Abstract
A way of constructing the interval method of second order for solving one dimensional wave equation is presented in the paper. The central difference interval method for the hyperbolic Partial Differential Equation is taken into consideration. The suitable Dirichlet and Cauchy conditions are satisfied for the string with fixed endpoints. The estimations of discretization errors are proposed. The method of floating-point interval arithmetic is studied. The numerical experiment is presented. © 2012 Springer-Verlag.
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Szyszka, B. (2012). The central difference interval method for solving the wave equation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7204 LNCS, pp. 523–532). https://doi.org/10.1007/978-3-642-31500-8_54
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