Can someone tell me what is numerov's method ?
Numerov's Method is a numerical algorithm used to solve ordinary differential equations. It is particularly useful for solving second-order differential equations.
Numerov's Method works by approximating the solution of a differential equation at discrete points along the domain. It uses a combination of forward and backward differencing to calculate the next point in the solution.
Numerov's Method is known for its accuracy and efficiency in solving second-order differential equations. It also allows for a larger step size compared to other numerical methods, resulting in faster computation times.
No, Numerov's Method is specifically designed for solving second-order differential equations. It cannot be used for higher-order equations or systems of equations.
One limitation of Numerov's Method is that it can only be used for linear differential equations. It may also produce inaccurate results if the step size is not chosen carefully.