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

Annales Polonici Mathematici (1998)

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

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topH. 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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