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4 Fundamental solution of the Diffusion equation. A reaction-diffusion equation comprises a reaction term and a diffusion term, i. 2 Numerical solution of 1-D heat equation using the finite difference method 15. 3 Explicit Forward Euler method. 4 Stability criteria. Exact Solutions Linear Partial Differential Equations. Cauchy problem for the nonhomogeneous heat equation. An initial condition is.
Consider the boundary value problem for the one-dimensional heat equation. The solution is determined by the separation of variables the Fourier method. Analytic Solution Techniques: Diffusion Equation. Diffusion Equation: Simplifying Assumption.
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