๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms

โœ Scribed by Fatemeh Shakeri; Mehdi Dehghan


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
473 KB
Volume
27
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Existence of a Solution of the Wave Equa
โœ V. Georgiev; G. Todorova ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 375 KB

We study the nonlinear wave equation involving the nonlinear damping term \(u_{i}\left|u_{t}\right|^{m-1}\) and a source term of type \(u|u|^{p-1}\). For \(1<p \leqslant m\) we prove a global existence theorem with large initial data. For \(1<m<p\) a blow-up result is established for sufficiently la

Existence of travelling wave solutions f
โœ Mads Kyed ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 234 KB ๐Ÿ‘ 1 views

## Abstract The existence of travelling wave solutions for the heat equation โˆ‚~__t__~ __u__ โ€“ฮ”__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (โˆ‚__u__ /โˆ‚__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin

On the Two-step Newton Method for the So
โœ J. Appell; E. De Pascale; N. A. Evkhuta; P. P. Zabrejko ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 364 KB ๐Ÿ‘ 2 views

Building on the method of Kantorovich majorants, we give convergence results and error estimates for the two-step Newton method for the approximate solution of a nonlinear operator equation.