No Access
Heat Equation
https://doi.org/10.1142/9789814407571_0002Cited by:0 (Source: Crossref)
Abstract:
The following sections are included:
Derivation of the Heat Equation
One-dimensional Case
Divergence Theorem
Multi-dimensional Case
Initial Boundary Value Problems
Homogeneous Boundary Conditions
Temperature is Fixed at Zero at Both Ends
Brief Discussion of the Fourier Series
Both Ends are Insulated
Temperature of One End is Zero and the Other End is Insulated
Non-homogeneous Boundary Conditions
Steady State Solutions
Non-homogeneous Boundary Conditions
Robin Boundary Conditions
Infinite Domain Problems
Initial Value Problems
Initial Value Problems via Fourier Transform
Semi-infinite Domains
Maximum Principle, Energy Method, and Uniqueness of Solutions
Maximum Principle
Energy Method
