Article ID Journal Published Year Pages File Type
1139154 Mathematics and Computers in Simulation 2016 5 Pages PDF
Abstract

Our goal is to construct a nonstandard finite difference (NSFD) scheme for the linearized Euler partial differential equations (PDE's) modeling acoustic propagation in one space dimension. Unlike other works on this discretization problem, we formulate it in terms of a single, second-order PDE rather than as two separate first-order equations. The important mathematical features of this scheme are discussed.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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