Abstract
This article presents a technique based on the hybrid Legendre tau-finite difference method to solve the fourth order wave equation which arises in the elasto-plastic-microstructure models for longitudinal motion of an elasto-plastic bar. Illustrative examples and numerical results obtained using new technique demonstrate that the proposed approach is efficient in treating longitudinal equation of ealsto-plastic bar. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1055–1071, 2011
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