PROBLEM 21 – 0533: Write a BASIC program to solve Laplace's equation (a²V/Əx?) + (a²V/əy²) = 0. Consider a rectangular 8 by 8 grid with boundary conditions such that 3 sides are assumed to be at a potential of 100. The remaining side is at zero potential as shown. Solution: We use the replacement of partial derivatives by central differences

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
PROBLEM 21 - 0533:
Write a BASIC program to solve
Laplace's equation
(a²V/Əx?) + (a²V/ay²) = 0.
Consider a rectangular 8 by 8 grid
%3D
with boundary conditions
such that 3 sides are assumed to
be at a potential of 100.
The remaining side is at zero
potential as shown.
Solution:
We use the replacement of partial
derivatives by central differences
Transcribed Image Text:PROBLEM 21 - 0533: Write a BASIC program to solve Laplace's equation (a²V/Əx?) + (a²V/ay²) = 0. Consider a rectangular 8 by 8 grid %3D with boundary conditions such that 3 sides are assumed to be at a potential of 100. The remaining side is at zero potential as shown. Solution: We use the replacement of partial derivatives by central differences
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY