The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...
Proceedings of the American Mathematical Society, Vol. 119, No. 2 (Oct., 1993), pp. 585-594 (10 pages) We study the initial Dirichlet problem and the initial Neumann problem for the heat equation in ...
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Understanding Conduction and the Heat Equation
Continuing the heat transfer series, in this video we take a look at conduction and the heat equation. Fourier's law is used to calculate the rate at which heat is transferred through an object due to ...
Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.
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