Abstract
We consider analogs of the Galerkin method for a linear wave equation of the fifth order with generalized functions on the right-hand side. Theorems on the convergence of an approximate method, depending on the order of singularity of the right-hand side, are proved.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 6, pp. 778–786, June, 2006.
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Nomirovs’kyi, D.A. Convergence of the Galerkin method for a wave equation with singular right-hand side. Ukr Math J 58, 876–886 (2006). https://doi.org/10.1007/s11253-006-0110-9
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DOI: https://doi.org/10.1007/s11253-006-0110-9