Research interests:
Numerical Analysis
Differential equations
Publications:
Aarthika K, V. Shanthi, and H. Ramos, A numerical approach for solving a weakly coupled system of two-parameter singularly perturbed differential equations with non-smooth data, Applied Mathematics and Computation,434, 127409. (SCI) [2022] Download
Aarthika K, Ram shiromani and V. Shanthi, A higher-order finite difference methodology for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem, Computers and Mathematics with Applications, 118, 56-73. (SCI) [2022] Download
Aarthika K, V. Shanthi, and H. Ramos, A finite difference scheme for a coupled system of singularly perturbed time dependent reaction-diffusion equations with discontinuous source terms, International Journal of Computer Mathematics, 98(1), 120-135. (SCIE) [2021] Download
Aarthika K, and V. Shanthi, Finite difference upwind schemes for system of two coupled parabolic type of convection diffusion equation with non-smooth terms, Mathematics in Engineering, Science and Aerospace, 11(2), 269-282. (SCOPUS) [2020] Download
Aarthika K, V. Shanthi, and H. Ramos, A non-uniform difference scheme for solving singularly perturbed 1D parabolic reaction-convection-diffusion systems with two small parameters and discontinuous source terms, Journal of Mathematical Chemistry, 58(3), 663-685. (SCI) [2020] Download
V P Ramesh, Priyanga Baskaran, Aarthika Krishnamoorthy, Divya Damodaran and Preethi Sadasivam, Back propagation neural network based big data analytics for a stock market challenge, Communications in Statistics-Theory and Methods, 48(14): 3622-3642. (SCIE) [2019] Download
Conference papers:
Aarthika, K. Shanthi, V. (2020) Numerical Approximation of a Two-Parameter Singularly Perturbed Parabolic Weakly Coupled System with Discontinuous Convection and Source Terms, International Conference on Advances in Differential Equations and Numerical Analysis(ADENA-2020), Indian Institute of Technology, Guwahati, India, October 12-15, 2020.
Aarthika, K. Shanthi, V. (2019) Two Parameter Singularly Perturbed Reaction-Convection-Diffusion Problem, National Conference on Mathematical Analysis and Applications, National Institute of Technology, Tiruchirappalli, 19-20 December 2019.
Aarthika, K. Shanthi, V. (2019) Singularly Perturbed Convection-Diffusion Equation with Discontinuous Terms, International Workshop And Conference On Mathematical Analysis And Computation (ICMMAAC-19), National Institute of Technology, Tiruchirappalli, 02-06 December 2019.
Aarthika, K. Shanthi, V. (2019) Finite Difference Upwind Schemes for System of Two Coupled Parabolic Type of Convection-Diffusion Equation with Non-Smooth Terms, International Conference on Mathematical Modeling, Applied Analysis and Computation-2019 (ICMMAAC-19), JECRC University, Jaipur, Rajasthan, 08-10 August 2019.
Aarthika, K. Shanthi, V. and Ramos, H. (2019) A Difference Scheme for Solving Singularly Perturbed 1D-Parabolic Reaction-Convection-Diffusion Systems with Discontinuous Source Terms, International Conference Computational and Mathematics Methods in Science and Engineering (CMMSE 2019), Rota, Cadiz, Spain., June 30 to July 6, 2019.
Aarthika, K. Shanthi, V. (2019) Numerical Approach for a Coupled System of Singularly Perturbed Convection-Diffusion Problem with Non-Smooth Data, International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations(ICDECP19), Indian Institute of Technology Mandi, Himachal Pradesh, 17-19 June 2019.
Aarthika, K. Shanthi, V. (2018) System of Singularly Perturbed Parabolic Reaction-Diffusion Equation, International Conference, Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya (SCSVMV), Enathur, Kanchipuram, 17-19 December 2018.