Geodesic
Method of lines for pseudoparabolic equations
Danuta Jaruszewska-Walczak1 ; Krzysztof A. Topolski1
1Institute of Mathematics Faculty of Mathematics, Physics and Informatics University of Gdańsk 80-308 Gdańsk, Poland
Annales Polonici Mathematici, Tome 120 (2017) no. 1, pp. 41-61
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We consider initial-boundary-value problems for a class of pseudoparabolic partial differential equations. Local-in-time existence results and nonexistence of global-in-time solutions are proved. We apply the method of lines to approximate pseudoparabolic equations by systems of ordinary differential equations. We present a complete convergence analysis for this semidiscretization method. Blow-up for approximate solutions is showed. Numerical experiments confirm the theoretical results.
DOI : 10.4064/ap4097-9-2017
Keywords: consider initial boundary value problems class pseudoparabolic partial differential equations local in time existence results nonexistence global in time solutions proved apply method lines approximate pseudoparabolic equations systems ordinary differential equations present complete convergence analysis semidiscretization method blow up approximate solutions showed numerical experiments confirm theoretical results

Danuta Jaruszewska-Walczak  1   ; Krzysztof A. Topolski  1

1 Institute of Mathematics Faculty of Mathematics, Physics and Informatics University of Gdańsk 80-308 Gdańsk, Poland 
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Danuta Jaruszewska-Walczak; Krzysztof A. Topolski. Method of lines for pseudoparabolic equations. Annales Polonici Mathematici, Tome 120 (2017) no. 1, pp. 41-61. doi: 10.4064/ap4097-9-2017

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