Dr. Rajni Arora
Assistant Professor
Department of Mathematics
rajni@svc.ac.in
Educational Qualifications
- Ph.D. in Mathematics
- M.Sc. in Mathematics
- B.Sc.(Hons) Mathematics
Areas of Specialization
- Differential equations
- Numerical Analysis
Administrative roles/ responsibilities
- Member of sports committee, SVC (2019-21)
Courses Taught
- Probability Theory and Statistics, C++ programming, Linear Algebra, Differential Equations, Numerical Methods, LaTeX and HTML, Statistical Software: R, Algebra, Calculus
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Rajni Arora, Swarn Singh, Suruchi Singh, Exponential b-spline collocation method for the numerical solution of one-space dimensional non linear wave equation with strong stability preserving time integration, International Journal of Advance Research in Science & Engineering, 04(11), (2015)
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Swarn Singh, Suruchi Singh, Rajni Arora, New highly accurate stable schemes for the solution of telegraphic equation with Neumann boundary conditions, Neural, parallel and Scientific Computations, 24, 1-14, (2016)
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Swarn Singh, Suruchi Singh, Rajni Arora, Numerical solution of second order one dimensional hyperbolic equation by exponential B-spline collocation method, Numerical Analysis and Applications, 10(2), 164-176, (2017)
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Swarn Singh, Suruchi Singh, Ping Lin, Rajni Arora, Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions, Numerical Methods of Partial Differential Equations, 1–21, (2018); DOI: 10.1002/num.22299
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Swarn Singh, Suruchi Singh, Rajni Arora, An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations, East Asian Journal on Applied Mathematics, (2019);DOI: 10.4208/eajam.280118.100518
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Rajni Arora, Swarn Singh, Suruchi Singh, Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method, Mathematical Sciences, 14, 201–213, (2020). https://doi.org/10.1007/s40096-020-00331-y