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.
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
Section: Chapter Questions
Problem 1PE
Related questions
Question
8
Provide MATLAB code to solve, please.
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 1 steps
Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education