Question

What is initial value problem in numerical analysis?

Answer 1

In the field of differential equations, an initial value problem (also called a Cauchy problem by some authors[citation needed]) is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution. In physics or other sciences, modeling a system frequently amounts to solving an initial value problem; in this context, the differential initial value is an equation that is an evolution equation specifying how, given initial conditions, the system will evolve with time.