulations, 22(5), 495-507,  (2020).  (De-Gruyter) 

35.  H. Singh, D. Baleanu, J. Singh, H. Dutta, Computational study of fractional order smoking model, chaos solitons & fractals, 110440, 2020.

36.  H. Singh, H. M. Srivastava, Z. Hammouch, K. S. Nisar, Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19, Results in Physics, 20, 103722, 2021. (Elsevier)

37. F. A. Ghassabzadeh, E. Tohidi, H. Singh, S. Shateyi, RBF collocation approach to calculate numerically the solution of the nonlinear system of qFDEs, Journal of King Saud University - Science, 33 (2), 2021. (Elsevier)

38. P. Veeresha, D, G, Prakasha, A. H. Abdel-Aty, H. Singh, E. E. Mahmoud, S. Kumar, An efficient approach for fractional nonlinear chaotic model with Mittag-Leffler law, Journal of King Saud University - Science, 33 (2), 2021. (Elsevier)

39. H. Singh, A. K. Singh, R. K. Pandey, D. Kumar, J. Singh, An efficient computational approach for fractional Bratu’s equation arising in electrospinning process, Mathematical methods in applied sciences, 44(13), 10225-10238, 2021. (Wiley)

40. H. Singh, A. M. Wazwaz, Computational Method for Reaction Diffusion-Model Arising in a Spherical Catalyst, I. J. Applied and computational mathematics, 7, 65, 2021. (Springer)

41. M. K. Srivastava, P. Singh, V. K. Shukla, H. Singh, V. Singh, Multi-switching compound synchronization of different chaotic systems with external disturbances and parametric uncertainties via two approaches, I. J. Applied and computational mathematics, 2021. (Springer)

42. H. Singh, A. K. Singh, Numerical simulation for fractional Bloch equation arising in nuclear magnetic resonance, Nonlinear Studies 28 (2), 531-548. (Elsevier).

43. V. M. Tripathi, H. M. Srivastava, H. Singh, Chetan Swarup, Sudhanshu Aggarwal, Mathematical Analysis of Non-Isothermal Reaction-Diffusion Models Arising in Spherical Catalyst and Spherical Biocatalyst, Appl. Sci. 2021, 11, 10423. (SCI) (MDPI)

44. V. K. Baranwal, R. K. Pandey, M. P. Tripathi, H. Singh, Sushila, Semi-Analytic Solutions of Electrohydrodynamic Flow in a Circular Cylinder Conduit, Science & Technology Asia 26 (4), 182-196, 2021. (Scopus).

45. M. S. Panwar, C. P. Yadav, H. Singh, T. M. Jawa, N. Ahmad, Latent Growth Curve Modeling for COVID-19 Cases in Presence of Time Variant Covariate, Computational Intelligence and Neuroscience, Volume 2022, Article ID 3538866. Hindawi (SCI).

46. Amit K. Pandey, Manoj P. Tripathi, H. Singh*, Pentyala S. Rao, Devendra Kumar, Dumitru Baleanu, “An efficient algorithm for the numerical evaluation of pseudo differential operator with error estimation” AIMS Mathematics, (2022). AIMS Press (SCI).

BOOK CHAPTERS

1.  H. Singh, “An efficient computational method for non-linear fractional Lienard equation arising in oscillating circuits”, Methods of Mathematical Modelling: Fractional Differential Equations, published by CRC Press Taylor & Francis Group.

2.  R. K. Pandey, H. Singh, An Efficient Numerical Algorithm to Solve Volterra Integral Equation of Second Kind, Theory and Applications, published by Springer Nature. (2021).

3.  Ram K Pandey, Neelam Tiwari, H. Singh, “An Efficient Numerical Algorithm to Fractional Differential Equations, Handbook of Fractional Calculus for Engineering and Science”, published by CRC Press Taylor & Francis Group, 2022.

4. H. M. Srivastava, Khaled M. Saad, M. M. Khader, H. Singh, “Spectral Collocation Method Based Upon Special Functions for Fractional Partial Differential Equations”, Handbook of Fractional Calculus for Engineering and Science, published by CRC Press Taylor & Francis Group, 2022.

5.  H. Singh, C. S. Singh, Jogendra Kumar, Mayank Srivastava, “Analysis for modified fractional epidemiological model for computer viruses”, Methods of Mathematical Modelling: Infectious Disease, published by Elsevier Science.