Page - 35 - in Advanced Chemical Kinetics

[42] MitchellAR,GriffithsDF.TheFiniteDifferenceMethod inPartialDifferentialEquations. JohnWiley&Sons:Chichester-NewYork-Brisbane-Toronto; 1980 [43] ShanthiD,AnanthaswamyV,RajendranL.Analysis ofnonlinear reaction-diffusionpro- cesseswithMichaelis-Mentenkineticsbyanewhomotopyperturbationmethod.Natural Science. 2013;5(9):1034-1046 [44] Saranya J, Rajendran L,Wang L, Fernandez C. A newmathematical modelling using homotopy perturbationmethod to solve nonlinear equations in enzymatic glucose fuel cells.ChemicalPhysicsLetters. 2016;662:317-326 [45] Meena A, Rajendran L. Mathematical modeling of amperometric and potentiometric biosensors and systemof nonlinear equation homotopyperturbation approach. Journal ofElectroanalyticalChemistry. 2010;644:50-59 [46] Angel JoyR,MeenaA,LoghambalS,RajendranL.Atwo-parametermathematicalmodel for immobilized enzymes and homotopy analysis method. Natural Science. 2011;37: 556-565 [47] KirthigaM,ChitraDeviM,MeenaA,RajendranL.Mathematicalmodellingandkinetics ofmicrochannel reactor.AppliedandComputationalMathematics. 2016;56:234-246 [48] SivasankariMK,RajendranL.Analytical expression of the concentration of species and effectiveness factors in porous catalysts using the Adomian decomposition method. KineticsandCatalysis. 2013;54(1):95-105 [49] RenugaDeviM, Sevukaperumal S, Rajendran L.Nonlinear reaction diffusion equation withMichaelis-Menten Kinetics and adomian decompositionmethod. AppliedMathe- matics. 2015;51:21-32 [50] MahalakshmiM,HariharanG,KannanK.Thewaveletmethods to linear andnonlinear reaction-diffusion model arising in mathematical chemistry. Journal of Mathematical Chemistry. 2013;51(9):2361-2385 [51] RajendranL. Biosensor:Modeling and simulationof diffusion-limitedprocess, chemical sensors: simulation and modeling. Ghenadiikorotcenkov ed. Electrochemical sensors. 2013;5 [52] BardAJ, Faulkner LR. ElectrochemicalMethods: Fundamentals andApplications, 2nd ed., JohnWiley&Sons, INC:NewYork;2001;pp.864 [53] BritzD.Digital Simulation inElectrochemistry.Springer-Verlag:BerlinHeidelberg; 1988 [54] Compton RG, Banks CE. Understanding Voltammetry. 2nd ed. Imperial College Press: LondonWC2H9HE;2010;pp.444 [55] Bieniasz LK. Towards computational electrochemistry: AKineticist’s perspective.Mod- ernAspectsofElectrochemistry-Springer. 2002;35:135-195 [56] Baronas R et al. Mathematical Modelling of Biosensors. Springer Series on Chemical SensorsandBiosensors -SpringerNetherlands; 2009 Mathematical Modeling and Simulation of Nonlinear Process in Enzyme Kinetics http://dx.doi.org/10.5772/intechopen.70914 35