Hariharan .G Maths
General Details
Email hariharanmaths.sastra.edu
School School of Humanities & Sciences
Designation SAP
Department Maths
Educational Qualifications
M.Sc.,(Maths)
PGDCA.,
PGDAOR(Applied Operations Research)
Ph.D.,
Areas of Interest
Mathematical Modeling, Reaction-Diffusion Equations, Wavelet transforms, Fractional Differential Equations,Numerical Analysis
National/International Conference Presentation Details
�Attended a one-day seminar on �Significance of Applied Mathematics for Engineers� at Adhiparasakthi Engineering College, Melmaruvathur � 603 319 on January-2003.
�Attended a one-day workshop on �Industrial Safety� at Adhiparasakthi Engineering College, Melmaruvathur-603 319 on 6th February-2003.
�Attended a one-day workshop on �Rain Water harvesting� at Adhiparasakthi Engineering College, Melmaruvathur-603 319 on December-2002.
�Participated in National Instructional Seminar on �Automata and Computation� at Annamalai University, Chidambaram on 1st and 2nd December-2002.
�Participated and presented a paper paper in National symposium on �Mathematical Methods and Applications� at IIT Madras on 22nd December-2001.
�Attended a 2-day International conference on �Number Theory and Fourier Techniques� at Srinivasa Ramanujan Center (SRC), Kumbakonam un 22nd December-2004.
�Attended a 2-day National seminar on �Application of Management tools for sustainable water resources development� on 12th and 13th December-2003.
�Participated and guided in the Below Poverty Line Survey conducted from 27th to 30th Sepetember -2003 and 11th to 12th October-2003 at Kumbakonam and Thanjavur Municipal areas, Jointly organized by SASTRA University and the Regional Directorate of Municipal administration ,Thanjavur.
�Participated in International conference on �Number Theory and Mathematical Physics� at Srinivasa Ramanujan Centre
(SRC),SASTRA,Kumbakonam on 20th and 21st Dec- 2005.
� Participated in International Conference on �Number Theory and Combinatorics� at Srinivasa Ramanujan Center (SRC),SASTRA, Kumbakonam un 19th to 22nd December-2006.
�Participated in International Conference on �Number Theory , Theoretical Physics and Special functions� at Srinivasa Ramanujan Center (SRC),SASTRA, Kumbakonam on 20th to 22nd December-2007.
�Participated in International Conference on �Number Theory and Modular forms� at Srinivasa Ramanujan Center (SRC),SASTRA, Kumbakonam on 20th to 22nd December-2008.
�Attended a Five-Day ISTE-AICTE sponsored Short-Term training programme on �Soft Computing Techniques Employed in Image Processing and Cryptography�, School of Computing,SASTRA University,Thanjavur-613 401.
�Attended a workshop on �Number Theory and Modular Forms� at SASTRA-SRC,Kumbakonam on December-10 to December-20, 2008
�Attended a national conference on �Vedic Mathematics� at SASTRA University, Thanjavur-Feb-18 & 19-2010.
� Attended a national conference on �Vedas-Source of all Sciences� at SASTRA University, Thanjavur-Feb-17-19-2011.
�Presented a paper entitled � Haar wavelet method for solving traveling wave equations� In the CHEMCON � 2008 held on December -2008 at Punjab University, Chandigarh.
Participated in National Conference on VEDAS - The Source of all sciences conducted by SASTRA University during February 17-19, 2011.
Participated in National Conference on Graph Theory - Generalizations and applications Aug 2012
Participated in International Conference the Legacy of Srinivasa Ramanujan - SRC, SASTRA University,Kumbakonam, December-2012
Participated and presented a paper entitled "Efficiemt wavelet based approximation methods for Black-Scholes European option Pricing equation" in IEEE international Conference (ICPSM-2013)- SASTRA university,2013.
