Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions

Malaschonok, Natasha

Serdica Journal of Computing (2013)

  • Volume: 7, Issue: 3, page 199-214
  • ISSN: 1312-6555

Abstract

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An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed.Supported by RFBR, No.12-07-00755-a, RusMES No.1.345.2011

How to cite

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Malaschonok, Natasha. "Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions." Serdica Journal of Computing 7.3 (2013): 199-214. <http://eudml.org/doc/268673>.

@article{Malaschonok2013,
abstract = {An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed.Supported by RFBR, No.12-07-00755-a, RusMES No.1.345.2011},
author = {Malaschonok, Natasha},
journal = {Serdica Journal of Computing},
keywords = {Laplace–Carson transform; systems of partial differential equations; symbolic solving; compatibility conditions},
language = {eng},
number = {3},
pages = {199-214},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions},
url = {http://eudml.org/doc/268673},
volume = {7},
year = {2013},
}

TY - JOUR
AU - Malaschonok, Natasha
TI - Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions
JO - Serdica Journal of Computing
PY - 2013
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 7
IS - 3
SP - 199
EP - 214
AB - An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed.Supported by RFBR, No.12-07-00755-a, RusMES No.1.345.2011
LA - eng
KW - Laplace–Carson transform; systems of partial differential equations; symbolic solving; compatibility conditions
UR - http://eudml.org/doc/268673
ER -

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