Publication detail

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

REBENDA, J. ŠMARDA, Z.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

REBENDA, J.; ŠMARDA, Z.

RIV year

2015

Released

1. 10. 2015

ISBN

0898-1221

Periodical

Computers and Mathematics with Applications

Year of study

2015 (70)

Number

8

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1772

Pages to

1780

Pages count

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"
}