Table Of Content

Communications in Computer and Information Science 283 P. Balasubramaniam R. Uthayakumar (Eds.) Mathematical Modelling and Scientific Computation International Conference, ICMMSC 2012 Gandhigram, Tamil Nadu, India, March 16-18, 2012 Proceedings 1 3 VolumeEditors P.Balasubramaniam DepartmentofMathematics GandhigramRuralInstitute-DeemedUniversity Gandhigram624302,TamilNadu,India E-mail:[email protected] R.Uthayakumar DepartmentofMathematics GandhigramRuralInstitute-DeemedUniversity Gandhigram624302,TamilNadu,India E-mail:[email protected] ISSN1865-0929 e-ISSN1865-0937 ISBN978-3-642-28925-5 e-ISBN978-3-642-28926-2 DOI10.1007/978-3-642-28926-2 SpringerHeidelbergDordrechtLondonNewYork LibraryofCongressControlNumber:2012933232 CRSubjectClassification(1998):G.1,G.2,G.3 ©Springer-VerlagBerlinHeidelberg2012 Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialis concerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting, reproductiononmicrofilmsorinanyotherway,andstorageindatabanks.Duplicationofthispublication orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965, initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliable toprosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply, evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelaws andregulationsandthereforefreeforgeneraluse. Typesetting:Camera-readybyauthor,dataconversionbyScientificPublishingServices,Chennai,India Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Preface Welcome to the Proceedings of the International Conference on Mathematical Modelling and Scientific Computation 2012(ICMMSC 2012).It was the second international conference being organized by the Department of Mathematics, Gandhigram Rural Institute - Deemed University (GRI - DU), Gandhigram, Tamil Nadu, India. Mathematical modelling and scientific computation are the promising, hot areasofcurrentresearchanddevelopment,whichcanprovide importantadvan- tages to users. Almost all mathematicians, industrialists, scientists, engineers and researchers in science disciplines are applying the techniques of mathematical modelling and computing to increasing effect. Scientific computation and information are the innovative thrust areas of research to study the stability analysis and control problems related to human needs. Tofulfill the needs ofmathematicians,scientists,researchers,ICMMSC 2012 wasorganizedbytheDepartmentofMathematics,GRI-DUduringMarch16–18, 2012.Thisseriescontainscollectionofpapersthathavebeenpeerreviewedbythe researchersandpresentedinICMMSC2012. ICMMSC 2012 intended to provide a common forum for researchers, scientists, engineers and practitioners throughout the world to share their ideas, latest research findings, developments and applications including their links to mathematics, computational sciences and information sciences. In total, 332 papers were submitted to ICMMSC 2012, which were reviewed by the scientific peer-review committee consisting of 66 reviewers from various parts of the world. Based on the reviewers’ comments, we accepted only 62 papers for publication in this volume. In these proceedings, the accepted papers have been classified into two cate- gories,namely,“MathematicalModelling”and“ScientificComputation.”Papers related to analysis, algebra, differential equations, dynamical systems, control theory, optimization techniques, fuzzy sets and logic, graph theory, coding theory are listed in Part 1. Finally, papers related to topics such as computational mathematics, image processing, pattern recognition, algorithms and cryptogra- phy are listed in Part 2. As the Conference Chairs of ICMMSC 2012, we are very much thankful to all the national funding agencies for their grant support for the successful completion of this international conference. ICMMSC 2012 was supported partially by the following funding agencies: 1. UniversityGrantsCommission(UGC)-SpecialAssistanceProgramme(SAP) - Departmental Research Support II (DRS II), Government of India, New Delhi 2. Council of Scientific and Industrial Research (CSIR), New