Geodesic
Numerical methods for solving a hereditary equation of hyperbolic type
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 222-231 Cet article a éte moissonné depuis la source Math-Net.Ru

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A family of grid methods is constructed for the numerical solution of a wave equation with time delay of general form; the methods are based on the idea of separating the current state and the prehistory function. A theorem on the order of convergence of the methods is obtained by means of embedding into a general difference scheme with aftereffect. Results of calculating test examples with constant and variable time delay are presented.
Keywords: numerical methods, wave equation, time delay, difference schemes, order of convergence.
Mots-clés : interpolation, extrapolation 
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V. G. Pimenov; E. E. Tashirova. Numerical methods for solving a hereditary equation of hyperbolic type. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 222-231. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a20/

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