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The Resource Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering, by G. Hariharan, (electronic resource)

Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering, by G. Hariharan, (electronic resource)

Creator
Summary
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.--
Language
eng
Work
Publication
Edition
1st ed. 2019.
Extent
1 online resource (XIX, 177 pages)
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.
Isbn
9789813299603
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-981-32-9960-3
Instance
Label
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering
Title
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering
Statement of responsibility
by G. Hariharan
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Hariharan, G
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Forum for Interdisciplinary Mathematics,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Differential Equations
  • Fourier analysis
  • Differential equations, partial
Label
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering, by G. Hariharan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-981-32-9960-3
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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.
Control code
978-981-32-9960-3
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XIX, 177 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789813299603
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
27 illustrations, 25 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1120690223
Label
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering, by G. Hariharan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-981-32-9960-3
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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.
Control code
978-981-32-9960-3
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XIX, 177 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789813299603
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
27 illustrations, 25 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1120690223

Subject

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