Wavelet Solutions for Reaction-Diffusion Problems in Science and Engineering

• Main Author: Hariharan, G. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Forum for Interdisciplinary Mathematics,
• Subjects: Differential equations.; Fourier analysis.; Partial differential equations.; Ordinary Differential Equations.; Fourier Analysis.; Partial Differential Equations.

The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction-diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena. It explores the analytical and numerical approximate solutions obtained by...

Table of Contents:

• 1. Reaction-Diffusion Problems
• 2. Wavelet Analysis - An Overview
• 3. Shifted Chebyshev Wavelets and Shifted Legendre Wavelets - Preliminaries
• 4. Wavelet Method to Film-Pore Diffusion Model for Methylene Blue Adsorption onto Plant Leaf Powders
• 5. An Efficient Wavelet-based Spectral Method to Singular Boundary Value Problems
• 6. Analytical Expressions of Amperometric Enzyme Kinetics Pertaining to the Substrate Concentration using Wavelets
• 7 Haar Wavelet Method for Solving Some Nonlinear Parabolic Equations
• 8. An Efficient Wavelet-based Approximation Method to Gene Propagation Model Arising in Population Biology
• 9. Two Reliable Wavelet Methods for Fitzhugh-Nagumo (FN) and Fractional FN Equations
• 10. A New Coupled Wavelet-based Method Applied to the Nonlinear Reaction-Diffusion Equation Arising in Mathematical Chemistry
• 11. Wavelet based Analytical Expressions to Steady State Biofilm Model Arising in Biochemical Engineering. .