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Mixed problems for the time-dependent telegraph equation: Continuous numerical solutions with a priori error bounds

✍ Scribed by P. Almenar; L. Jódar; J.A. Martin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
900 KB
Volume
25
Category
Article
ISSN
0895-7177

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✦ Synopsis

This paper deals with the construction of continuous numerical solutions of mixed problems described by the timsdependent telegraph equation utt + c(t)ut + b(t)u = a(t)u,,, 0 < 2 < d, t > 0. Here a(t), b(t), and c(t) are positive functions with appropiate additional alternative hypotheses. First, using the separation of variables technique a theoretical series solution is obtained. Then, after truncation using one-step matrix methods and interpolating functions, a continuous numerical solution with a prefixed accuracy in a bounded subdomain is constructed. Keywords--Time-dependent telegraph equation, Mixed problems, Continuous numerical solution, A priori error bound, Separation of variables, One-step matrix methods.

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