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2.1 Use the Taylor series approach to find the local truncation error, E, when the approximation: ap Əx is made in the form E = Ah" where A and n should be found. 2.2 Repeat the procedure above for the approximation Pi+1,j - Pij + E h = = 8²¢ $i+1,j − 20i,j + di-1,j + E. მე2 h²

2.1 Use the Taylor series approach to find the local truncation error, E, when the approximation: ap Əx is made in the form E = Ah" where A and n should be found. 2.2 Repeat the procedure above for the approximation Pi+1,j - Pij + E h = = 8²¢ $i+1,j − 20i,j + di-1,j + E. მე2 h²

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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2.1 Use the Taylor series approach to find the local truncation error, E, when the approximation: дф фi+1,j - Фіз Ditlij Ər h Ahn where A and n should be found. above for the approximation Pi+1-20i,j + Øi-¹,j + E. h² is made in the form E 2.2 Repeat the procedure 8² дх2 = - + E
Transcribed Image Text:2.1 Use the Taylor series approach to find the local truncation error, E, when the approximation: дф фi+1,j - Фіз Ditlij Ər h Ahn where A and n should be found. above for the approximation Pi+1-20i,j + Øi-¹,j + E. h² is made in the form E 2.2 Repeat the procedure 8² дх2 = - + E
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