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Wavelet-Based Analytical Expressions to Steady-State Biofilm Model Arising in Biochemical Engineering

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Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering

Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM))

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Abstract

In this chapter, 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. Analytical solutions for substrate concentration have been derived for all values of the parameters \(\delta\) 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.

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Authors and Affiliations

  1. School of Arts Science and Humanities (SASH), SASTRA Deemed to be University, Thanjavur, Tamil Nadu, India

    G. Hariharan

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  1. G. Hariharan
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Hariharan, G. (2019). Wavelet-Based Analytical Expressions to Steady-State Biofilm Model Arising in Biochemical Engineering. In: Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-32-9960-3_11

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