title: A New Spectral Approach on Steady-State Concentration of Species in Porous Catalysts Using Wavelets.
abstract: In this paper, a mathematical model of steady-state reaction-diffusion (RD) model for estimating the concentration of species is discussed. We have applied a new wavelet-based operational matrix of derivative method to obtain the approximate solutions for nonlinear RDEs. The proposed method is a powerful and easy-to-use analytical tool for linear and nonlinear problems. Some illustrative examples are given to validate our results with exact solutions. Satisfactory agreement with the exact solution is noticed. Moreover, the use of Legendre wavelets is found to be simple, accurate, efficient and requires small computation costs.
authors.affiliation: Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, 613401, India.
authors.forename: M
authors.initials: M
authors.lastname: Mahalakshmi
authors.affiliation: Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, 613401, India. hariharan@maths.sastra.edu.
authors.forename: G
authors.initials: G
authors.lastname: Hariharan
mesh_terms: D000465:Algorithms; D002384:Catalysis; D003198:Computer Simulation; D008962:Models, Theoretical; D016062:Porosity
keywords: Legendre wavelets; Operational matrix method; Reaction–diffusion equation