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KKKQ 3013 PENGIRAAN BERANGKA

KKKQ 3013 PENGIRAAN BERANGKA. Assignment #1 – Systems of Linear Equations 18 July 2007 8.00 pm – 10.00 pm. Assignment #1 (adapted courtesy of ref. [1]).

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KKKQ 3013 PENGIRAAN BERANGKA

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  1. KKKQ 3013PENGIRAAN BERANGKA Assignment #1 – Systems of Linear Equations 18 July 2007 8.00 pm – 10.00 pm

  2. Assignment #1 (adapted courtesy of ref. [1]) A plate 4m x 4m is heated at its edges, such that the temperatures at its edges are as shown in figure 1. The steady-state distribution of temperature on the heated plate could be modeled by the Laplace equation : …………(1) If the plate is represented by a series of equidistant nodes (fig. 1), centered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures, Tij of the interior nodes on the plate (fig. 1). Use the following centered finite-divided difference formulas: Dy Dx [1] Chapra, S.C & Canale, R.P, Numerical Methods for Engineers, McGraw-Hill 5th ed. (2006) FIGURE 1 Week 2

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