๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Numerical methods for nonlinear first-order partial differential equations with deviated variables

โœ Scribed by Anna Baranowska

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
169 KB
Volume
22
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In the article classical solutions of initial problems for nonlinear differential equations with deviated variables are approximated by solutions of quasilinear systems of difference equations. Interpolating operators on the Haar pyramid are used. Sufficient conditions for the convergence of the method are given. The proof of the stability of the difference problem is based on a comparison method. This new approach to solving nonlinear equations with deviated variables numerically is based on a method of linearization for initial problems. Numerical examples are given.

๐Ÿ“œ SIMILAR VOLUMES

Third-order methods for first-order hype
Third-order methods for first-order hyperbolic partial differential equations
โœ Cheema, T. A. ;Taj, M. S. A. ;Twizell, E. H. ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 102 KB

## Abstract In this paper numerical methods for solving firstโ€order hyperbolic partial differential equations are developed. These methods are developed by approximating the firstโ€order spatial derivative by thirdโ€order finiteโ€difference approximations and a matrix exponential function by a thirdโ€o

Numerical solution of first-order hyperb
Numerical solution of first-order hyperbolic partial differential-difference equation with shift
โœ Paramjeet Singh; Kapil K. Sharma ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB

## Abstract In this article, we continue the numerical study of hyperbolic partial differentialโ€difference equation that was initiated in (Sharma and Singh, __Appl Math Comput__ 201(2008), 229โ€“238). In Sharma and Singh, the authors consider the problem with sufficiently small shift arguments. The t