The application of a finite-difference scheme to the heat equation on a three-point grid results in the following system of equations: u+¹=[A]u where 0 i] T and r= a^t/(Ax)². Determine the stability of this scheme. [A]= 10 1-2r 0 0 1
The application of a finite-difference scheme to the heat equation on a three-point grid results in the following system of equations: u+¹=[A]u where 0 i] T and r= a^t/(Ax)². Determine the stability of this scheme. [A]= 10 1-2r 0 0 1
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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