Derivations, calculations and problems related to heat equation
17-5 Heat equation solved using Green's function
The classic heat equation is solved on the infinite domain using Laplace and Fourier transforms. An initial point source is assumed and a Green’s function approach is used.
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17-24 Heat Equation Problem -Dirichlet BCs - 11-07-16
In the first of series of related notebooks, I solve a heat equation problem involving Dirichlet boundary conditions. The problems and some of the treatment follows Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-25 Heat Equation Problem -Neumann BCs - 11-09-16
I solve a heat equation problem involving von Neumann boundary conditions. For background and color see Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-26 Heat Equation Problem -Mixed BCs - 11-09-16
I solve a heat equation problem involving mixed boundary conditions. For background and color see Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-27 Dubin 3.2.17 Melting Fat 11-15-16
I solve a heat equation problem from Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-28 Dubin 3.2.18 Grilling a Steak 11-15-16
I solve a heat equation problem from Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-29 Dubin 4.2.2 Broiling Steak 11-13-16
I solve a heat equation problem from Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-30 Dubin 4.2.2 Temperature Oscillations 11-15-16
I solve a heat equation problem from Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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17-31 Dubin 4.2.3 Microwaving Steak 11-14-16
I solve a heat equation problem from Numerical and Analytical Methods for Scientists and Engineers, Using Mathematica, Daniel Dubin.
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