Professor

 

• Applications of nonlinear and fractional differential equations

• Nonlinear and Fractional Differential Equations
• Mathematical Modelling,
• Wavelet transforms,
• Semi Analytical Methods

• Professor – Saveetha Engineering College (16.08.2022 till date)
• Professor – Bharath Deemed University, Chennai (06.12.2021 to 31.03.2022)
• Associate Professor - Saveetha School of Engineering (15.05.2019 to 30.06.2021)
• Assistant Professor - SASTRA Deemed University, Thanjavur (21.01.2005 to 31.10.2018)
• Lecturer in Mathematics-Marudhu Pandiyar college of arts and science, Thanjavur (01.07.1998 to 20.01.2005)

• Total academic experience- 23 years.
• Working as Professor of Mathematics at Saveetha Engineering College, SIMATS, Chennai at
• Worked as Professor of Mathematics at Bharath Institute of Higher Education and Research- 
• BIHER, Chennai from December2021 to March 2022.
• Worked as Associate Professor of Mathematics at Saveetha School of Engineering, SIMATS, Chennai from May 2019 to June 2021 (2 years 1 month).
• Worked as Assistant Professor of Mathematics at SASTRA Deemed University, Thanjavur, Tamil Nadu from January 21st 2005 to October 31^st 2018 (13 years 10 months).
• Worked as HOD of Mathematics at Marudhu pandiyar College of Arts and Science, Thanjavur, Tamil Nadu from July‟1998 to January 20^th 2005 (6 years 5 months).

• Recognized Anna University Research Supervisor, Reference No. 4170053
• Research Area: Nonlinear and Fractional Differential Equations, Mathematical Modelling, Wavelets, Semi Analytical Methods.

• Engineering Mathematics M1, M2, M3 and M4

• Discrete Mathematics
• Mathematical Statistics
• Probability and Random processes
• Probability and Queuing Theory
• Operations Research
• Classical and Modern Algebra
• Real and Complex analysis
• Numerical methods
• Transform methods (including Wavelet transforms)  

• Time table coordinator in Marudhu Pandiyar Arts and Science
• Exam coordinator for Tech. (Part-time) CIA examinations in SASTRA University.
• Visited AMITY University, Noida near to Delhi to train the students for Mathematical Olympiad in 2007.
• Visiting TCS, Chennai every year to teach Mathematics to TCS employees who are doing
• Classes through video conference to TCS employees in other parts of our
• Bridge course (for Lateral entry students) coordinator in SASTRA

• Life Member of Ramanujan Mathematical

• InternetProficient in Mat lab, Mathematica and SPSS (Mathematical and Statistical Softwares).
• Ms Word, Excel, Power point and Latex typing.

• An efficient wavelet based spectral method to singular boundary value problems, J. Math. Chem., 53 (2015) 2095-2113 (SCI Indexed, IF: 2.357).
• An efficient wavelet-based approximation method to gene propagation model arising in population biology, J. Membrane Biol., 247 (2014) 561-570. (SCI Indexed, IF: 1.991).
• A new coupled wavelet-based method applied to the nonlinear reaction-diffusion equation arising in mathematical chemistry, J.Math.Chem. 51(2013) 2386-2400. (SCI Indexed, IF: 2.357)
• Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations, J.Math.Chem., 51(2013) 2432-2454. (SCI Indexed, IF: 2.357).
• Wavelet based spectral algorithm for nonlinear dynamical systems arising in ship dynamics, Ocean Engineering, 126 (1) (2016) 321–328. (Elsevier, SCI Indexed, I.F: 3.795).
• Liao's method for a few space and time fractional reaction-diffusion equations arising in Engineering, JET 5(3) (2013) 3077-3091. (Scopus Indexed).
• An efficient analytical algorithm for wave-type and time fractional PDEs, World Applied Sciences Journal, 23(12) (2013) 15-22. (Scopus Indexed).
• Approximate analytical solutions of two dimensional transient heat conduction equations, Applied Mathematical Sciences, 6(71) (2012) 3507-3518. (Scopus Indexed).
• A new wavelet-based hybrid method for Fisher type equations, Fractals, Wavelets and their Applications, conference paper Springer proceedings in Mathematics and Statistics 92 (2014) 501-508. (Scopus Indexed).
• An efficient hybrid analytical approach to film pore diffusion model, International Journal of Mechanical and Production Engineering Research and Development (IJMPERD), 7(6) (2017) 365-376. (Scopus Indexed).
• An efficient computational algorithm for the problems arising in nonlinear dynamical systems, Materials Today: Proceedings, https://doi.org/10.1016/j.matpr.2020.08.398, September 2020 (Elsevier-Scopus).
• A new and efficient wavelet algorithm for the fractional Van der Pol oscillator, Solid State Technology, September 2020. (Scopus Indexed).
• A new and efficient wavelet algorithm for nitric oxide removal in a biotrickling filter, Solid State Technology, September 2020. (Scopus Indexed).
• Wavelet based spectral algorithm for concentration of substrate for immobilized enzymes with simple Michaelis-Menton kinetics, Solid State Technology, September 2020 (Scopus Indexed)
• A_Wavelet-Based Advanced Technique for Nonlinear Boundary Value Problems Arising in Biofiltration‟ AIP conference Proceedings, (Accepted-2022) (Scopus Indexed).
• Wavelet-based mathematical analysis of immobilizedenzymes in porous catalysts under nonlinear Michaelis–Menten kinetics -Journal of Mathematical Chemistry. (SCI-Springer) (2023). DOI: 10.1007/s10910-023-01548-7.
• A New Wavelet Collocation Algorithm for Solving a Nonlinear Boundary Value Problem of the HumanCorneal Shape-Nonlinear Dynamics, Psychology, and Life Sciences (SCOPUS-Pub Med) (2023). PMID: 37818599 WOSUID: WOS:001088624100002.
• Estimation of roll damping parameters using Hermitewavelets: An operational matrix of derivative approach-Ocean Engineering (SCI-Elsevier) (2023). DOI: 10.1016/j.oceaneng.2023.115031.
• APPLICATION OF A WAVELET COLLOCATION METHODFOR A NONLINEAR BOUNDARY VALUE PROBLEMRELATED TO MICHAELIS-MENTON UPTAKE KINETICS-Twms Journal of Applied and Engineering Mathematics. (2023).
  WOSUID: WOS:001073985000040.
• LEARNING A WAVELET-BASED ADVANCEDTECHNIQUE FOR THE REACTION-DIFFUSIONEQUATIONS ARISING IN BIOFILTRATION- Twms Journal of Applied and Engineering Mathematics. (2023). WOSUID: WOS:001073985000039.

