The partial differential equation for distribution of temperature in an aliminium rod is given by Here, k=0.835. For t=0 the temperature is zero, boundary conditions are given as T(0) = 100°C and T(10) = 50°C. Find the temperature distribution in interior nodes for two time levels by finite difference method by taking Ax = 2 cm and At = 0.1. Finite difference equation for heat equation is: Tij+1 = A Ti+1,j + (1 – 22)T;j + 2 T¡-1,j where 2 = kat Ax2"

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Q: 2 ди k 2 əx

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A: Solution:-

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Q: Use the separation of variables to find, given partial differential equation

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A: A certain drug is being administered intravenously to a hospital patient. Fluid containg 3 mgcm3 of…

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A: To Determine -

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Q: For the given solution defined as y=C1cos3x+C2sin3x, solve for the corresponding Differential…

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Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

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Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

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Q: ху' — 2у + 2 y — хе*

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