Dr. Julee Shahni | Mathematics | Best Researcher Award

Patna Women’s College Patna- India

Author Profile

🎓Early Academic Pursuits

Dr. Julee Shahni’s academic journey began at D.K.C. Residential High School in Bhojpur, Bihar, where she excelled with an impressive 89.3% in her Secondary School Examination (2009-2010). She continued her education at T.S. College, Hisua, Bihar, achieving 77.6% in her Intermediate of Science (2010-2012). Her passion for mathematics led her to Patna Women’s College, Patna University, where she completed her B.Sc. in Mathematics with 81.75% (2012-2015). Dr. Shahni pursued her M.Sc. in Mathematics at the Central University of South Bihar, Patna, scoring 81.6% (2015-2017). She then earned her Ph.D. in Mathematics from Birla Institute of Technology, Mesra, Ranchi, Jharkhand, with an impressive 87.5% (2018-2023).

👩‍🏫Professional Endeavors

Dr. Shahni’s professional career took a significant leap when she joined Patna Women’s College as an Assistant Professor of Mathematics in October 2023. In this role, she teaches courses such as Numerical Analysis, Numerical Methods Lab, Matrix Theory, and Vector Analysis. Her teaching philosophy emphasizes creating a supportive learning environment and fostering strong communication and interpersonal skills among her students.

📚Contributions and Research Focus

Dr. Shahni’s research specialization includes numerical methods for singular boundary value problems, nonlinear singular local/nonlocal boundary value problems, and differential and integral equations. Her notable research publications in prestigious journals reflect her expertise and contributions to the field:

  1. Journal of Computational Science – “A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden-Fowler type equations” (2024).
  2. Journal of Computational and Applied Mathematics – “Numerical solution and error analysis of the Thomas-Fermi type equations with integral boundary conditions by the modified collocation techniques” (2024).
  3. Mathematics and Computers in Simulation – “An efficient numerical approach for solving three-point Lane-Emden-Fowler boundary value problem” (2023).
  4. Applied Numerical Mathematics – “Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem” (2023).
  5. Journal of Mathematical Chemistry – “Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process” (2021).

🏅Accolades and Recognition

Dr. Shahni’s academic excellence has been recognized through various scholarships and awards, including the INSPIRE Scholarship (2012-2017), INSPIRE Junior Research Fellowship (2018-2020), and INSPIRE Senior Research Fellowship (2020-onward). She has also earned several certifications, such as the “Excellence in Peer Review: How to be an effective peer reviewer” by Taylor and Francis and participated in numerous workshops and colloquiums.

🌟Impact and Influence

Dr. Shahni’s impact extends beyond her research publications and teaching responsibilities. She has actively participated in several national and international conferences, including the 3rd International Conference on Frontiers in Industrial and Applied Mathematics (2020) and the International Conference on Advances in Differential Equations and Numerical Analysis (2020). Her contributions to the academic community are further evidenced by her membership and active participation in platforms like ResearchGate, GoogleScholar, ORCiD, and LinkedIn.

🔮Legacy and Future Contributions

Dr. Julee Shahni’s dedication to advancing the field of mathematics and her commitment to nurturing the next generation of mathematicians set a strong foundation for her future contributions. With her robust research background and a passion for teaching, Dr. Shahni is poised to make significant advancements in numerical analysis and differential equations. Her continuous involvement in high-quality research, active participation in academic conferences, and dedication to student success ensure that her legacy will inspire future mathematicians.

Citations

A total of 123 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         123
  • h-index           13
  • i10-index         6

Notable Publications

  • Title: Numerical solution and error analysis of the Thomas-Fermi type equations with integral boundary conditions by the modified collocation techniques Authors: Julee Shahni, Randhir Singh Journal: Journal of Computational and Applied Mathematics Year: 2024 Volume: 441 Article: 115701
  • Title: A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden-Fowler type equations Authors: Julee Shahni, Randhir Singh Journal: Journal of Computational Science Year: 2024 Volume: 77 Article: 102243
  • Title: New algorithm based on Hermite wavelets and Green’s function to solve Thomas-Fermi type differential equations Authors: Vivek, Kumar M., Julee Shahni Journal: Numerical Heat Transfer, Part B: Fundamentals Year: 2024 Article: In Press
  • Title: An efficient numerical approach for solving three-point Lane-Emden-Fowler boundary value problem Authors: Julee Shahni, Randhir Singh, Carlo Cattani Journal: Mathematics and Computers in Simulation Year: 2023 Volume: 210 Pages: 1–16
  • Title: Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem Authors: Julee Shahni, Randhir Singh, Carlo Cattani Journal: Applied Numerical Mathematics Year: 2023
Julee Shahni | Mathematics | Best Researcher Award

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