The numerical approximation of model of the longitudinal motion of a viscoelastic rod is investigated. Their constitutive assumptions ensure that infinite compressive stress is needed to produce total compression of the rod. Analyses of the regularity of the solution of the continuous problem, the
A class of nonlinear parabolic-hyperbolic equations applied to image restoration
β Scribed by Yang Cao; Jingxue Yin; Qiang Liu; Meihui Li
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 892 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
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Of concern is the following totally nonlinear parabolic equation, as well as its higher space dimensional analogue
The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.
In this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution.