Euler Backward Method -- from Wolfram MathWorld
mathworld.wolfram.com › EulerBackwardMethodDec 17, 2021 · Euler Backward Method. An implicit method for solving an ordinary differential equation that uses in . In the case of a heat equation, for example, this means that a linear system must be solved at each time step. However, unlike the Euler forward method, the backward method is unconditionally stable and so allows large time steps to be taken.
Backward Euler Method - University of Illinois
heath.cs.illinois.edu › iem › odeBackward Euler Method This module illustrates the implicit Backward Euler method for numerically solving initial value problems for ordinary differential equations. A numerical method for an ordinary differential equation (ODE) generates an approximate solution step-by-step in discrete increments across the interval of integration, in effect ...
Backward Euler method - Wikipedia
https://en.wikipedia.org/wiki/Backward_Euler_methodIn numerical analysis and scientific computing, the backward Euler method (or implicit Euler method) is one of the most basic numerical methods for the solution of ordinary differential equations. It is similar to the (standard) Euler method, but differs in that it is an implicit method. The backward Euler method has error of order one in time.