Factor of Publications
Cumulative Impact Factor of Publications 78.005
Ongoing Research Projects
Completed Projects:
1. Wavelet solutions for Partial Differential Equations and Applications (May-2014 to September-2017)- DRDO-Naval Research Board (NRB)
2. Wavelet solutions to steady and unsteady state reaction-diffusion problems with the action of biosensor response at enzyme kinetics (September-2014 to September-2017)-Young Scientist fast track (DST-SERB)

Publications
ORCID URLClick here for Publication Details
International Journals
Title Name Date Authors
Wavelet based spectral algorithm for nonlinear dynamical systems arising in ship dynamics Ocean Engineering 2016 G.Hariharan,R.Rajaraman, D.Sathiyaseelan
Haar wavelet in estimating depth profile of soil temperature Applied Mathematics and Computation 2009 G.Hariharan, K.Kannan and K.R.Sharma
Haar wavelet method for solving Fishers equation Applied Mathematics and Computation 2009 G.Hariharan, K.Kannan, K.R.Sharma
Haar wavelet method for Solving Cahn-Allen equation Applied Mathematical Sciences 2009 G.Hariharan, K.Kannan
Haar wavelet method for solving some nonlinear parabolic equations Journal of Mathematical Chemistry 2010 G.Hariharan, K.Kannan
A comparative study of a Haar wavelet method and a restrictive Taylors series method for solving convection-diffusion equations International Journal for Computational Methods in Engineering Science & Mechanics 2010 G.Hariharan, K.Kannan
Haar wavelet method for solving FitzHugh-Nagumo equation International Journal of Computational and Mathematical Sciences 2010 G.Hariharan, K.Kannan
A comparison of Haar wavelet method and Adomain Decomposition Method for solving one-dimensional reaction-diffusion equations International Journal of Applied Mathematics and Computation 2010 G.Hariharan, K.Kannan
A comparative study of Haar Wavelet Method and Homotopy Perturbation Method for solving one-dimensional Reaction-Diffusion Equations International Journal of Applied Mathematics and Computation 2011 G.Hariharan, K.Kannan
Solving Finite Length Beam Equation by the Haar Wavelet Method International Journal of Computer Applications 2010 G.Hariharan
Haar Wavelet Method for Solving the Klein-Gordon and the Sine-Gordon Equations International Journal of Nonlinear Science 2011 G.Hariharan
Wavelet method for a class of space and time fractional telegraph equations International Journal of Physical Sciences 2012 G.Hariharan,R.Rajaraman and M.Mahalakshmi
Wavelet method for a class of fractional Klein-Gordon equations Journal of Computational and Nonlinear Dynamics 2013 Dr.G.Hariharan
An efficient wavelet based approximation method to gene propagation model arising in population biology The Journal of Membrane Biology 2014 R.Rajaraman and G.Hariharan
Approximate analytical solutions for two dimensional transient state equations Applied Mathematical Sciences 2012 M.Mahalakshmi,R.Rajaraman,G.Hariharan and K.Kannan
Wavelet method to film-pore diffusion model for methylene blue adsorption onto plant leaf powders Journal of Mathematical Chemistry 2012 G.Hariharan, V.Ponnusami, R.Srikanth
Solving Helmholtz equation by the homotopy perturbation transform Method International Journal of Mathematics and Computer Applications Research 2012 R.Rajaraman and G.Hariharan
Analytical solutions for some of the nonlinear hyperbolic-like equations with variable coefficients Global journal of science frontier research 2012 R.Rajaraman and G.Hariharan
An efficient wavelet based approximation method to water quality assessment model in a uniform channel Ain Shams Engineering Journal 2013 G.Hariharan
The homotopy analysis method applied to the Kolmogorov-Petrovkii-Piskunov (KPP) and fractional KPP equations Journal of Mathematical Chemistry 2012 G.Hariharan
Analytical solutions for Cauchy Reaction-diffusion equations Asian Journal of Current Engineering & Maths 2013 R.Rajaraman G.Hariharan and K.Kannan
Homotopy perturbation transform method for solving Klein-Gordon equations International Journal of Emerging Trends & Technology in Computer Science 2012 R.Rajaraman, G.Hariharan, K.Kannan
The Wavelet Method for Solving a Few Linear and Nonlinear Wave-type Equations International Journal of Modern Mathematical Sciences 2013 G.Hariharan
An Efficient Wavelet Method for Initial Value Problems of Bratu-Type Arising in Engineering Applied Mathematical Sciences 2013 G. Hariharan and P. Pirabaharan
Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations Applied Mathematics and Information Sciences 2016 P.Pirabaharan, R.David Chandrakumar
Haar wavelets approach of traveling wave equation- A plausible solution of lightning stroke model International Journal of Engineering and Technology 2013 G.Hariharan,R. Rajaraman, K. Kannan