• Estimation of roll damping parameters using Hermite wavelets: An operational matrix of derivative approach, Ocean Engineering (Elsevier) (2023) (SCI Indexed, IF: 4.372) https://doi.org/10.1016/j.oceaneng.2023.115031
• An efficient wavelet based spectral method to singular boundary value problems, J. Math. Chem., 53 (2015) 2095-2113 (SCI Indexed, IF: 2.413). DOI 10.1007/s10910-015-0536-0
• An efficient wavelet-based approximation method to gene propagation model arising in population biology, J. Membrane Biol., 247 (2014) 561-570. (SCI Indexed, IF: 2.426). DOI 10.1007/s00232-014-9672-x.
• A new coupled wavelet-based method applied to the nonlinear reaction-diffusion equation arising in mathematical chemistry, J.Math.Chem. 51(2013) 2386-2400. (SCI Indexed, IF: 2.413) DOI 10.1007/s10910-013-0217-9.
• Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations, J.Math.Chem., 51(2013) 2432-2454. (SCI Indexed, IF: 2.413). DOI 10.1007/s10910-013-0220-1.
• Wavelet based spectral algorithm for nonlinear dynamical systems arising in ship dynamics, Ocean Engineering, 126 (1) (2016) 321–328. (Elsevier, SCI Indexed, I.F: 4.372). http://dx.doi.org/10.1016/j.oceaneng.2016.09.022
• Liao's method for a few space and time fractional reaction-diffusion equations arising in Engineering, IJET 5(3) (2013) 3077-3091. (Scopus Indexed).
• An efficient analytical algorithm for wave-type and time fractional PDEs, World Applied Sciences Journal, 23(12) (2013) 15-22. (Scopus Indexed).
• Approximate analytical solutions of two dimensional transient heat conduction equations, Applied Mathematical Sciences, 6(71) (2012) 3507-3518. (Scopus Indexed).
• A new wavelet-based hybrid method for Fisher type equations, Fractals, Wavelets and their Applications, conference paper Springer proceedings in Mathematics and Statistics 92 (2014) 501-508. (Scopus Indexed).
• An efficient hybrid analytical approach to film pore diffusion model, International Journal of Mechanical and Production Engineering Research and Development (IJMPERD), 7(6) (2017) 365-376. (Scopus Indexed).
• An efficient computational algorithm for the problems arising in nonlinear dynamical systems, Materials Today: Proceedings, https://doi.org/10.1016/j.matpr.2020.08.398, September 2020 (Elsevier-Scopus).
• A new and efficient wavelet algorithm for the fractional Van der Pol oscillator, Solid State Technology, September 2020. (Scopus Indexed).
• A new and efficient wavelet algorithm for nitric oxide removal in a biotrickling filter, Solid State Technology, September 2020. (Scopus Indexed).
• Wavelet method for a class of space and time fractional telegraph equations, International Journal of Physical Sciences, 7(10) (2012) 1591-1598.
• Haar wavelets approach of travelling wave equation-A plausible solution of lightning stroke model, International Journal of Engineering and Technology,2(2) (2013) 149-156.
• Homotopy Perturbation Transform method for solving Klein-Gordan equations, IJETTCS, 1(4) (2012) 150-154.
• Solving helmholtz equation by Homotopy perturbation transform method, International journal of Mathematics and Computer Applications Research, September 2012.
• Analytical solutions for the different forms of telegraph equations by Homotopy analysis method, Global journal of science frontier research mathematics and decision sciences, May 2012.
• Analytical solutions for some of the nonlinear hyperbolic equations with variable coefficients, Global journal of science frontier research mathematics and decision sciences, May 2012.
• Analytical solutions for Cauchy Reaction-diffusion equations, Asian Journal of Current Engineering & Maths, February 2013.
• A new analytical strategy based on a wavelet computing technique for solving Fokker-Plank equation arises in stochastic phenomena, published as a preprint in Research Square, 2023, DOI: https://doi.org/10.21203/rs.3.rs-2505421/v1.
• A new wavelet collocation algorithm for solving a nonlinear boundary value problem of the human corneal shape, Nonlinear Dynamics, Psychology and Life Sciences (SCOPUS indexed)-Accepted.

