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.
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Acknowledgements
The authors are very grateful to the referees for their valuable comments. This work was supported by the DST-SERB Project, Government of India (Project No. SB/FTP/MS-012/2013). Our hearty thanks are due to Prof. R. Sethuraman, Vice-Chancellor, SASTRA University, Dr. S. Vaidhyasubramaniam, Dean/Planning and development and Dr. S. Swaminathan, Dean/Sponsored research for their kind encouragement and for providing good research environment.
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Mahalakshmi, M., Hariharan, G. A New Spectral Approach on Steady-State Concentration of Species in Porous Catalysts Using Wavelets. J Membrane Biol 250, 163–169 (2017). https://doi.org/10.1007/s00232-016-9943-9
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DOI: https://doi.org/10.1007/s00232-016-9943-9