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A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms |
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| Authors: | Fatemeh Shakeri Mehdi Dehghan |
| Institution: | Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15914, Iran |
| 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 |
| Keywords: | wave equation fourth order Legendre tau method finite difference technique dissipative term elasto‐plastic materials nonlinear strain and source terms longitudinal motion of an elasto‐plastic bar |