• 3 papers under review

• 1 in progress

• International conferences on Number Theory in SRC-SASTRA from December 2005 to December 2017 every year.
• IEEE-International conference on changing paradigms of technology and strategic management-ICPSM, August, 2013 in SASTRA and presented a paper titled ‘Efficient wavelet based approximation method for Black-Scholes European option pricing equation’.
  ICFW-International conference on Wavelets and Fractals(ICFW-November 2013) in Rajagiri School of Engineering and Technology, Cochin, Kerala and presented a paper titled ‘A new wavelet based hybrid method for Fisher type equation’(Springer Proceedings).
• NCAPDE-National conference on Advances in Partial differential equations (December 2013) in SRC-SASTRA. One-day workshop in VIT Deemed University, Chennai on Differential equations and Transforms using MATLAB in 2013.
• Two days workshop in SASTRA Deemed University on ‘Statistical tools and techniques in Management Research’ in 2013. ICEE2K21-International Conference on Energy and Environment (2021), Syed Ammal Engineering College, Ramanathapuram and presented a paper titled ‘An efficient analytical wavelet method for a nonlinear reaction-diffusion equation related to Michaelis-Menton uptake kinetics’. International workshop on Numerical and Analytical Techniques in Engineering Problems (IWNATEP-2022) organized by the Department of Mathematics held on January 19 - 21, 2022 at SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India. One Week Faculty Development Programme on “Effective Teaching Learning Paradigms through Pedagogical Innovations” organized by the Department of Mathematics, Sathyabama Institute of Science and Technology, Chennai, from Feb 7 to Feb 12, 2022.
• Workshop on Python Programming held at the Department of Mathematics, University of Calicut, Malappuram, Kerala during 08-22 March 2022.
• International Faculty Development Programme (FDP) on Data Analytics and Machine Learning held during 21 - 25 March 2022 and jointly organized by Mizoram University and North-Eastern Hill University, India.
• ICMSA2022-International Conference on Mathematics and its Scientific Applications, Sathyabama Institute of Science and Technology, Chennai, in association with Universiti Teknologi MARA, Malaysia, conducted on 3rd & 4th March, 2022 and presented a paper titled ‘A_Wavelet-Based Advanced Technique for Nonlinear Boundary Value Problems Arising in Biofiltration’.
•  International conference on Advancements in Applicable Mathematics (ICAAM’22) organized by Department of Mathematics, S.I.V.E.T college Chennai on 7th March 2022.
• Five Day National Online FDP on “Mathematical Modelling” organized by Department of Mathematics, Sarojini Naidu Vanita Maha Vidyalaya, Hyderabad from 6th April 2022 to 11th April 2022.
• FDP titled “Advanced Latex” conducted by Division of Mathematics, School of Advanced Sciences (SAS), during June 27-29, 2022 at Vellore Institute of Technology (VIT), Chennai.
• RDFCA-2022, National conference on recent developments in fractional calculus and its applications, SASTRA University, Thanjavur and presented a paper “An efficient wavelet algorithm for the fractional view analysis of Bagley-Torvik equation”.
• ICWAGT-2022, International Conference on Wavelet Analysis and Graph Theory, SASTRA University, Thanjavur and presented a paper “Application of a wavelet collocation method for a nonlinear boundary value problem related to Michaelis-Menton uptake kinetics”.
• Two Week Online International Faculty Development Programme on "Current Trends in Applications of Mathematics" , organized by the Department of Mathematics, School of Sciences and Humanities, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Avadi, Chennai-62, Tamil Nadu, India from 21- 09-2022 to 04-10-2022.
• International Faculty Development Programme on Mathematical Modelling of Biosystems with Special Focus on Epidemiology held at Mizoram University during 22 - 27 August, 2022
• Two-Day Online National Workshop on “Mathematical Tools – MATLAB & Mathematica” organized by the Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai on 30th and 31st January 2023.

● Anna University Supervisor – Guideship No: 4170053, on 2023