Ordinary Differential Equation Task

Reference no: EM132407370

Ordinary Differential Equation Task -

Problem statement - Add a function to your class that solves the following ODE using semi-implicit approach with a weighting of 0.5 and fully -implicit approach.

dy/dx = -y f(y)

Where f(y)= is the function

Use the function to solve the ordinary equation with an initial condition of y(0) = 2 in the interval x = [0, 1] with increment of respective 0.1, 0.01 , 0.001.

Plot the result using each interval size in the same plot.

Assuming that the result obtained with Δx = 0.001 is the accurate result ,report the percentage error as a result of the two other intervals using the value of y estimated at x=1.

Notes : Make sure every line of your code has commented that explain what it does and submit the C++ code (all files with extensions .cpp or .h) the text file created and the graph. Also write the two function in a separate .cpp file and write the declaration in a separate .h file and include it into your main program.

Reference no: EM132407370

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Ordinary Differential Equation Task : Ordinary Differential Equation Task - Use the function to solve the ordinary equation with an initial condition of y(0) = 2

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len2407370

11/25/2019 10:44:57 PM

I need to get it done. Notes : Make sure every line of your code has commented that explain what it does and submit the C++ code (all files with extensions .cpp or .h) the text file created and the graph .Also write the two function in a separate .cpp file and write the declaration in a separate .h file and include it into your main program.

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