Kannan .K
Maths

##### General Details

kkannanmaths.sastra.edu | |

School | School of Humanities & Sciences |

Designation | Dean |

Department | Maths |

##### Educational Qualifications

M.Sc.,M.Phil.,M.Ed,Ph.D |

##### Areas of Interest

Computational Fluid Dynamics, |

Image Processing, |

Algorithms, |

Wavelet Transforms, |

Hypergraphs, |

Artificial Neural Network, |

Stochastic Process. |

##### National/International Conference Presentation Details

International Conferences |

1) International Conference on “Number theory and Automorphic Forms” - 22nd December 2010. |

2) International Conference on “Number theory and Mock - Theta unctions” – 22nd December 2009. |

3) International Conference on “Number theory and Modular Forms” – 2oth , 21st and 22nd December 2008. |

4) International Conference on “Number theory, theoretical Physics and Special functions” – 2oth , 21st and 22nd December 2007. |

5) International Conference on “Number theory and Combinatorics” – 19th, 2oth , 21st and 22nd December 2006. |

6) International Conference on “Number theory and Mathematical Physics” – 2oth , 21st December 2005. |

7) International Conference on “Number theory and Fourier TechniquesModular Forms” – 2oth , 21st December 2004. |

8) International Conference on “Number theory and Secure Communications” – 2oth , 21st December 2003. |

9. Invited speaker- 31st Annual Conference of Ramanujan Mathematical Society - June 18th - 21st 2016. |

National conferences: |

1)Participated and presented a research paper titled "Unsteady flow of a dusty viscous fluid through a circular cylinder, in National conference IIT , Madras 1999 |

2) National Conference on “Vedas and Sciences” – February, 2010. |

##### Factor of Publications

Cumulative Impact Factor of Publications | 65.758 |

##### Ongoing Research Projects

1. HYPERGRAPH FOR IMAGE PROCESSING(2010-2012) - Funded by Department of Science and Technology ( DST)- Government of India - ( SR/S4/MS:465/07 ) |

2.WAVELET SOLUTIONS FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS- Funded by DRDO- (NRB-322/SC/13-14) (Co-investigator). |

##### Publications

ORCID URL | Please Upload URL |

##### International Journals

Title | Name | Date | Authors |

Numerical solution of Stoke’s problem for Free Convection effects in dissipative dusty medium | International journal of Mathematics and Mathematical Sciences. | 2004 | V.VENKATARAMAN K.KANNAN |

Induced dusty flow due to normal oscillation of the wavy wall | International journal of Mathematics and Mathematical | 2001 | K.Kannan, V Ramamurthy |

Three dimensional quantum effects in nanoMOSFETs | International Conference of Recent Advances in Microwave Theory and Applications, MICROWAVE 2008 | 2008 | Ramesh, R., Madheswaran, M., Kannan, K. |

A genetic algorithm-based artificial neural network model for the optimization of machining processes | Neural Computing and Applications, | 2009 | Venkatesan, D., Kannan, K., Saravanan, R. |

On improving the performance of promoter prediction classifier for eukaryotes using fuzzy based distribution balanced stratified method | Advances in Computing, Control, & Telecommunication Technologies, 2009 | 2009 | Premalatha, C. Aravindan C. Kannan,K |

Approximating maximum weighted independent set using vertex support | World Academy of Science, Engineering and Technology | 2009 | S.Balaji, V.Swaminathan, K.Kannan |

Bounds On The Second Stage Spectral Radius Of Graphs | World Academy of Science, Engineering and Technology | 2009 | S.K.Ayyaswamy, S.Balachandran and K.Kannan |

Optimisation of unweighted vertex cover | World Academy of Science, Engineering and Technology | 2010 | S.Balaji, V.Swaminathan, K.Kannan |

Optical Effects in the Characteristics of a Nanoscale FinFET. | PIER B | 2010 | Ramesh, R., Madheswaran, M., Kannan, K. |

A Simple Algorithm for Maximum Clique and Matching Protein Structures | International Journal of Combinatorial Optimization Problems and Informatics | 2010 | S.Balaji, V.Swaminathan, K.Kannan |

A Simple Algorithm to Optimize Maximum Independent Set | AMO – Advanced Modeling and Optimization | 2010 | S.Balaji,V.Swaminathan, K.Kannan |

