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The approximation of the second order partial derivative -is u(x+h,y) - 2u(x,y)+u(x-h,y) u(x+h,y) + 2u(x,y) +u(x-h,y) h? u(x+2h,y) – 2u(x,y)+u(x-h,y) u(x+h,y) – u(x,y)+u(x-h,y) z4

The approximation of the second order partial derivative -is u(x+h,y) - 2u(x,y)+u(x-h,y) u(x+h,y) + 2u(x,y) +u(x-h,y) h? u(x+2h,y) – 2u(x,y)+u(x-h,y) u(x+h,y) – u(x,y)+u(x-h,y) z4

Advanced Engineering Mathematics
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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The approximation of the second order partial derivative -is u(x+h,y) – 2u(x,y)+ u(x-h,y) h? u(x+h,y) + 2u(x,y) +u(x-h,y) h? u(x+2h,y) – 2u(x,y) +u(x-h,y) u(x+h,y) – u(x,y)+u(x-h,y) z4
Transcribed Image Text:The approximation of the second order partial derivative -is u(x+h,y) – 2u(x,y)+ u(x-h,y) h? u(x+h,y) + 2u(x,y) +u(x-h,y) h? u(x+2h,y) – 2u(x,y) +u(x-h,y) u(x+h,y) – u(x,y)+u(x-h,y) z4
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