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Solvability of a mathematical model of dissociative adsorption and associative desorption type

100%

Ambrazevičius A., Eismontaitė A.

Open Mathematics

2013

tom 11

nr 6

1129-1139

A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.

Solvability of a coupled system of parabolic and ordinary differential equations

100%

Ambrazevičius A.

Open Mathematics

2010

tom 8

nr 3

537-547

A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.

Richardson Extrapolation combined with the sequential splitting procedure and the θ-method

88%

Zlatev Z., Faragó I., Havasi Á.

Open Mathematics

2012

tom 10

nr 1

159-172

Initial value problems for systems of ordinary differential equations (ODEs) are solved numerically by using a combination of (a) the θ-method, (b) the sequential splitting procedure and (c) Richardson Extrapolation. Stability results for the combined numerical method are proved. It is shown, by using numerical experiments, that if the combined numerical method is stable, then it behaves as a second-order method.

Ograniczanie wyników

3 Open Mathematics

2 Ambrazevičius A.

1 Eismontaitė A.

1 Faragó I.

1 Havasi Á.

1 Zlatev Z.

1 2013

1 2012

1 2010

Wyniki wyszukiwania

Solvability of a mathematical model of dissociative adsorption and associative desorption type

Solvability of a coupled system of parabolic and ordinary differential equations

Richardson Extrapolation combined with the sequential splitting procedure and the θ-method