Free convection in an infinite porous dusty medium induced by pulsating point heat source | World Academy of Science, Engineering and Technology | 2009 | Kannan, K., Venkataraman, V. |

Unsteady Flow Of A Dusty Viscous Fluid In A Rotating Channel In The Presence Of Transverse Magnetic Field. | Global Journal of Science Frontier Research | 2010 | V. Venkataraman, K. Kannan |

Optical effects in the characteristics of uniformly doped nanoscale FinFET | Journal of Nanoelectronics and Optoelectronics, | 2010 | Ramesh, R., Madheswaran, M., Kannan, K. |

A WKB interpolation-Wavelet method for 3-D Numerical simulation of nanoscale FinFET photodetector including quantum mechanical effects | Journal of Optoelectronics and Advanced Materials | 2010 | Ramesh, R., Madheswaran, M., Kannan, K. |

Free convection in an infinite porous dusty medium induced by pulsating point heat source | International Journal of Computational and Mathematical Sciences, | 2010 | Kannan, K., Venkataraman, V. |

Optical effects on the characteristics of a nanoscale finfet | Progress In Electromagnetics Research B, | 2010 | Ramesh, R., Madheswaran, M., Kannan, K. |

Root mean square filter for noisy images based on hyper graph model | Image and Vision Computing, | 2010 | Kannan, K., Kanna, B.R., Aravindan, C. |

Optical characterization of biological tissues using nanoscale FinFET photodetector | Journal of Optoelectronics and Advanced Materials | 2010 | Ramesh, R., Madheswaran, M., Kannan, K. |

An effective algorithm for minimum weighted vertex cover problem | International Journal of Computational and Mathematical Sciences | 2010 | Balaji, S., Swaminathan, V., Kannan, K. |

Empirical Modeling and Simulation of Temporal Based Adaptive Mobility Model for MANET | Int. J. Communications, Network and System Sciences | 2011 | Ramesh, R., Madheswaran, M., Kannan, K. |

A contour based scheme for representing arbitrary shapes in digital images | International Conference and Workshop on Emerging Trends in Technology 2011, ICWET 2011 - Conference Proceedings, | 2011 | Kanna, B.R., Aravindan, C., Kannan, K. |

Meta-Heuristic for the Set Covering Problem based on a new Genetic Algorithm | International Journal of Mathematical Sciences and Applications | 2011 | K.Kannan D.Venkatesan S.Raja Balachandar |

A New Worst-Case bound of heuristic for Set Covering Problem | International Journal of Mathematical Sciences and Applications | 2011 | S.Raja Balachandar K.Kannan S.K.Ayyaswamy |

Numerical simulation of nanoscale FinFET photodetector for optimal detection of biological signals using interpolating wavelets | Progress In Electromagnetics Research B. | 2011 | Ramesh, R., Madheswaran, M., Kannan, K |

Image-based area estimation of any connected region using y-convex region decomposition | AEU - International Journal of Electronics and Communications, | 2011 | Rajesh Kanna, B., Aravindan, C., Kannan, K. |

3-D Numerical modeling and simulation of Nanoscale FinFET for the application in ULSI circuits.- Article in Press | PhysicaE : Low dimensional Systems and Nanostructures | 2011 | Ramesh, R., Madheswaran, M., Kannan, K. |

Self-consistent 3-D numerical modeling of a uniformly doped nanoscale FinFET using interpolating wavelets | Journal of Computational Electronics, | 2011 | Ramesh, R., Madheswaran.M Kannan, K. |

The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry | Journal of Mathematical Chemistry | 2013 | Mahalakshmi, M., Hariharan, G., Kannan, K. |

Optical effects on the characteristics of GaAs nanoscale FinFET with vertical Gaussian doping profile | Optik | 2013 | Ramesh, R., Madheswaran, M., Kannan, K. |

Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering | Applied Mathematical Modelling | 2013 | Hariharan, G., Kannan, K |

Generalized tree of hanging stars | International Journal of Pure and Applied Mathematics | 2013 | Sathiamoorthy, G., Raja Balachandar, S., Janakiraman, T.N., Kannan, K., Ayyaswamy, S.K. |

5 An overview of Haar wavelet method for solving differential and integral equations | World Applied Sciences Journal | 2013 | Hariharan, G and Kannan K |

