rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Wavelet Solutions for Reaction-Diffusion Problems in Science and Engineering
  name:
    name part: Hariharan, G.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIX, 177 p. 27 illus., 25 illus. in color. online resource.
  abstract: 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 wavelet methods for both classical and fractional-order differential equations; provides comprehensive information on the conceptual basis of wavelet theory and its applications; and strikes a sensible balance between mathematical rigour and the practical applications of wavelet theory. The book is divided into 11 chapters, the first three of which are devoted to the mathematical foundations and basics of wavelet theory. The remaining chapters provide 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 of mathematics and engineering.
  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. .
  note: by G. Hariharan.
  subject:
    topic: Differential equations
  subject:
    topic: Fourier analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Fourier Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA372
  classification: 515.352
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Forum for Interdisciplinary Mathematics
  identifier: 9789813299603
  identifier: https://doi.org/10.1007/978-981-32-9960-3
  record info:
    record creation date: 190917
    record change date: 20191026142734.0
    record identifier: 978-981-32-9960-3