| Title |
On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions |
| Authors |
Jachimavičienė, Justina ; Sapagovas, Mifodijus ; Štikonas, Artūras ; Štikonienė, Olga |
| DOI |
10.15388/NA.2014.2.6 |
| Full Text |
|
| Is Part of |
Nonlinear analysis : modelling and control.. Vilnius : Institute of Mathematics and Informatics. 2014, vol. 19, no. 2, p. 225-240.. ISSN 1392-5113 |
| Keywords [eng] |
Pseudoparabolic equation ; Nonlocal conditions ; Stability regions ; Nonlinear eigenvalue problem |
| Abstract [eng] |
A new explicit conditionally consistent finite difference scheme for one-dimensional third-order linear pseudoparabolic equation with nonlocal conditions is constructed. The stability of the finite difference scheme is investigated by analysing a nonlinear eigenvalue problem. The stability conditions are stated and stability regions are described. Some numerical experiments are presented in order to validate theoretical results. |
| Published |
Vilnius : Institute of Mathematics and Informatics |
| Type |
Journal article |
| Language |
English |
| Publication date |
2014 |
| CC license |
|
