Use centered finite differences to solve the ordinary differential equation for 0≤x≤6 d² u du +3 --u+ x = 3 dx² dx with boundary conditions u(0) = 10 and u(6) = 2. Use Ax = 1.5. 4
Use centered finite differences to solve the ordinary differential equation for 0≤x≤6 d² u du +3 --u+ x = 3 dx² dx with boundary conditions u(0) = 10 and u(6) = 2. Use Ax = 1.5. 4
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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Transcribed Image Text:Use centered finite differences to solve the ordinary differential equation for 0≤x≤6
d²u
du
4
+3 -u+x= 3
dx²
dx
with boundary conditions u(0) = 10 and u(6) = 2. Use Ax= 1.5.
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