Finite Difference Method

A numerical technique that approximates derivatives in differential equations by algebraic difference quotients on a discrete grid, producing a system of algebraic equations whose solutions approximate the continuous problem.

A numerical technique that approximates derivatives by replacing them with algebraic difference quotients evaluated on a discrete grid of points, producing algebraic equations that approximate differential equations.

A numerical technique that approximates derivatives in differential equations by algebraic finite difference expressions on a discrete grid, converting continuous governing equations into a system of algebraic equations solved for field variables; commonly applied to time‑dependent and steady problems in structural, thermal and geotechnical engineering on structured meshes.