Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations
作者： Joseph Oliger
DOI: 10.1090/S0025-5718-1974-0359344-7
关键词: Order (group theory) 、 Convergence (routing) 、 Third order 、 Approximations of π 、 Mathematical analysis 、 Boundary value problem 、 Hyperbolic partial differential equation 、 Fourth order 、 Mathematics 、 Space (mathematics)
摘要: Centered difference approximations of fourth order in space and second time are applied to the mixed initial boundary-value problem for hyperbolic equation u t =-cu.. A method utilizing third uncentered differences at boundaries is shown be stable retain an overall convergence estimate. Several compu- tational examples illustrate success these methods problems with one two spacial dimensions. Further effects various orders accuracy used boundaries.
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