From e461df7573c2b7b7e26c965d8cf2d8e175d67378 Mon Sep 17 00:00:00 2001 From: Nguyễn Gia Phong Date: Mon, 16 Dec 2019 21:31:18 +0700 Subject: [usth/MATH2.2] Numerical Methods The future starts now. --- usth/MATH2.2/project/heatrans.m | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 usth/MATH2.2/project/heatrans.m (limited to 'usth/MATH2.2/project/heatrans.m') diff --git a/usth/MATH2.2/project/heatrans.m b/usth/MATH2.2/project/heatrans.m new file mode 100644 index 0000000..d5d2e04 --- /dev/null +++ b/usth/MATH2.2/project/heatrans.m @@ -0,0 +1,15 @@ +function T = heatrans (cp, lambda, rho, Tg, Td, T0, L, dx, dt, N) + alpha = lambda / rho / cp; + beta = alpha * dt / dx^2; + M = round (L / dx); + side = repelem (beta, M); + A = diag (side, -1) + diag (repelem (1 - 2*beta, M + 1)) + diag (side, 1); + A(1, :) = A(end, :) = 0; + A(1, 1) = A(end, end) = 1; + + T = repelem (T0, M + 1); + [T(1) T(end)] = deal (Tg, Td); + for k = 2 : N + T(:, k) = A * T(:, k - 1); + end +end -- cgit 1.4.1