Implicit vs Explicit Numerical Methods | CFD-101 by Dr. CW ...
www.flow3d.com › resources › cfd-101Numerical solution schemes are often referred to as being explicit or implicit. When a direct computation of the dependent variables can be made in terms of known quantities, the computation is said to be explicit. When the dependent variables are defined by coupled sets of equations, and either a matrix or iterative technique is needed to obtain the solution, the numerical method is said to be implicit.
Implicit vs. Explicit Functions
faculty.uml.edu › rbrent › 1380Implicit vs. Explicit Functions: The equation . y =xsin x explicitly defines y as a function of x. Plug in a value of x on the right hand side and out pops y on the left hand side. We write . y = f (x) to denote explicit functions. Consider the equation . x2+ y3=1. If . x =0, y. 3 =1, or . y =1. If . x =1, y. 3 =0, or . y =0. If . x = 2, 3 . 2+ y =1, 3or . y = −1, and so . y = −1.