1- Obtain the numerical solution of the partial differential equation given below using the central difference method. d²ud²u əx² g 4x=2.5, 4y= 4 --2=0 u(0,y)=20, u(x,0)=0, u(10,y) = 40 u(x,12)=70
1- Obtain the numerical solution of the partial differential equation given below using the central difference method. d²ud²u əx² g 4x=2.5, 4y= 4 --2=0 u(0,y)=20, u(x,0)=0, u(10,y) = 40 u(x,12)=70
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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![1- Obtain the numerical solution of the partial differential equation given below using the
central difference method.
d²ud²u
əx²
g
4x=2.5, 4y= 4
--2=0
u(0,y)=20, u(x,0)=0, u(10,y) = 40 u(x,12)=70](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85178eeb-5d69-42e6-b2c6-33fc67faa172%2F7a91d655-fc86-458c-9670-ac8216338cca%2Ff5b8wse_processed.png&w=3840&q=75)
Transcribed Image Text:1- Obtain the numerical solution of the partial differential equation given below using the
central difference method.
d²ud²u
əx²
g
4x=2.5, 4y= 4
--2=0
u(0,y)=20, u(x,0)=0, u(10,y) = 40 u(x,12)=70
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