First-Order Numerical Procedure

Definition

A first-order numerical procedure is an algorithm used to approximate solutions to first-order ordinary differential equations. It involves dividing the interval into small steps and using iterative calculations to estimate values at each step.

Related terms

Euler's Method:

Euler's method is a specific first-order numerical procedure that uses linear approximations to estimate solutions.

Runge-Kutta Methods: Runge-Kutta methods are more accurate and sophisticated first-order numerical procedures that use weighted averages of multiple estimates at each step.

Taylor Series Method: The Taylor series method expands the function into an infinite sum of terms, allowing for higher accuracy in approximating solutions.