Delhi, India VI Preface 3. Department of Science and Technology (DST), Government of India, New Delhi, India 4. National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE), Mumbai, India WewouldliketoexpressoursincerethankstoS.M.Ramasamy,Vice-Chancellor, GRI-DU,Gandhigram,TamilNadu,India,forhismotivationandsupport.We alsoextendourprofoundthankstoalltheauthoritiesofGRI-DUaswellasthe facultymembersandresearchscholarsoftheDepartmentofMathematics,GRI- DU,Gandhigram. WeareverymuchgratefultotheChairsandMembersoftheTechnicalCom- mittee, Publication Committee, Financial Committee and Advisory Committee whoworkedasateambyinvestingtheirinvaluabletime andhardworktomake this event a success. We extend our hearty thanks to the keynote speakers who kindly accepted our invitation. Especially, we would like to thank the following professors: N. Rudraiah (Emeritus Professor,Bangalore University, India) P. Kandaswamy (Visiting Professor,GRI - DU, India) S. Ponnusamy (Indian Institute of Technology, Madras) Er. Meng Joo (Nanyang Technological University, Singapore) K. Vajravelu (University of Central Florida, USA) Kurunathan Ratnavelu,M.O. Wan Ainun,andN. Kumaresan (Universityof Malaya, Malaysia) Santo Banerjee (Politecnico di Torino, Turin, Italy) A totalof 66subjectexperts fromaroundthe worldcontributedto the peer- review process. We express our sincere gratitude to the reviewers for spending their valuable time to review the papers and sorting out the papers for presen- tation at ICMMSC 2012. We thank MicrosoftResearchCMT for providing us with a wonderful“Con- ference Management Toolkit” for managing the papers. We also express our sincere thanks to Alfred Hofmann and his team at Springer for accepting our proposal to publish the papers in CCIS. March 2012 P. Balasubramaniam R. Uthayakumar Organization ICMMSC 2012 was organizedby the Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram, Tamil Nadu, India. Organizing Committee Patron S.M. Ramasamy (Vice Chancellor, GRI - DU) Conference Chairs P. Balasubramaniam R. Uthayakumar Technical Committee Chairs S. Parthasarathy G. Nagamani Publication Committee Chair R. Rajkumar Financial Committee Chair P. Muthukumar Organizing Team Members G. Arockia Prabakar,R. Chandran, D. Easwaramoorthy,L. Jarina Banu, S. Jeeva Sathya Theesar, M. Kalpana, R. Krishnasamy,S. Lakshmanan, P. Muthukumar, M. Palanivel, M. Prakash, S. Priyan, C. Rajiv Ganthi, V.M. Revathi, J. Sahabtheen, R. Sathy, T. Senthil Kumar, V. Vembarasan, M. Vijayashree Advisory Committee R.P. Agarwal, USA J.Y. Park, South Korea K. Balachandran,India S. Ponnusamy, India R.K. George, India S. Raviraja, Malaysia P. Kandaswamy,India N. Rudraiah, India J.H. Kim, South Korea S. Banerjee, Italy N. Kumaresan, Malaysia K. Somasundaram, India K. Ratnavelu, Malaysia N. Sugavanam, India X. Mao, UK K. Vajravelu, USA E. Meng Joo, Singapore P. Veeramani, India A.K. Nandhakumaran, India M.O. Wan Ainun, Malaysia J.H. Park,South Korea F. Zirilli, Italy VIII Organization Referees C. Alaca, Turkey J.Y. Park, South Korea N.M.G. Al-Saidi, Iraq J. PaulrajJoseph, India A. Biswas, India V.N. Phat, Vietnam S. Arik, Turkey R. Rajkumar, India T. Aravalluvan, India R. Rakkiyappan, India A. Imre, Hungary R. Roopkumar, India B. Prasad, India A. Roy, India K. Balachandran,India R. Sakthivel, South Korea H. Bao, China S. Banerjee, Italy G.L. Chia, Malaysia S. Saravanan, India M. Chris Monica, India S. Mukherjee, India C. Claudio, Brazil P. Shanmugavadivu, India W. Feng, China S. Sankar Sana, India G. Ganesan, India S. Sivagurunathan, India K.V. Geetha, India K. Somasundaram, India G.V.D. Gowda, India Q. Song, China H. Yin, Urbana S. Sivakumar, India G. Jayalalitha,India M. Sumathi, India T. Kalaiselvi, India S. Prasath, USA S. Karthikeyan,India K. Shanti Swarup, India E. Karthikeyan,India S.P. Tiwari, India V. Kreinovich, USA I. Tsoulos, Greece N. Kumaresan, Malaysia R.K. Upadhyay, India O.M. Kwon, South Korea M. Valliathal, India N.F. Law, Hong Kong V. Veeramani, Oman G. Mahadevan, India C. Vidhya, India S. Marshal Anthoni, India S. Vimala, India M. Nawi Nazri, Malaysia D. Vinayagam, India S. Muralisankar,India A.V.A. Kumar, India P. Muthukumar, India W. Wang, China G. Nagamani, India X. Li, China V. Novak, Czech Republic X. Zhang, China B.B. Pal, India J.H. Park,South Korea Table of Contents Mathematical Modelling Degree of Approximation of Function f ∈ Hp(w) Class in Generalized Hölder Metric by Matrix Means.................................... 