A computational model for enhancing recombinant Penicillin G Acylase production from Escherichia coli DH5? | Computational Biology and Chemistry | 2012 | Premalatha, C., Aravindan, C., Karthikeyan, R., Kannan, K., Surianarayanan, M. |

A new polynomial method for solving fredholm - volterra integral equations | International Journal of Engineering and Technology 5 | 2013 | Krishnaveni, K., Kannan, K., Raja Balachandar, S. |

Approximate analytical solution for fractional population growth model | International Journal of Engineering and Technology 5 | 2013 | Krishnaveni, K., Kannan, K., Raja Balachandar, S. |

9 Wavelet solution for class of nonlinear integro-differential equations | Indian Journal of Science and Technology | 2013 | Venkatesh, S.G., Ayyaswamy, S.K., Raja Balachandar, S., Kannan, K. |

An efficient wavelet based approximation method for a few second order differential equations arising in science and engineering | International Journal of Engineering and Technology 5 | 2013 | Padma, S., Hariharan, G., Kannan, K |

A Comparative Study of a Haar Wavelet method and a restrictive Taylor Series Method for solving convection -diffiusion equations | International Journal for Computational Methods in Engineering Science and Mechanics | 2010 | Hariharan, G and Kannan K |

11 Homotopy analysis method to water quality model in a uniform channel | Applied Mathematical Sciences | 2013 | Padma, S., Hariharan, G., Kannan, K., Srikanth, R. |

Newton's law of Gravity-based search algorithms | Indian Journal of Science and Technology | 2013 | Raja Balachandar, S., Kannan, K. |

X-Domatic partition of bipartite graphs | Research Journal of Applied Sciences, Engineering and Technology | 2013 | Venkatakrishnan, Y.B., Swaminathan, V., Kannan, K. |

Effectiveness of partition and graph theoretic clustering algorithms for multiple source partial discharge pattern classification using probabilistic neural network and its adaptive version: A critique based on experimental studies | Journal of Electrical and Computer Engineering | 2012 | Venkatesh, S., Gopal, S., Kannan, K. |

Legendre wavelets based approximation method for cauchy problems | Applied Mathematical Sciences | 2012 | Venkatesh, S.G., Ayyaswamy, S.K., Raja Balachandar, S., Kannan, K |

Hypergraph-based segmentation and edge detection in gray images | Far East Journal of Mathematical Sciences | 2012 | Dharmarajan, R., Kannan, K. |

4 Optimization of fidelity in digital image watermarking using a new genetic algorithm | Applied Mathematical Sciences | 2012 | Venkatesan, D., Kannan, K., Raja Balachandar, S. |

Approximate analytical solutions of two dimensional transient heat conduction equations | Applied Mathematical Sciences | 2012 | Mahalakshmi, M., Rajaraman, R., Hariharan, G., Kannan, K. |

Dynamic pattern recognition approach for partial discharge signature analysis using hidden Markov models: A critique based on experimental investigations | International Review of Electrical Engineering | 2012 | Venkatesh, S., Gopal, S., Kannan, K. |

Two key dependent permutation for use in symmetric cryptographic system | Mathematical problems in Engineering | 2014 | Arulmani kuppusamy, Swaminathan Pitchai Iyer , Kannan Krithivasan |

A comparison of Haar Wavelet Method and Adomian Decomposition Method for solving one dimenstional reaction-diffusion equations | International Journal of Applied Mathematics and Computation | 2010 | Hariharan, G and Kannan K |

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 | Hariharan,G and Kannan K |

Homotopy Perturbation transform method for solving Klein-Gordon Equations | International Journal of Emerging Trends and Technology in Computer Science | 2012 | Rajaraman, R , Hariharan, G and Kannan k |

Shifted second kind Chebyhev Wavelet Method for a few second order differential equations arising in Engineering | Austrialian Journal of Basic and Applied Sciences | 2013 | Mahalakshmi,M , Hariharan, G and Kannan K |

Haar Wavelets Approach of Travelling Wave Equation - a plausible solution of lightning stroke model | International Journal of Engineering and Technology 5 | 2013 | Hariharan, G, Rajaraman, R and Kannan K |

