Dr. Julee Shahni
Ph.D., M.Sc.(Mathematics)
orcid : 0000-0002-1104-9075
Vidwan : 513403
BASIC INFORMATION :
- Name: Dr. Julee Shahni
- Gender: Female
- Department: Mathematics
EDUCATION
- Birla Institute of Technology, Mesra-Ph.D. (pursuing) having 87.5% 2018 – Onward Ranchi, Jharkhand, IndiaCentral University of South Bihar Patna-M.Sc.(Mathematics) having 81.6% 2015-2017 Bihar, IndiaPatna Womens’ College, (Patna University) Patna,-B.Sc. (Mathematics) having 81.75% 2012-2015Bihar, IndiaT.S. College, (BSEB) Hisua, -Intermediate of Science having 77.6% 2010-2012 Bihar, IndiaD.K.C. Residential High School, (CBSE) Bhojpur- Secondary School Examination having 89.3% 2009-2010 Bihar, India
RESEARCH DETAILS
- Research Topic : Numerical Methods for Singular Boundary Value Problems.
- Research Interests : Numerical analysis, nonlinear singular local/nonlocal boundary value problem, differential
and integral equations.
WORK EXPERIENCE
- Assistant Professor : Patna Women’s College (Since October 2023).
- Major Courses Taught : Numerical Analysis, Vector Analysis, Matrix Theory, Numerical Methods Lab, MATLAB, LaTex
for Scientific Typesetting
CERTIfiCATIONS:
- One week National -Level Online FDP on Mastering Operation Research (OR) with Advanced Tools python, SageMath, MATLAB & LaTeX Draw, June 23 to 28, 2025, Indian Mathematics Professors Association and Infinity Research and Development Institute, Coimbatore
- Three Days National Level Workshop on Mastering Visual Excellence with LaTeX Beamer & LaTeX Draw, July 10 to 12, 2025, Indian Mathematics Professors Association and Infinity Research and Development Institute, Coimbatore
- 5 Day Faculty Development Programme on Higher Education in the Current Scenario: Issues and Challenges, August 18 to 22, 2025, IQAC, Patna Women’s College (Autonomous) and United Board for Chirstian Higher Education in Asia
- 6 Day Faculty Development Programme on Seeking New Horizons: Moving Ahed Towards Excellence, July 01 to 06, 2024, Apostolic Carmel Generalate, Bengalure and IQAC, Patna Women’s College (Autonomous)
- 5-Day Faculty Development programme on Financila Mathematics, SPDE Theory, Mathematical Modelling and Current Numerical Trends, June 24 to 28, 2024, VIT-AP
- 5-Day International workshop on recent advances in differential equations and applications, VIT-AP
- Excellence in Peer Review: How to be an effective peer reviewer, May 24, 2023, Taylor and Francis
- A seven-day faculty development online program on advanced LaTeX for technical writing, May 22 to 28, 2023, SRM Institute of Science and Technology, Chengalpattu, Tamilnadu, India
- Research Scholars colloquium, Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India
- Doctoral colloquium, Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India
- Foundations of Mathematics, National Academy of Sciences, Allahabad, Uttar Pradesh, India
- 103rd Indian Science Congress, University of Mysore, Mysuru, Karnataka, India
RESEARCH PUBLICATIONS:
- Julee Shahni, Randhir Singh, Carlo Cattani, An efficient numerical approach for solving three-point
Lane-Emden-Fowler boundary value problem, Mathematics and Computers in Simulation 210 (2023) 1–16, Elsevier,
SCI Journal (IF: 3.601).
• Julee Shahni, Randhir Singh, Carlo Cattani, Bernoulli collocation method for the third-order Lane-Emden-Fowler
boundary value problem, Applied Numerical Mathematics 186 (2023) 100-113, Elsevier, SCI Journal (IF: 2.994).
• Julee Shahni, Randhir Singh, Numerical simulation of Emden–Fowler integral equation with Green’s function type
kernel by Gegenbauer-wavelet, Taylor-wavelet and Laguerre-wavelet collocation methods, Mathematics and
Computers in Simulation 194 (2022) 430-444, Elsevier, SCI Journal (IF: 3.601).
• Julee Shahni, Randhir Singh, Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising
in electrospinning process, Journal of Mathematical Chemistry, Vol. 59 (10), (2021) 2327–2343, Springer, SCI Journal
(IF: 2.413).
• Julee Shahni, Randhir Singh, A fast numerical algorithm based on Chebyshev-wavelet technique for solving
Thomas-Fermi type equation, Engineering with Computers 38 (04) (2022) 3409–3422, Springer, SCI Journal (IF:
8.083).
• Julee Shahni, Randhir Singh, Numerical solution of system of Emden-Fowler type equations by Bernstein collocation
method, Journal of Mathematical Chemistry, Vol. 59 (04), (2021) 1117-1138, Springer, SCI Journal (IF: 2.413).
• Julee Shahni, Randhir Singh, Laguerre wavelet method for solving Thomas-Fermi type equations, Engineering with
Computers 38 (04) (2022) 2925–2935, Springer, SCI Journal (IF: 8.083).
• Julee Shahni, Randhir Singh, Numerical results of Emden-Fowler boundary value problems with derivative
dependence using the Bernstein collocation method, Engineering with Computers 38 (01) (2022) 371–380, Springer,
SCI Journal (IF: 8.083).
• Julee Shahni, Randhir Singh, An efficient numerical technique for Lane-Emden-Fowler boundary value problems:
Bernstein collocation method, The European Physical Journal Plus, Vol. 135 (06), (2020) 475, Springer, SCI Journal (IF:
3.758).
• Randhir Singh, Julee Shahni Himanshu Garg, Apoorv Garg, Haar wavelet collocation approach for Lane-Emden
equations arising in mathematical physics and astrophysics, The European Physical Journal Plus, Vol. 134 (11), (2019)
548, Springer, SCI Journal (IF: 3.758)
CONFERENCES:
- J. Shahni, R. Singh, Shifted Chebyshev collocation method for singular boundary value problems, 3rd International
Conference on Frontiers in Industrial and Applied Mathematics, National Institute of Technology, Jamshedpur,
December 21-22, 2020.
• J. Shahni, R. Singh, Application of Chebyshev polynomial for numerical approximation of some real-life singular
differential equation, International Conference on Advances in Differential Equations and Numerical Analysis, Indian
Institute of Technology Guwahati, October 12 – 14, 2020.
• J. Shahni, R. Singh, Legendre-wavelet collocation technique for Lane-Emden-Fowler equations with local boundary
conditions,88th Annual Conference of the Indian Mathematical Society-An International Meet, Birla Institute of
Technology, Mesra, Ranchi, December 27 – 30, 2022.
