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Show that to order 0(h²), the central difference formula for the partial derivative a³u(x.t) can be written as 3x³ by using Taylor Approximation. a³u u(x+2h,t)-2u(x+ht)+2u(x-h,t)-u(x-2h.t) 3x3 2h³

Show that to order 0(h²), the central difference formula for the partial derivative a³u(x.t) can be written as 3x³ by using Taylor Approximation. a³u u(x+2h,t)-2u(x+ht)+2u(x-h,t)-u(x-2h.t) 3x3 2h³

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Show that to order 0(h²), the central difference formula for the partial derivative a³u(x,t) 3x³ can be written as by using Taylor Approximation. a³u u(x+2h,t)-2u(x+ht)+2u(x-h,t)-u(x-2h,t) 3x³ 2h³
Transcribed Image Text:Show that to order 0(h²), the central difference formula for the partial derivative a³u(x,t) 3x³ can be written as by using Taylor Approximation. a³u u(x+2h,t)-2u(x+ht)+2u(x-h,t)-u(x-2h,t) 3x³ 2h³
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