Analytical Solutions for Cauchy Reaction-Diffusion Equations | Asian Journal of Current Engineering & Maths | 2013 | Rajaraman, R , Hariharan, G and Kannan, K |

Randomized Gravitational Emulation Search Algorithm for symmetric travelling salesman problem | Applied Mathematics and Computation | 2007 | Raja Balachandar, S and Kannan K |

A new heuristic approach for the large scale generalized assignment problem | International Journal of Computation and Mathematical Sciences | 2009 | Raja Balachandar, S and Kannan K |

A Meta-Heuristic Algorithm for vertex covering problem based on gravity | International Journal of Computation and Mathematical Sciences | 2009 | Raja Balachandar, S and Kannan K |

Haar Wavelet Method for solving Cahn-Allen Equation | Applied Mathematical Sciences | 2009 | Hariharan, G and Kannan K |

A novel feature selection technique for number classification problem using PNN-A plausible scheme for boiler flue gas analysis | Sensors and Actuators, B : Chemical | 2009 | Sivakumar, A and Kannan K |

Haar Wavelet Method for solving Fisher's Equation | Applied Mathematics and Computation | 2009 | Hariharan, G , Kannan K and Sharma K R |

Haar Wavelet in estimating depth profile of soil temperature | Applied Mathematics and Computation | 2009 | Hariharan, G, Kannan K and Sharma K R |

A new polynomial time Algorithm for 0-1 multiple knapsack problem based on dominant principles | Applied Mathematics and Computation | 2008 | Rajabalachandar, S and Kannan K |

Max-Min method to solve fuzzy transshipment problem | Applied Mathematical Sciences | 2015 | P. Gayathri, K. Kannan, D. Sarala |

Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering | Applied Mathematical Modelling | 2014 | Hariharan, G., Kannan, K. |

Legendre wavelet method for the singular system of transistor circuits | International Journal of Applied Engineering Research | 2014 | Venkatesh, S.G. , Ayyaswamy, S.K. , Raja Balachandar, S. , Kannan, K. |

result 3 Document Solving fractional Riccati differential equation based on operational matrices | Journal of Computational Methods in Sciences and Engineering | 2014 | Krishnaveni, K., Kannan, K., Balachandar, S.R. |

Development of K- means based SVM regression (KSVMR) technique for boiler flue gas estimation | International Journal on Electrical Engineering and Informatics | 2014 | Ayyagari, R., Sivakumar, A., Kannan, K. |

Influence of gate engineering on the optical characteristics of a double gate FinFET | Optik | 2014 | Ramesh, R., Madheswaran, M., Kannan, K. |

Equivalence of two widely researched problems in hypergraph theory | International Journal of Pure and Applied Mathematics | 2014 | Dharmarajan, R., Kannan, K. |

the Eccentric connectivity index of Generalized Thorn Graphs | National Academy Science Letters | 2015 | Y.B.Venkatakrishnan, S.Balachandran, K.Kannan |

A new genetic algorithm for time dependent combinatorial optimization problem | National Academy Science Letters | 2016 | D. Venkatesan, K. Kannan, S.Raja balachandar |

Hot-carrier reliability on the optical characteristics of gate stack gate all-around(GSGAA)MOSFET considering quantum mechanical effects | Optik | 2016 | Madheswaran, Ramesh.R, K.Kannan |

Fractional polynomial method for solving fractional order Riccati differential equation | International Journal of pure and applied Mathematics | 2016 | K. Krishnaveni, K. Kannan, S. Rajabalachandar |

Adaptive model predictive controller for web transport systems | Acta Polytechnica Hungarica | 2016 | Muthukumar.N, Srinivasan.S, Ramkumar. K, K.Kannan, Balas. V.E |

Tolerance analysis of misalignment in an optical system using shack-Hartmann wavefront sensor:Experimental study | Optical Engineering | 2015 | Kalikivayi, Pretheesh kumar, K. Kannan, A.R. Ganesan |

Numerical modeling on the optical characteristics of triple material gate stack gate all-around(TMGSGAA)MOSFET | Superlattices and Microstructures | 2015 | R. Ramesh, M. Madheswaran, K. Kannan |

Hyper paths and hyper cycles | International Journal of pure and applied mathematics | 2015 | Dharmarajan and K.Kannan |

##### National Journals

Title | Name | Date | Authors |