Objective: Set up and solve a boundary value problem using the shooting method by hand or using Matlab. A heated rod with a uniform heat source may be modeled with Poisson equation. The boundary conditions are 7(x= 0) = 40 and 7(x= 10) = 200. dr -f(x) dx Use the guess values shown below. zg= linspace(-200, 100, 1000); xin = 0:0.01:10; a) Solve using the shooting method with f(x) = -25. Name your final solution "TA". b) Solve using the shooting method with f(x) = 0.12x³ - 2.4x² + 12x. Name your final solution "TB". Plot both solutions to Poisson's equation so you can compare them and check your boundary conditions.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Objective: Set up and solve a boundary value problem using the shooting method by hand or using Matlab.
A heated rod with a uniform heat source may be modeled with Poisson equation. The boundary conditions are 7(x= 0) = 40 and 7(x= 10) = 200.
dr
-f(x)
dx
Use the guess values shown below.
zg= linspace(-200, 100, 1000);
xin = 0:0.01:10;
a) Solve using the shooting method with f(x) = -25. Name your final solution "TA".
b) Solve using the shooting method with f(x) = 0.12x³ - 2.4x² + 12x. Name your final solution "TB".
Plot both solutions to Poisson's equation so you can compare them and check your boundary conditions.
Transcribed Image Text:Objective: Set up and solve a boundary value problem using the shooting method by hand or using Matlab. A heated rod with a uniform heat source may be modeled with Poisson equation. The boundary conditions are 7(x= 0) = 40 and 7(x= 10) = 200. dr -f(x) dx Use the guess values shown below. zg= linspace(-200, 100, 1000); xin = 0:0.01:10; a) Solve using the shooting method with f(x) = -25. Name your final solution "TA". b) Solve using the shooting method with f(x) = 0.12x³ - 2.4x² + 12x. Name your final solution "TB". Plot both solutions to Poisson's equation so you can compare them and check your boundary conditions.
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