numerical analysis The partial differential equation for distribution of temperature in an aliminium rod is given byk-Here, k=0.835. For t=0 the temperature is zero, boundary conditions are given as T(0) = 100°Catand T(10) = 50°C. Find the temperature distribution in interior nodes for two time levels by finite differencemethod by taking Ax = 2 cm and At = 0.1.Finite difference equation for heat equation is:Τj+1 λ Τi+1.j + (1-2 λ) Τij +λ T-1.jkatwhere 1 =Ax2

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"

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"

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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