Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, u = a²uxx- (a) u(0, t) = u(1,t) = 0, u(x,0)=z,0

4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, u = a²uxx- (a) u(0, t) = u(1,t) = 0, u(x,0)=z,0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
See similar textbooks
icon
Related questions
Question
4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, u = a²uxx- (a) u(0, t) = u(1,t) = 0, u(x,0) = x, 0<x< 1 [1 if 0<x< 1 (b) u(0, t) = u(2, t) = 0, u(x,0) = 0 if 1 < x < 2 (uz (0, t)= (10e-0.1t) if t≥ 0 (c) u (1,t) = 0 if t ≥ 0 u(x,0) = 0 if 0 ≤ x ≤ 1 (u₂(0, t) = -1 ift 20 (d)u(1,t) + uz (1,t) = 0 ift> 0 u(x,0) = 0 if 0 ≤ x ≤1
Transcribed Image Text:4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, u = a²uxx- (a) u(0, t) = u(1,t) = 0, u(x,0) = x, 0<x< 1 [1 if 0<x< 1 (b) u(0, t) = u(2, t) = 0, u(x,0) = 0 if 1 < x < 2 (uz (0, t)= (10e-0.1t) if t≥ 0 (c) u (1,t) = 0 if t ≥ 0 u(x,0) = 0 if 0 ≤ x ≤ 1 (u₂(0, t) = -1 ift 20 (d)u(1,t) + uz (1,t) = 0 ift> 0 u(x,0) = 0 if 0 ≤ x ≤1
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer