A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions

A. Merad and J. Martín-Vaquero

Applied Mathematics and Computation, 2016, vol. 291, issue C, 386-394

Abstract: The present paper is devoted to the solution for two-dimensional hyperbolic integro-differential equations subject to purely integral conditions. First, it is demonstrated the existence and uniqueness of the solution under certain conditions. For the numerical approach, a Galerkin method based on least squares is proposed. The numerical examples illustrate the technique and show the efficiency of the proposed method.

Keywords: Galerkin scheme; Purely integral conditions; Two-dimensional hyperbolic integro-differential equation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:291:y:2016:i:c:p:386-394

DOI: 10.1016/j.amc.2016.07.003

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