The two dimensional heat equation - Trinity University

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The 2D heat equation Homogeneous Dirichlet boundary conditions Steady state solutionsWe have a = b = 1 and we require the sine series of f 2 (x). Thegraph of f 2 (x) is:According to exercise 2.4.17 (with p = 1, a = 2/3 and h = 50):f 2 (x) = 450π 2 ∞ ∑n=1sin 2nπ3n 2sinnπx.DailedaThe 2D heat equation
The 2D heat equation Homogeneous Dirichlet boundary conditions Steady state solutionsThus,B n =( )1 450sin 2nπ3sinhnπ π 2 n 2= 450π 2sin 2nπ3n 2 sinhnπ ,andu(x,y) = 450 ∑∞ sin 2nπ3π 2 n 2 sinnπx sinhnπy.sinhnπn=1DailedaThe 2D heat equation
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The two dimensional heat equation - Trinity University

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