𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Efficient solution of a wave equation with fractional-order dissipative terms

✍ Scribed by H. Haddar; J.-R. Li; D. Matignon


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
331 KB
Volume
234
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Blow up of positive initial energy solut
✍ Liqing Lu; Shengjia Li πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 221 KB

In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established.

Solution representations for a wave equa
✍ Jens Wirth πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 187 KB

## Abstract We consider the Cauchy problem for the weakly dissipative wave equation β–‘__v__+__ΞΌ__/1+__t__ __v__~__t__~=0, __x__βˆˆβ„^__n__^, __t__β‰₯0 parameterized by ΞΌ>0, and prove a representation theorem for its solutions using the theory of special functions. This representation is used to obtain _

General solution of the Bagley–Torvik eq
✍ Z.H. Wang; X. Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 198 KB

This paper investigates the general solution of the Bagley-Torvik equation with 1/2-order derivative or 3/2-order derivative. This fractional-order differential equation is changed into a sequential fractional-order differential equation (SFDE) with constant coefficients. Then the general solution o

Traveling solitary wave solutions to evo
✍ Zhaosheng Feng πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 131 KB

Many physical phenomena in one-or higher-dimensional space can be described by nonlinear evolution equations, which can be reduced to ordinary differential equations such as the Lienard equation. Thus, to study those ordinary differential equations is of significance not only in mathematics itself,

A hybrid legendre tau method for the sol
✍ Fatemeh Shakeri; Mehdi Dehghan πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 473 KB πŸ‘ 1 views

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 ne