# predictor-corrector methods

## predictor-corrector methods

[′pri¦dik·tər kə′rek·tər ‚meth·ədz]
(mathematics)
Methods of calculating numerical solutions of differential equations that employ two formulas, the first of which predicts the value of the solution function at a point x in terms of the values and derivatives of the function at previous points where these have already been calculated, enabling approximations to the derivatives at x to be obtained, while the second corrects the value of the function at x by using the newly calculated values.
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After explaining its basic properties, they describe its use in explicit Runte-Kutta methods, linear multi-step and predictor-corrector methods, some implicit methods, splitting techniques, advection problems, and other problems.
Adams predictor-corrector methods are recommended for simulating systems with an easy or moderate stiff behavior.
KHALIQ, A linearlyimplicit predictor-corrector methods for reaction-diffusion equations, Comput.
Implicit-explicit predictor-corrector method for the discretisation in time.
In recent years, Noor [15]-[27] and Noor-Noor and Rassias [28] have used this technique to study some predictor-corrector methods for various classes of equilibrium and variational inequality problems.
We have used the auxiliary principle technique to suggest and analyze several three-step predictor-corrector methods and proximal-point methods for solving the general bifunction variational inequalities.
Examples of the multistep methods are the predictor-corrector methods of Adams Bashforth and Moulton.
Multistep, Multivalue, and Predictor-Corrector Methods.
They are usually implemented as predictor-corrector methods using both an explicit and an implicit method to calculate [y.
Noor: Predictor-corrector methods for multi-valued hemiequilibrium problems, Appl.
Statter, Generalized multi-step predictor-corrector methods, ACM, 11, pp.
2 Relative errors using different time-steps for the predictor-corrector methods [AB2.

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