Liaos method for a few space and time fractional reaction-diffusion equations arising in Engineering International Journal of Engineering and Technology (IJET) 2013 R.Rajaraman and G.Hariharan
A new coupled wavelet-based method applied to the nonlinear reaction-diffusion equation arising in mathematical chemistry Journal of Mathematical Chemistry 2013 G.Hariharan and R.Rajaraman
Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations Journal of Mathematical Chemistry 2013 G.Hariharan and R.Rajaraman
The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry Journal of Mathematical Chemistry 2013 G.Hariharan, M.Mahalakshmi and K.Kannan
An efficient wavelet based approximation method to time fractional Black-Scholes European option pricing problem arising in financial market Applied Mathematical Sciences 2013 S.Padma, G.Hariharan and P.Pirabaharan
Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering Applied Mathematical Modelling 2013 G.Hariharan and K.Kannan
An overview of Haar wavelet method for solving differential and integral equations World Applied Sciences Journal 2013 G.Hariharan and K.Kannan
An efficient analytical algorithm for wave-type and time-fractional PDEs World Applied Sciences Journal 2013 R.Rajaraman and G.Hariharan
Mechanism of Glucose Insulin Control in Type 1 Diabetes using Haar wavelet method Journal of Engineering and Applied Sciences 2013 R.Arangasamy, J.Sundararajan,G.Shankar and G.Hariharan
Shifted second kind Chebyshev wavelet method for a few second order differential equations arising in engineering Australian Journal of Basic and Applied Sciences 2013 M.Mahalakshmi, G.Hariharan and K.Kannan
A new wavelet based hybrid method for Fisher-type equations International conference proceedings-ICFW (Springer Verlag)-2013 2013 R.Rajaraman and G.Hariharan
Homotopy analysis method to water quality model in a uniform channel Applied Mathematical Sciences 2013 S.Padma, G.Hariharan and K.Kannan
The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry Journal of Mathematical Chemistry 2013 M.Mahalakshmi,G.Hariharan and K.Kannan
An efficient wavelet based approximation method to steady state reaction-diffusion model arising in mathematical chemistry The Journal of Membrane Biology 2014 M.Mahalakshmi and G.Hariharan
An efficient Legendre wavelet-based approximation method for a few Newell-Whitehead and Allen-Cahn equations The Journal of Membrane Biology 2014 Dr.G.Hariharan
An efficient wavelet analysis method to film-pore diffusion model arising in mathematical chemistry The Journal of Membrane Biology 2014 Dr.G.Hariharan
An efficient wavelet based approximation method for estimating the concentration of species and effectiveness factors in porous catalysts MATCH 2015 G.Hariharan, Pirabaharan, P., David Chandrakumar, R.
Chebyshev Wavelet Based Approximation Method to Some Non-linear Differential Equations Arising in Engineering International Journal of Mathematical Analysis 2015 B. Sripathy, P. Vijayaraju G.Hariharan
A new wavelet based hybrid method for solving Fishers equation Fractals, Wavelets, and their Applications: Springer Proceedings 2014 R.Rajaraman G.Hariharan
An efficient wavelet based approximation method to film-pore diffusion model arising in chemical engineering Fractals, Wavelets, and their Applications: Springer Proceedings 2014 P.Pirabaharan David Chandrakumar, G.Hariharan
An efficient wavelet based spectral method to singular boundary value problems Journal of Mathematical Chemistry 2015 R.Rajaraman and G.Hariharan
An efficient wavelet based spectral method to singular boundary value problems Journal of Mathematical Chemistry 2015 R.Rajaraman and G.Hariharan
An Efficient Wavelet-Based Approximation Method to Gene Propagation Model Arising in Population Biology The Journal of Membrane Biology 2014 R.Rajaraman and G.Hariharan
An Efficient Legendre Wavelet-Based Approximation Method for a Few NewellWhitehead and AllenCahn Equations The Journal of Membrane Biology 2014 G.Hariharan
An Efficient Wavelet Analysis Method to Film-Pore Diffusion Model Arising in Mathematical Chemistry. The Journal of Membrane Biology 2014 G.Hariharan
A new Computational Algorithm to Nonlinear Model of Heat Conduction in the Human Head International Journal of ChemTech Research 2016 Gautham Srinivasan and G.Hariharan
An Efficient Computational Method Pertaining to Concentration Profiles of Methanol and Pinene in Bio-film Phase Arising in Biochemical Engineering International Journal of ChemTech Research 2016 Gautham Srinivasan and G.Hariharan
Wavelet-Based Analytical Algorithm for Solving Steady-State Concentration in Immobilized Glucose Isomerase of Packed-Bed Reactor Model Journal of the Membrane Biology 2016 M.Salai Mathiselvi and G.Hariharan
Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations. Applied Mathematics & Information Sciences 2016 Pandy Pirabaharan, R. David Chandrakumar, G. Hariharan
An efficient probabilists Hermite wavelet method for estimating the concentration of Species in Porous Catalysts Proc.Jangjeon Math.Soc. 2016 M.Mahalakshmi and G.Hariharan
An efficient Chebyshev wavelet based analytical algorithm to steady state reactiondiffusion models arising in mathematical chemistry Journal of Mathematical Chemistry 2016 M.Mahalakshmi and G.Hariharan
Wavelet Based Analytical Expressions to Steady State Biofilm Model Arising in Biochemical Engineering. Journal of Membrane Biology 2016 S.Padma and G.Hariharan
Wavelet Based Approximation Method for Solving Wave and Fractional Wave Equations Arising in Ship Dynamics International Journal of Oceans and Oceanography 2016 S.Padma, G.Hariharan, D.Sathyaseelan and K.Kannan
A wavelet approximate solution of the reaction diffusion process in an immobilized enzymatic biocatalyst pellet Global Journal of Pure and Applied Mathematics 2016 B. Sripathy, P. Vijayaraju, G.Hariharan
, A New Spectral Approach on Steady-State Concentration of Species in Porous Catalysts Using Wavelets Journal of Membrane Biology 2017 M.Mahalakshmi, G.Hariharan
Efficient spectral methods for a class of unsteady-state free-surface ship models using wavelets , Zeitschrift fur Angewandte Mathematik und Physik 2017 G.Hariharan, D.Sathyaseelan
A New Spectral Method Applied to Immobilized Biocatalyst Model Arising in Biochemical Engineering Contemporary Engineering Sciences 2017 S. Padma, G. Hariharan and Sonia Castellucci
Parameter identification for nonlinear damping coefficient from large-amplitude ship roll motion using wavelets Beni-Suef University Journal of Basic and Applied Sciences 2017 D. Sathyaseelan, G. Hariharan , K. Kannan
Wavelet based Numerical Solution for Falkner-Skan Equation Asian Journal of Research in Social Sciences and Humanities 2017 B Sripathy, P Vijayaraju, G Hariharan
A Homotopy analysis method for the nonlinear partial differential equations arising in engineering International Journal for Computational Methods in Engineering Science and Mechanics 2017 G.Hariharan
An Optimization Wavelet Method for Multi Variable-order Fractional Differential Equations Fundamenta Informaticae 2017 MH Heydari, MR Hooshmandas, C Cattani, G Hariharan
Two reliable computational methods pertaining to steady state substrate concentration of an immobilized enzyme system Alexandria Engineering Journal 2018 M. Salai Mathi Selvi, G. Hariharan, K. Kannan, M.H. Heydari
A reliable spectral method to reaction-diffusion equations in entrapped-cell photobioreactor packed with gel granules using Chebyshev wavelets Journal of Membrane Biology 2017 M. Salai Mathi Selvi, G. Hariharan, K. Kannan
An Efficient Hybrid Analytical Approach To Film-Pore Diffusion Model Using Wavelets International Journal of Mechanical and Production Engineering Research and Development 2017 R.Rajaraman, G.Hariharan
Analytical expressions pertaining to the steady state concentrations of glucose, oxygen and gluconic acid in a composite membrane using Genocchi polynomials Arabian Journal for Science and Engineering 2018 S.Padma, G.Hariharan
A novel wavelet approximation method for the solution of nonlinear differential equations with variable coefficients arising in astrophysics Astrophysics and Space Science 2018 S.Balaji, G.Hariharan
Wavelet based spectral approach for solving surface coverage model in an electrochemical arsenic sensor - An operational matrix approach Electrochimica Acta 2018 D. Sathiyaseelan, Manju Bhargavi Gumpu, Noel Nesakumar, John Bosco Balaguru Rayappan, G. Hariharan
A New Coupled Method for a Class of Wave Equations by the Natural Decomposition Method International Journal of Pure and Applied Mathematics 2018 D.Sathiyaseelan, G.Hariharan, K.Kannan
An efficient analytical/approximation method for a class of nonlinear reaction-diffusion equations arising in Engineering International Journal of Pure and Applied Mathematics 2018 M.Salai Mathi Selvi, G.Hariharan, S.Padma
Fractional order controller design for fin stabilizing system International Journal of Pure and Applied Mathematics 2018 Mohanapriya, N. Balasubramanian, G, Ramkumar, K, Hariharan, G
National Journals
Title Name Date Authors
An efficient computational method pertaining to concentration profiles of methanol and pinene in bio-film phase arising in biochemical engineering International Journal of ChemTech Research 2016 Gautham Srinivasan
An efficient Bernstein operational matrix based algorithm for a few boundary value problems International Journal of Applied Engineering Research 2015 Pirabaharan, P., David Chandrakumar, R., Hariharan, G.


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