Applications in materials, medicine, and computers are being discovered where the control of events at the molecular and nanoscopic scales is critical to product quality, while the primary manipulation of these events during processing occurs at macroscopic length scales. In such applications, one of the most significant engineering challenges is to achieve control over phenomena that occur sim...

This paper discusses predictor-corrector iteration schemes (PC iteration schemes) based on direct collocation-based Runge-Kutta-Nystr??m corrector methods (RKN corrector methods) for solving nonstiff initial-value problems (IVPs) for systems of special second-order differential equations y??(t)=f(y(t)). Our approach is to regard the well-known parallel-iterated RKN methods (PIRKN methods) as PC...

The smooth variable structure filter (SVSF) is a relatively new state and parameter estimation technique. Introduced in 2007, it is based on the sliding mode concept, and is formulated in a predictor-corrector fashion. The main advantages of the SVSF, over other estimation methods, are robustness to modeling errors and uncertainties, and its ability to detect system changes. Recent developments...

A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers-Huxley equation. The resulting nonlinear system, which is analyzed for stability, is solved using an improved predictor-corrector method. The efficiency of the proposed method is tested to the kink wave using both appropriate boundary values and condi...

This paper describes a multilevel method in lexical-morphological analysis which offers robustness and avoids overgeneration. The proposed levels are three: the analysis of standard forms, the analysis of linguistic variants, and the analysis without lexicon. This method can be seen as a variant of constraint relaxation used in syntax. This solution is being used in two different applications: ...

This article provides an analysis for the delay fractional differential equations in Caputo sense by an introduction of an improved predictorcorrector formula. The delay term is expressed either as a constant or time varying. The implication of this new approach is used to improvise the algorithm. A vivid description of the convergence and detailed error analysis of the improved predictor-corre...

This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly” constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary. AMS Subject Classification...

In this paper, SIJR e-epidemic model of fractional order for the transmission of viruses in computer network with natural death has been presented. The fractional derivatives are described in the Caputo sense. In this model the nodes have two levels of infection. Predictor-Corrector method is employed to obtain numerical solution of presented model.

The article presents a new scalable iterative method for linear programming called the “apex method”. key feature of this is constructing path close to optimal on surface feasible region from certain starting point exact solution problem. refers minimum length according Euclidean metric. apex based predictor—corrector framework and proceeds in two stages: quest (predictor) target (corrector). s...