An efficient second-order stable numerical method is presented to solve the model partial differential equations of thermal glass fiber processing. The physical process and structure of the model equations are described first. The numerical issues are then clarified. The heart of our method is a MacCormack scheme with flux limiting. The numerical method is validated on a linearized isothermal m...

This paper considers a deep analysis of three-level explicit time-split MacCormack method, namely the locally one-dimensional for numerical solution two-dimensional nonlinear evolutionary advection-diffusion equation subjects to suitable initial and boundary conditions. The splitting reduces computational cost algorithm. Under time-step restriction, both theoretical results on stability error e...

In this work, a predictor–corrector compact difference scheme for nonlinear fractional differential equation is presented. The MacCormack method provided to deal with terms, the Riemann–Liouville (R-L) integral term treated by means of second-order convolution quadrature formula, and Caputo derivative discretized L1 discrete formula. Through first second derivatives matrix under difference, we ...

The offer made by tlie President of the lloyal College of Surgeons to proceed to the Cape in the capacity of Consulting Surgeon has been accepted by Government with graceful alacrity; and, after a very hearty "send off" at Waterloo by the students of St. Thomas's Hospital and probably other schools, Sir William proceeded from Southampton by the Union liner Breton. He is to be associated in his ...

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