One-Step Block Hybrid Integrator for the Numerical Solution of Semi-Explicit Index-1 DAEs Systems

Abstract

In this study, the derivation, stability analysis and the application of a one-step Hybrid method for solving systems of semi-explicit Index-1 Differential-Algebraic Equations (DAEs) were discussed. A semi-explicit differential-algebraic equation consists of a system of ordinary differential equations and algebraic equations. Interpolation and collocation technique was employed for the derivation of the Continuous form of the proposed method (CHM). The discrete schemes were computed by evaluating CHM at specific grid and off-grid points and were implemented as a block Integrator (BHI). The numerical results of BHI obtained showed its efficiency when compared with the exact solutions and some existing methods.