Titlebook: Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering; G. Hariharan Book 2019 The Editor(s) (if applicable) and The

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Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering

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Book 2019provide wavelet-based numerical methods for linear, nonlinear, and fractional reaction–diffusion problems. Given its scope and format, the book is ideally suited as a text for undergraduate and graduate students ofmathematics and engineering..

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,Wavelet Analysis—An Overview,Wavelet analysis is a new branch of mathematics widely applied in signal analysis, image processing, numerical analysis, etc. The name wavelets means small waves (the sinusoids used in Fourier analysis are ‘big waves’), and in short, a wavelet is an oscillation that decays quickly.

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,Shifted Chebyshev Wavelets and Shifted Legendre Wavelets—Preliminaries,Wavelet analysis, as a relatively new and emerging area in applied mathematical research, has received considerable attention in dealing with partial differential equations and fractional partial differential equations (FPDEs).

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,Wavelet Method to Film–Pore Diffusion Model for Methylene Blue Adsorption onto Plant Leaf Powders,In this chapter, we have developed an accurate and efficient Haar wavelet method (HWM) to solve film–pore diffusion model. Film–pore diffusion model is widely used to determine study the kinetics of adsorption systems. To the best of our knowledge, until now rigorous wavelet solution has been not reported for solving film–pore diffusion model.