1. Mittal R.C. and Arora G., Quintic B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation, Commun Nonlinear Sci Numer Simulat., 15, 2798–2808, 2010. Citations:59 (Scopus and SCI)
  2. Mittal R.C. and Arora G., Quintic B-Spline collocation method for numerical Solution of the Extended Fisher-Kolmogorov Equation, Int. J. of Appl. Math and Mech., 6 (1) 74-85, 2010. Citations: 14
  3. Mittal R.C. and Arora G., Efficient Numerical solution of Fisher’s Equation by using B-spline method, International Journal of Computer Mathematics, 87 (13) 3039–3051, 2010. Citations: 39. (Scopus and SCI)
  4. Mittal R.C. and Arora G., Numerical solution of the Coupled Viscous Burgers’ equation, Commun Nonlinear Sci Numer Simulat., 16, 1304–1313, 2011. Citations: 80. (Scopus and SCI)
  5. G. Arora and B.K. Singh, Numerical solution of Burgers’ equation with modified cubic B-spline differential quadrature method, Applied Mathematics and Computation 224,166–177, 2013. Citations:85 (Scopus and SCI)
  6. B. K. Singh and G. Arora, A numerical scheme to solve Fisher-type reaction-diffusion equations, (An Extended Version of ICMTEA-2013), Nonlinear Studies/MESA Mathematics in Engineering Science and Aerospace, 5 (2), 153-164, 2014. Citations: 12. (Scopus)
  7. G. Arora, R. C. Mittal, B. K. Singh, Numerical solution of BBM-Burger equation with quartic B-spline collocation method, Journal of Engineering Science and Technology, 104-116, 2014 © School of Engineering, Taylor’s University, Citations:18. (Scopus)
  8. B. K. Singh, G. Arora, M. K. Singh, A numerical scheme for the generalized Burgers–Huxley equation, Journal of the Egyptian Mathematical Society (Elsevier) 24 (4), 629-637, 2016. Citations:21
  9. G. Arora and V. Joshi, Comparison of Numerical Solution of 1D Hyperbolic Telegraph Equation using B-spline and Trigonometric B-spline by Differential Quadrature Method, Indian Journal of Science and Technology, 9, 45, 1-8, 2016. Citations:7. (Scopus)
  10. G. S. Bhatia  and G. Arora, Radial Basis Function Methods for Solving Partial Differential Equations-A Review, Indian Journal of Science and Technology, 9, 45, 1-18, 2016. Citations:7 (Scopus)
  11. G. S. Bhatia and G. Arora, Radial Basis Function methods to solve Partial Differential Equations arising in Financial Applications-A Review, Nonlinear Studies, USA, 24, 1, 1-11, 2017. Citations:2. (Scopus)
  12. R. Kumar, H. Kaur and G. Arora, Numerical solution by Haar wavelet collocation method for a class of higher order linear and nonlinear boundary value problem, AIP Conf. Proc. 1860, 020038-1–020038-12, 2017. Citations:1 (Scopus)
  13. G. Arora and P. Kataria, Modified exponential based differential quadrature scheme to solve convection diffusion equation, AIP Conf. Proc. 1860, 020034-1–020034-8, 2017. (Scopus)
  14. G. Arora and Pratiksha, Solution of the Bagley Torvik equation by fractional DTM, AIP Conf. Proc. 1860, 020032-1–020032-6, 2017. (Scopus)
  15. G. Arora and M. Kaur, Numerical simulation of singularly perturbed differential equation with small shift, AIP Conference Proceedings, 1860, 020047-1–020047-9, 2017. (Scopus)
  16. G. Arora and V. Joshi, A Computational Approach for Solution of One Dimensional Parabolic Partial Differential Equation with Application in Biological Processes, Ain Shams Engineering Journal (Elsevier), 9 (4), 1141-1150, 2018. Citations:14(Scopus and SCI).
