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Akademický článek
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Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 3, Pp 581-586 (1991)
The stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem is converted to a singular integral equation that
Externí odkaz:
https://doaj.org/article/c4e13547684245e7b6ce545e84d4dae5
Publikováno v:
Reports on mathematical physics
Exact travelling wave solutions of some nonlinear evolution equations of mathematical physics are obtained by using the mapping method and the extended F -expansion method. It is well known that different types of exact solutions of a given auxiliary
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ec2dfac19b3721a8ced8358bf5c3221
https://doi.org/10.1016/s0034-4877(10)00020-0
https://doi.org/10.1016/s0034-4877(10)00020-0
Publikováno v:
Mathematical and computer modelling
In this paper, we introduce a spectral collocation method based on Lagrange polynomials for spatial derivatives to obtain numerical solutions for some coupled nonlinear evolution equations. The problem is reduced to a system of ordinary differential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80aeb392e7095d9708a0b8d3e8155620
https://doi.org/10.1016/j.mcm.2008.02.001
https://doi.org/10.1016/j.mcm.2008.02.001
Publikováno v:
PIERS Online. 4:401-404
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62d34b05303dcd245430e3d450fa5465
https://doi.org/10.2529/piers070906121125
https://doi.org/10.2529/piers070906121125
Autor:
Dirk K. Callebaut, Hiroshi Kikuchi
Publikováno v:
PIERS Online. 4:405-408
Chasmas are a generalization of plasmas, i.e., the condition of quasi-neutrality is dropped. That means that in chasmas the quasi-neutrality may be (strongly) violated over dis- tances many times the Debye length which requires special circumstances
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f18a562b9073b8d354db0fd8687c5815
https://doi.org/10.2529/piers070905125928
https://doi.org/10.2529/piers070905125928
Publikováno v:
Numerical algorithms
In this paper, a finite Chebyshev expansion is developed to solve Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results are given showing a marked improvement in comparison with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ece6990b90893103179c0f99df5d0fb6
https://doi.org/10.1007/s11075-007-9148-5
https://doi.org/10.1007/s11075-007-9148-5
Autor:
Dirk K. Callebaut
Publikováno v:
PIERS Online. 4:429-432
Chasmas are a generalization of plasmas, i.e., the condition of quasi-neutrality is dropped. In an accompagnying paper (13) the chasma equilibria were investigated and a shielding length for chasmas was introduced which generalizes the Debye length:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::015933c8b2fee274c8eb3b009b34b431
https://doi.org/10.2529/piers070906121250
https://doi.org/10.2529/piers070906121250
Publikováno v:
Numerical algorithms
In this paper, a finite Legendre expansion is developed to solve singularly perturbed integral equations, first order integro-differential equations of Volterra type arising in fluid dynamics and Volterra delay integro-differential equations. The err
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::587d4a4d29128e366a8f96a139ffb580
https://doi.org/10.1007/s11075-007-9130-2
https://doi.org/10.1007/s11075-007-9130-2