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
English 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
en
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.
English 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
RIV year
2015
Released
01.10.2015
ISBN
0898-1221
Periodical
Computers and Mathematics with Applications
Year of study
2015 (70)
Number
8
State
GB
Pages from
1772
Pages to
1780
Pages count
9
URL
Documents
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",
annote="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.",
chapter="116953",
doi="10.1016/j.camwa.2015.07.018",
howpublished="online",
number="8",
volume="2015 (70)",
year="2015",
month="october",
pages="1772--1780",
type="journal article in Web of Science"
}