What is the concept of finite difference method for solving differential equations?

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What is the concept of finite difference method for solving differential equations?

The finite difference method is a numerical technique used to approximate the solutions of differential equations. It involves replacing the derivatives in the differential equation with finite difference approximations, which are obtained by discretizing the domain of the problem into a grid of points. By solving the resulting system of algebraic equations, the finite difference method provides an approximate solution to the original differential equation.