Using python Solve the following equation numerically using the Heun method using h=0.1 and 0≤ t ≤10 du dt = (5t 2−u ) e (x +y) with the initial condition at t=0 , u (0)=1 As part of the solution process, converge the solution by decreasing the step size h. To determine if the solution is converged, you can find the maximum u (t ) for each step size h and plot maximum u (t ) .vs decreasing stepsize h.

Using python Solve the following equation numerically using the Heun method using h=0.1 and 0≤ t ≤10 du dt = (5t 2−u ) e (x +y) with the initial condition at t=0 , u (0)=1 As part of the solution process, converge the solution by decreasing the step size h. To determine if the solution is converged, you can find the maximum u (t ) for each step size h and plot maximum u (t ) .vs decreasing stepsize h.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.7: Do While Loops

Problem 6E: (Numerical analysis) Here’s a challenging problem for those who know a little calculus. The...

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