1 Uaday Singh and Smita Sonker Angle Change of Plane Curve ..................................... 11 Xiao Han, Baozeng Chu, and Liangping Qi On Faintly SP-θ (Semi-Pre-θ)-Continuous Functions.................. 22 Alaa. M.F. AL. Jumaili and Xiao-Song Yang On e-Closed Spaces and θ-e-Continuous Functions.................... 32 Alaa. M.F. AL. Jumaili and Xiao-Song Yang On θ-e-Irresolute Functions ....................................... 47 Alaa.M.F.AL. Jumaili and Xiao-Song Yang On the Strictness of a Bound for the Diameter of Cayley Graphs Generated by Transposition Trees.................................. 54 Ashwin Ganesan Power Graphs of Finite Groups of Even Order....................... 62 Sriparna Chattopadhyay and Pratima Panigrahi Global Vertex-Edge Domination Sets in Total Graph and Product Graph of Path Pn Cycle Cn ....................................... 68 S. Chitra and R. Sattanathan Incomparability Graphs of Lattices................................. 78 Meenakshi Wasadikar and Pradnya Survase A New Characterizationof PairedDomination Number of a Graph..... 86 G. Mahadevan, A. Nagarajan, A. Selvam, and A. Rajeswari Coding the Vertices of a Graph with Rosenbloom-Tsfasman Metric..... 97 R. Rajkumar Application of Fuzzy Programming Method for Solving Nonlinear Fractional Programming Problems with Fuzzy Parameters ............ 104 Animesh Biswas and Koushik Bose Solving Bottleneck Bi-criteria Transportation Problems ............... 114 D. Anuradha and P. Pandian X Table of Contents A Fuzzy Goal Programming Approach for Fuzzy Multiobjective Stochastic Programming through Expectation Model ................. 124 Animesh Biswas and Nilkanta Modak Economic Order Quantity for Fuzzy Inventory Model without or with Shortage........................................................ 136 P. Rajendran and P. Pandian Improvement of Quality with the Reduction of Order Processing Cost by Just-In-Time Purchasing ....................................... 148 R. Uthayakumar and M. Rameswari Using Genetic Algorithm to Goal Programming Model of Solving Economic-Environmental Electric Power Generation Problem with Interval-Valued Target Goals ...................................... 156 Bijay Baran Pal, Papun Biswas, and Anirban Mukhopadhyay Using Fuzzy Goal Programming for Long-Term Water Resource Allocation Planning in Agricultural System: A Case Study ............ 170 Bijay Baran Pal, Subhendu Bikash Goswami, Shyamal Sen, and Durga Banerjee Dynamics of Julia Sets for Complex Exponential Functions............ 185 Bhagwati Prasad and Kuldip Katiyar Dynamics of Density-Dependent Closure Term in a Simple Plankton Model .......................................................... 193 A. Priyadarshi, S. Gakkhar, and Sandip Banerjee Crisis-Limited Chaotic Dynamics in an Eco-epidemiological System of the Salton Sea................................................... 201 Sharada Nandan Raw, Ranjit Kumar Upadhyay, and Nilesh Kumar Thakur Delay-Dependent Stability Criteria for Uncertain Discrete-Time Lur’e Systems with Sector-Bounded Nonlinearity.......................... 210 Ramakrishnan Krishnan and Goshaidas Ray Temporally Dependent Solute Dispersion in One-Dimensional Porous Media .......................................................... 220 Dilip Kumar Jaiswal Instabilities and Patterns in Zooplankton-Phytoplankton Dynamics: Effect of Spatial Heterogeneity..................................... 229 Nilesh Kumar Thakur, Ranjit Kumar Upadhyay, and Sharada Nandan Raw A Method for Estimating the Lyapunov Exponents of Chaotic Time Series Corrupted by Random Noise Using Extended Kalman Filter ..... 237 Kamalanand Krishnamurthy