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A Comparative Study of Two Difference Schemes for Hyperbolic Equations

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Explicit and implicit difference schemes are two common methods for solving hyperbolic partial differential equations. By using these two methods to calculate the numerical solution and error of the second order hyperbolic partial differential equation, and analyzing the program running time, this paper makes a deep comparison between them. The results show that: the explicit difference scheme method is simple in calculation and its program running time is short, but when the se-lected step ratio is small, it shows that the algorithm of the explicit difference scheme method is not convergent; while the implicit difference scheme method is convergent for any step ratio, but its calculation process is more complex and the program running time is longer.

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