Detail publikace

Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations

REBENDA, J. ŠMARDA, Z.

Originální název

Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Existence and uniqueness of solutions of initial value problem for certain classes of multidimensional linear and nonlinear partial differential equations are proved using Banach fixed-point theorem. An iterative scheme is derived and rigorous convergence analysis of this scheme and an error estimate are included as well.

Klíčová slova

Partial differential equation; Banach fixed-point theorem; Iterative scheme; Convergence analysis; Error estimate

Autoři

REBENDA, J.; ŠMARDA, Z.

Rok RIV

2015

Vydáno

1. 10. 2015

ISSN

0898-1221

Periodikum

Computers and Mathematics with Applications

Ročník

2015 (70)

Číslo

8

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1772

Strany do

1780

Strany počet

9

URL

http://dx.doi.org/10.1016/j.camwa.2015.07.018

BibTex

@article{BUT116953,
  author="Josef {Rebenda} and Zdeněk {Šmarda}",
  title="Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations",
  journal="Computers and Mathematics with Applications",
  year="2015",
  volume="2015 (70)",
  number="8",
  pages="1772--1780",
  doi="10.1016/j.camwa.2015.07.018",
  issn="0898-1221",
  url="http://dx.doi.org/10.1016/j.camwa.2015.07.018"
}