title: Wavelet Based Analytical Expressions to Steady State Biofilm Model Arising in Biochemical Engineering.
abstract: In this paper, we have developed an efficient wavelet based approximation method to biofilm model under steady state arising in enzyme kinetics. Chebyshev wavelet based approximation method is successfully introduced in solving nonlinear steady state biofilm reaction model. To the best of our knowledge, until now there is no rigorous wavelet based solution has been addressed for the proposed model. Analytical solutions for substrate concentration have been derived for all values of the parameters δ and SL. The power of the manageable method is confirmed. Some numerical examples are presented to demonstrate the validity and applicability of the wavelet method. Moreover the use of Chebyshev wavelets is found to be simple, efficient, flexible, convenient, small computation costs and computationally attractive.
authors.affiliation: Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, Tamilnadu, 613 401, India.
authors.forename: S
authors.initials: S
authors.lastname: Padma
authors.affiliation: Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, Tamilnadu, 613 401, India. hariharan@maths.sastra.edu.
authors.forename: G
authors.initials: G
authors.lastname: Hariharan
mesh_terms: D000465:Algorithms; D001669:Biochemical Phenomena; D057005:Bioengineering / Q000379:methods; D018441:Biofilms; D003198:Computer Simulation; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics
keywords: Boundary value problems; Mathematical modeling; Operational matrix; Shifted second kind Chebyshev Method (S2KCWM)