What is the concept of initial value problems in Numerical Analysis?

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What is the concept of initial value problems in Numerical Analysis?

In Numerical Analysis, initial value problems refer to a type of differential equation problem where the value of the unknown function and its derivative(s) are specified at a given initial point. The goal is to find an approximate solution to the differential equation that satisfies the given initial conditions. This involves using numerical methods and algorithms to approximate the solution over a given interval or range.