Consider a numerical analysis of a differential equation,
y ′′ = −y, (1)
with initial conditions for:
y = 0 and y′ = 1 at x = 0
The exact solution is known to be
y = sin x.
Conduct numerical analysis for 0 ≤ x ≤ 2π using various methods and analyze the following items:
The report should be in A4 size and include a description of the problem, methods, analysis with fifigures and tables, discussion, and conclusions. MATLAB code written in live-script (.mlx) should be presented as an appendix.