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Use the Lax-Wendroff method to derive a numerical scheme by using second order differences. Use this scheme to calculate u(0.8, 0.1) to 4 decimal places. u(x,t)=(-(t*cos(x-t/2)-2*sin(x)))/2 u(x,0)=sin(x)

Use the Lax-Wendroff method to derive a numerical scheme by using second order differences. Use this scheme to calculate u(0.8, 0.1) to 4 decimal places. u(x,t)=(-(t*cos(x-t/2)-2*sin(x)))/2 u(x,0)=sin(x)

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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Use the Lax-Wendroff method to derive a numerical scheme by using second order differences. Use this scheme to calculate u(0.8, 0.1) to 4 decimal places. u(x,t)=(-(t*cos(x-t/2)-2*sin(x)))/2 u(x,0)=sin(x)
Transcribed Image Text:Use the Lax-Wendroff method to derive a numerical scheme by using second order differences. Use this scheme to calculate u(0.8, 0.1) to 4 decimal places. u(x,t)=(-(t*cos(x-t/2)-2*sin(x)))/2 u(x,0)=sin(x)
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