Improved Euler's Method Code

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Sarita March
Sarita March 2018-12-14
评论： Jan 2018-12-14
Problem 1: Consider the following Initial Value Problem (IVP) where ? is the dependent variable and ? is the independent variable: ? ′ = sin(?) ∗ (1 − ?) with ?(0) = ?0 and ? ≥ 0 Note: the analytic solution for this IVP is: ?(?) = 1 + (?0 − 1)?^cos(?)−1.
Part 1B: Approximate the solution to the IVP using the Improved Euler’s method with the following conditions: Initial condition ?0 = − 1/2 ; time step ℎ = 1/16 ; and time interval ? ∈ [0,20]
+ Derive the recursive formula for the Improved Euler’s method applied to this IVP
+ Plot the Improved Euler’s method approximation
+ Plot the absolute error between the approximation and the exact solution using a semilog plot
  2 个评论
James Tursa
James Tursa 2018-12-14
What have you done so far? What specific problems are you having with your code?
Jan
Jan 2018-12-14
@Sarita: The forum will not solve homework questions.

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