  17. B. K. Singh, G. Arora and P. Kumar, A note on solving the fourth-order Kuramoto-Sivashinsky equation by the compact finite difference scheme, Ain Shams Engineering Journal (Elsevier), 9, 1581-1589 (4), 2018. Citation:3 (Scopus and SCI)
  18. G. Arora and V. Joshi, A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions, Alexandria Engineering Journal, Elsevier, 57 (2), 1087-1098, 2018. Citations:10 (Scopus and SCI)
  19. G Arora, R Kumar, H Kaur, A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems, Ain Shams Engineering Journal, 9(4) 3015-3031, 2018. (Scopus and SCI)
  20. G Arora, Pratiksha, A Cumulative Study on Differential Transform Method, International Journal of Mathematical, Engineering and Management Sciences, 4(1), 170–181, 2019. Citations:3 (Scopus)
  21. G. Arora and V. Joshi, Numerical simulation of cable equation using Differential quadrature method, Indian Journal of Industrial and Applied Mathematics, 10(1), 1–10, 2019. (National)
  22. R. C. Mittal, Geeta Arora, Varun Joshi, Numerical Simulation of Nonlinear Schrödinger Equation in One and Two Dimensions, Mathematical Models and Computer Simulations. 11 (4), 634-648, 2019. (Scopus)
  23. M. K. Vaid and G. Arora, Solution of second order singular perturbed delay differential equation using trigonometric B-spline, International Journal of Mathematical, Engineering and Management Sciences, 4(2), 349-360, 2019. Citations:4 (Scopus)
  24.  G Arora, D Pratiksha, Solution of fractional Burgers’ equation using advanced differential quadrature method, Nonlinear Studies 26 (3), 471-486, 2019. Citation:1 (Scopus)
  25. Geeta Arora and Gurpreet Singh Bhatia, A Meshfree Numerical Technique Based on Radial Basis Function Pseudospectral Method for Fisher’s Equation, International Journal of Nonlinear Sciences and Numerical Simulation,21 (1) 37-49, 2019. (Scopus)
  26. G. Arora and V. Joshi, Simulation of Generalized Nonlinear Fourth Order Partial Differential Equation with Quintic Trigonometric Differential Quadrature Method, Mathematical Models and Computer Simulations, 2019, Vol. 11, No. 6, pp. 1059–1083. (Scopus)
  27. H. Kaur, R. Kumar, and G. Arora, “Non-dyadic wavelets based computational technique for the investigation of Bagley-Torvik equations,” Int. J. Emerg. Technol., vol. 10, no. 2, 1-14, 2019. (Scopus/UGC indexed )
  28. Mandeep Kaur Vaid, Geeta Arora, Quintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation, International Journal of Mathematical, Engineering and Management Sciences Vol. 4, No. 6, 1471–1482, 2019.( (SCI and Scopus)
  29. G. Arora, R. Kumar, and H. Kaur, “Scale-3 Haar wavelets and quasilinearization based hybrid technique for the solution of coupled space-time fractional-Burgers’ equation,” Pertanika J. Sci. Technol., vol. 28, no. 2, pp. 579–607, 2020. (Scopus).
  30. Geeta Arora, Gurpreet Singh Bhatia,       Radial Basis Function Pseudospectral Method for Solving Standard Fitzhugh-Nagumo Equation, International Journal of Mathematical, Engineering and Management Sciences, vol 5, No. 6, 1488-1497, 2020. (ESCI and Scopus)
  31. G. Arora, Pratiksha, Solution of inverse fractional Fisher’s equation by differential quadrature method, J. Phys.: Conf. Ser. 1531,1-11, (2020) 012088. (Scopus)
  32. G. Arora and V. Joshi, A Computational Approach for One- and Two-Dimensional Fisher’s Equation Using Quadrature Technique, American Journal of Mathematical and Management Sciences, Pages 145-162 (2021) (Scopus)
  33. Kamna Singh, Geeta Arora, Applications of Analytic continuation in the field of Engineering and Science, Global Journal of Scientific and Research Publications, 2021
  34. Anjali and Geeta Arora, Business of Uncertainties: An Afflict of COVID-19 on Indian Insurance, Journal of Graphic Era University, Vol. 9 2, 195–214. 2021.
  35. Geeta Arora, Gurpreet Singh Bhatia, A meshfree radial basis function method for nonlinear phi-four equation, Int. J. Nonlinear Anal. Appl. 13 (2022) 1, 2043–2052.
  36. Devshali, P., Arora, G., Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method, Nonlinear Engineering,11 (1), 135–142 (2022). (Scopus)
  37. Adarsh Bhardwaj and Geeta Arora, A Review: Differential transform in numerical study of differential equations, Journal of Physics: Conference Series, 2267,1-6 (2022) 012029. (Scopus)- From International Conference RAFAS-2021
  38. Ibrahim Adamu Abubakar, Geeta Arora, Banti Kumar, Mustapha Danjuma, The optimal number of servers in a many server queuing system, Journal of Physics: Conference Series, 2267, 1-7 (2022) 012105. (Scopus)- From International Conference RAFAS-2021
  39. Shubham Mishra, Geeta Arora, Homan Emadifar, Soubhagya Kumar Sahoo and Afshin Ghanizadeh, Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation, Advances in Mathematical Physics, 2022, Article ID 8479433, 10 pages (Scopus and SCI)
  40. Geeta Arora, Richa Rani, Homan Emadifar, Numerical solutions of nonlinear Schrodinger equation with applications in optical fiber communication, Optik – International Journal for Light and Electron Optics 266, 1-10, (2022) 169661. (Scopus and SCI)
  41. V. Aggarwal, G. Arora, H. Emadifar, F. K Hamasalh, and M. Khademi, Numerical simulation to predict COVID-19 cases in Punjab, Comput Math Methods Med, 2022, 2022, 7546393. (Scopus and SCI)
  42. Geeta Arora, Varun Joshi and R.C. Mittal, Spline-Based Differential Quadrature Approach to solve Sine-Gordon Equation in one and two Dimension, Fractals, 30 (7) 1-14, 2022, 2250153. (Scopus and SCI)
  43. G. Arora, S. Mishra, B.K. Singh, Nonlinear dynamics of the Fisher’s equation with numerical experiments, Nonlinear Studies, 2022, 29(3), 665–675. (Scopus)
  44. G Arora, R Rani, H Emadifar, Soliton: A dispersion-less solution with existence and its types, Heliyon, 1-9, 8(12), 2022. (Scopus and SCI)
  45. Geeta Arora, Pinkey Chauhan, Muhammad Imran Asjad, Varun Joshi, Homan Emadifar and Fahd Jarad, Particle Swarm Optimization for Solving Sine-Gordan Equation, Computer Systems Science and Engineering 2023, 45(3), pp. 2647–2658(Scopus and SCI).
