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Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems

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Cover of 'Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems'

Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 1 Solvable Differential Equations
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    Chapter 2 Second-Order Differential Equations
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    Chapter 3 Preliminaries to Series Solutions
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    Chapter 4 Solution at an Ordinary Point
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    Chapter 5 Solution at a Singular Point
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    Chapter 6 Solution at a Singular Point (Cont’d.)
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    Chapter 7 Legendre Polynomials and Functions
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    Chapter 8 Chebyshev, Hermite and Laguerre Polynomials
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    Chapter 9 Bessel Functions
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    Chapter 10 Hypergeometric Functions
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    Chapter 11 Piecewise Continuous and Periodic Functions
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    Chapter 12 Orthogonal Functions and Polynomials
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    Chapter 13 Orthogonal Functions and Polynomials (Cont’d.)
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    Chapter 14 Boundary Value Problems
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    Chapter 15 Boundary Value Problems (Cont’d.)
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    Chapter 16 Green’s Functions
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    Chapter 17 Regular Perturbations
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    Chapter 18 Singular Perturbations
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    Chapter 19 Sturm–Liouville Problems
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    Chapter 20 Eigenfunction Expansions
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    Chapter 21 Eigenfunction Expansions (Cont’d.)
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    Chapter 22 Convergence of the Fourier Series
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    Chapter 23 Convergence of the Fourier Series (Cont’d.)
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    Chapter 24 Fourier Series Solutions of Ordinary Differential Equations
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    Chapter 25 Partial Differential Equations
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    Chapter 26 First-Order Partial Differential Equations
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    Chapter 27 Solvable Partial Differential Equations
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    Chapter 28 The Canonical Forms
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    Chapter 29 The Method of Separation of Variables
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    Chapter 30 The One-Dimensional Heat Equation
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    Chapter 31 The One-Dimensional Heat Equation (Cont’d.)
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    Chapter 32 The One-Dimensional Wave Equation
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    Chapter 33 The One-Dimensional Wave Equation (Cont’d.)
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    Chapter 34 Laplace Equation in Two Dimensions
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    Chapter 35 Laplace Equation in Polar Coordinates
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    Chapter 36 Two-Dimensional Heat Equation
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    Chapter 37 Two-Dimensional Wave Equation
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    Chapter 38 Laplace Equation in Three Dimensions
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    Chapter 39 Laplace Equation in Three Dimensions (Cont’d.)
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    Chapter 40 Nonhomogeneous Equations
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    Chapter 41 Fourier Integral and Transforms
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    Chapter 42 Fourier Integral and Transforms (Cont’d.)
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    Chapter 43 Fourier Transform Method for Partial DEs
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    Chapter 44 Fourier Transform Method for Partial DEs (Cont’d.)
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    Chapter 45 Laplace Transforms
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    Chapter 46 Laplace Transforms (Cont’d.)
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    Chapter 47 Laplace Transform Method for Ordinary DEs
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    Chapter 48 Laplace Transform Method for Partial DEs
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    Chapter 49 Well-Posed Problems
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    Chapter 50 Verification of Solutions
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Citations

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Title
Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems
Published by
Springer New York, January 2009
DOI 10.1007/978-0-387-79146-3
ISBNs
978-0-387-79146-3, 978-0-387-79145-6
Authors

Agarwal, Ravi P, O’Regan, Donal, Agarwal, Ravi P.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 42 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 2%
United States 1 2%
Netherlands 1 2%
Denmark 1 2%
Unknown 38 90%

Demographic breakdown

Readers by professional status Count As %
Student > Master 10 24%
Student > Ph. D. Student 9 21%
Professor > Associate Professor 5 12%
Student > Doctoral Student 3 7%
Student > Postgraduate 3 7%
Other 4 10%
Unknown 8 19%
Readers by discipline Count As %
Physics and Astronomy 10 24%
Mathematics 7 17%
Engineering 6 14%
Computer Science 2 5%
Energy 2 5%
Other 6 14%
Unknown 9 21%