Solve the following ODE in time using finite difference method based on backward differences with error O(h). Use a six node grid, with final time t = 1.0. 40-25-0 (0) = 0 (0)=2 Solve analytically and compare the solution values at the nodes.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.6: Variation
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3. Solve the following ODE in time using finite difference method based on backward differences with
error O(h). Use a six node grid, with final time t = 1.0.
4
(0) = 0
25-0
(0) = 2
Solve analytically and compare the solution values at the nodes.
Transcribed Image Text:3. Solve the following ODE in time using finite difference method based on backward differences with error O(h). Use a six node grid, with final time t = 1.0. 4 (0) = 0 25-0 (0) = 2 Solve analytically and compare the solution values at the nodes.
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