  46. G Arora, S Mishra, H Emadifar Numerical simulation and dynamics of Burgers’ equation using modified cubic-B-spline differential quadrature method, Discrete Dynamics in Nature and Society. 1-8, 2023, 5102374 (Scopus and SCI).
  47. Mohanty, S.K, Dev, A.N, Sahoo, S.K., Emadifar, H., Arora, G., Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized G′/G -Expansion Method, Advances in Mathematical Physics, 2023,1-12, 3965804 (Scopus and SCI).
  48. Geeta Arora, Rajendra Pant, Homan Emaifar, Masoumeh Khademi, Numerical solution of fractional relaxation–oscillation equation by using residual power series method, Alexandria Engineering Journal, 73, 249-257, 2023. (Scopus and SCI).
  49. BK Singh, M Gupta, G Arora, JP Shukla, A new modification in quartic B-spline differential quadrature for telegraph equation, AIP Conference Proceedings 2875 (1), 1-10, 2023: 2nd INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCES-MODELLING, COMPUTING AND SOFT COMPUTING (CSMCS 2022) 28–30 March 2022, Manipal, India
  50. G Arora, P Chauhan, H Emadifar, M Khademi, Numerical simulation of Burger’s equation using a particle swarm optimization, International Journal of Information Technology, 1-8, 2023. (Scopus and SCI).
  51. G. Arora, G. Chettri, M. Rakhra, A. Singh, & M. F. Majumdar, (2023, February). Bhutanese students’ low performance in Mathematics dealt with IoT. In 2023 3rd International Conference on Innovative Practices in Technology and Management (ICIPTM) by AMITY UNIVERSITY (pp. 1-4). IEEE. (Scopus)
  52. R Rani, G Arora, H Emadifar, M Khademi, Numerical simulation of one-dimensional nonlinear Schrodinger equation using PSO with exponential B-spline, Alexandria Engineering Journal, 79, 644-651, 2023. (Scopus and SCI).
  53. G Arora, H Kaur, H Emadifar, S Roudgarnejad, H Emadifar, Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization, Discrete Dynamics in Nature and Society, 1-10, 2023. (Scopus and SCI).
  54. Bala, Kiran, Geeta Arora, Homan Emadifar, and Masoumeh Khademi. “Applications of particle swarm optimization for numerical simulation of Fisher’s equation using RBF.” Alexandria Engineering Journal, 84 (2023): 316-322. (Scopus and SCI).
  55. Arora G, Kiran Bala, Emadifar H, Khademi M. A review of radial basis function with applications explored. Journal of the Egyptian Mathematical Society. 1-14, 2023 Nov 8;31(1):6.
  56. Arora, Geeta, Kiran Bala, Homan Emadifar, and Masoumeh Khademi. “A Comparative Study of Particle Swarm Optimization and Artificial Bee Colony Algorithm for Numerical Analysis of Fisher’s Equation.” Discrete Dynamics in Nature and Society 1-10, 2023 (2023).
  57. Singh, B. K., Gupta, M., & Arora, G. Numerical study of sine-Gordon equation via differential quadrature based on modified quartic B-spline, Vol. 12(Special Issue IV)(2023) , 11–20, Palestine Polytechnic University-PPU.-Conference paper (Proceedings of the International Conference on Dynamical Systems and Numerical Methods, May 20-21, 2022. The Department of Mathematics, Jamia Millia Islamia, New Delhi, India.)
  58. Pant, R., Arora, G., Singh, B. K., & Emadifar, H. (2024). Numerical solution of two-dimensional fractional differential equations using Laplace transform with residual power series method. Nonlinear Engineering, 13(1), 20220347.
  59. Pant, R., Arora, G., & Emadifar, H. (2024). Elzaki residual power series method to solve fractional diffusion equation. Plos one, 19(3), e0298064. (Scopus and SCI).
  60. Rani, R., Arora, G., & Bala, K. (2024). Numerical solution of one-dimensional nonlinear Sine–Gordon equation using LOOCV with exponential B-spline. Computational and Applied Mathematics, 43(4), 1-19. (Scopus and SCI).

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