Article ID Journal Published Year Pages File Type
1703985 Applied Mathematical Modelling 2013 10 Pages PDF
Abstract

In this paper, a new DQ-based compact step-by-step integration method is proposed. Analytical proof of stability is presented. The method is unconditionally stable and not affected by algorithmic damping. Besides, sixth-order convergence can be achieved. A classical nonlinear model is studied as example application. Compared to other similar procedures, this new method provides accurate results, even if the step size is relatively large.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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