Partial Differential Equations Solution Manual
© Leon van Dommelen
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2.1 Introduction
2
. Green’s Functions
Subsections
2
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1
Introduction
2
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1
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1
The one-dimensional Poisson equation
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Solution gf1d-a
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1
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2
Solution gf1d-b
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1
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2
More on delta and Green’s functions
2
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2
The Poisson equation in infinite space
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2
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1
Overview
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2
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2
Loose derivation
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2
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1
Solution pninfl-a
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2
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3
Rigorous derivation
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3
The Poisson or Laplace equation in a finite region
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3
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1
Overview
2
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3
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2
Intro to the solution procedure
2
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3
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3
Derivation of the integral solution
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3
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3
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1
Solution pnfd-a
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4
Boundary integral (panel) methods
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3
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5
Poisson’s integral formulae
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6
Derivation
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3
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Solution pnifd-a
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2
Solution pnifd-b
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7
The integral formula for the Neumann problem
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3
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8
Smoothness of the solution
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2.1 Introduction
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