Mathematics

Email: vijithamukundan@sacredheartcollege.ac.in

Education

• Ph. D. from NIT Calicut
• M. Sc. from St. Thomas College, Thrissur
• B. Sc. from Vimala College, Thrissur

Teaching Experience

Royal College of Engineering and Technology, Akkikavu

Vidya Academy of Science and Technology, Thalakkotukara

• Finite difference methods
• Numerical techniques for solving nonlinear ordinary and partial differential equations
• Advanced numerical techniques
• PDE with computational methods

1. Vijitha Mukundan, Ashish Awasthi, “Efficient numerical techniques for Burgers’ equation”, Applied Mathematics and Computation, Elsevier, 262, (2015), 282-297, (SCI Indexed).
2. Vijitha Mukundan, Ashish Awasthi, “Linearized implicit numerical method for Burgers’ equation”, Nonlinear Engineering Modelling and Applications, De Gruyter, 5(4), (2016), 219-234, (Scopus Indexed).
3. Vijitha Mukundan, Ashish Awasthi, “A higher order numerical implicit method for non-linear Burgers’ equation”, Differential Equations and dynamical Systems, Springer, 25(2), (2017), 169-186, (Scopus Indexed).
4. Vijitha Mukundan and Ashish Awasthi, “Comparative study of three level explicit and implicit numerical scheme for convection diffusion equation”, Mathematical and Computationl Sciences, Proceedings of ICMACS-2015 published by NAROSA Publishing House, ISBN 978-81-8487-456-3.
5. Mayur P Bonkile, Ashish Awasthi, Lakshmi C, Vijitha Mukundan and Aswin V S “A systematic literature re- view of Burgers’ equation with recent advances”, Pramana-Journal of Physics, 90(6), (2018), 69 (SCI Indexed).
6. Vijitha Mukundan, Ashish Awasthi, “Numerical techniques for unsteady nonlinear Burgers’ equation based on backward differentiation formulas”, Nonlinear Engineering Modelling and Applications, De Gruyter, 7(3), (2018), 171-181 (Scopus Indexed).
7. Vijitha Mukundan, Ashish Awasthi, “Numerical treatment of the Modified Burgers’ equation via backward differ- entiation formulas of order two and three”, International Journal of Nonlinear sciences and numerical simula- tion, De Gruyter, 19 (7-8), (2018), 669-680, (Scopus Indexed).
8. Vijitha Mukundan, Ashish Awasthi, Aswin V S “Multistep methods for the numerical simulation of two-dimensional Burgers’ Equation”, Differential Equations and Dynamical Systems, https://doi.org/10.1007/s12591-019- 00468-w, (2019), Springer, (Scopus Indexed).

1. Vijitha Mukundan, Ashish Awasthi, “An unconditionally stable explicit method for Burgers’ equation”, National Conference on Recent Trends in Analysis and Applied Mathematics organized by the Department of Mathematics, NIT Trichy, during 09-10 May,
2. Vijitha Mukundan, Ashish Awasthi, “Numerical implementation of BDF-2 via method of lines for time dependent nonlinear Burgers’ equation”, National Conference on Mathematical Modelling and Soft Computing, College of Engineering Vadakara, during 25-26, September
3. Vijitha Mukundan, Ashish Awasthi, “Comparative study of three level explicit and implicit numerical scheme for convection-diffusion equation “, International Conference on Mathematical and Computational Sciences (ICMACS-2015) held at Don Bosco College, Angadikadavu, Kannur during 22-24, January
4. Vijitha Mukundan, Ashish Awasthi, Krishnakumar R “An explicit scheme for nonlinear Burgers’ equation”, International Conference on Emerging Trends in Scientific Computing and Security Systems at Royal College of Engineering and Technology, Akkikavu, Thrissur during 26-28, March 2015.
5. Vijitha Mukundan, Ashish Awasthi and Aswin V S “Multistep methods for the numerical simulation of two- dimensional Burgers’ equation”, International Conference on Mathematical Modeling and Computational Methods in Science and Engineering jointly organized by Ramanujan Centre for Higher Mathematics & Department of Mathematics at Alagappa University, Karaikudi during 20-22, February

• Delivered a lecture on “Elliptic Equations” in the National Level Workshop on “Partial Differential Equations and Applications – PDEA 2022” organised by Department of Mathematics, Sree Kerala Varma College, Thrissur on 3 December,
• Resource person for Faculty Development Induction Program – Royal Quality Enrichment Drive organized by IQAC, TLC & ISTE – RCET on 11 November,
• Evaluated the project presentation for Illumino Math Award (Best M.Sc Mathematics Project for the year 2021-22) instituted by Marian Research Centre for Mathematics, St. Mary’s College, Thrissur on 15 October,
• Resource person for MOOC course on “PDE and Systems of ODE” from 1 July 2022 by Consortium for Educational Communication,
• Resource Person for the SWAYAM PRABHA DTH Channel-08 Aryabhatt in Complementary Mathematics during July
• Delivered a lecture on “Introduction to Fractional Calculus” organised by the Department of Mathematics St. Mary’s College, Thrissur on 3rd August
• Resource person in the National Enrichment Program in Mathematics (NEPM 2020) organised by the Department of Mathematics, Sacred Heart College Chalakudy during 15 July 2020 to 24 July
• Resource person in the three day lecture series on “Applied Mathematics for Electronics Engineers” organized by the Department of Electronics and Communication Engineering, RCET, Akkikavu during February 15-17,

• NSS Programme Officer
• Coordinator- Electoral Literacy Club
• Coordinator- Red Ribbon Club
• Master Trainer – Digital Media and Information Literacy Campaign
• Coordinator – Student Induction Programme
• Chief Editor – College Magazine
• Coordinator- Women’s Cell