Numerical algorithm based on transmutation for solving inverse wave equation

This paper develops algorithms for solving an undetermined coefficient problem for a wave equation. The algorithms are based on an integral representation for the solution to the wave equation obtained by using transmutation. The convergence of the algorithm is studied and numerical experiments are...

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Veröffentlicht in:	Mathematical and computer modelling 2004-06, Vol.39 (13), p.1467-1476
Hauptverfasser:	Lin, Zhongyan, Gilbert, R.P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper develops algorithms for solving an undetermined coefficient problem for a wave equation. The algorithms are based on an integral representation for the solution to the wave equation obtained by using transmutation. The convergence of the algorithm is studied and numerical experiments are performed.
ISSN:	0895-7177 1872-9479
DOI:	10.1016/j.mcm.2004.07.005