On the method of lines for a non-linear heat equation with functional dependence

H. Leszczyński

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 1, page 61-74
  • ISSN: 0066-2216

Abstract

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We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.

How to cite

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H. Leszczyński. "On the method of lines for a non-linear heat equation with functional dependence." Annales Polonici Mathematici 69.1 (1998): 61-74. <http://eudml.org/doc/270440>.

@article{H1998,
abstract = {We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.},
author = {H. Leszczyński},
journal = {Annales Polonici Mathematici},
keywords = {method of lines; stability; consistency; nonlinear heat equation; functional dependence; convergence},
language = {eng},
number = {1},
pages = {61-74},
title = {On the method of lines for a non-linear heat equation with functional dependence},
url = {http://eudml.org/doc/270440},
volume = {69},
year = {1998},
}

TY - JOUR
AU - H. Leszczyński
TI - On the method of lines for a non-linear heat equation with functional dependence
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 1
SP - 61
EP - 74
AB - We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.
LA - eng
KW - method of lines; stability; consistency; nonlinear heat equation; functional dependence; convergence
UR - http://eudml.org/doc/270440
ER -

References

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