Detail publikačního výsledku

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

Anglický název

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

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

REBENDA, J.; ŠMARDA, Z.

Rok RIV

2016

Vydáno

01.10.2015

ISSN

0898-1221

Periodikum

COMPUTERS & MATHEMATICS WITH APPLICATIONS

Svazek

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 & 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"
}