TY - JOUR
T1 - On the sinc-Galerkin method for triharmonic boundary-value problems
AU - Abdrabou, Amgad
AU - El-Gamel, Mohamed
PY - 2018/8/1
Y1 - 2018/8/1
N2 - A numerical scheme is developed to provide an approximate solution to the triharmonic boundary value problem. Based on the sinc inner product approximations, a direct discretization of the triharmonic operator Δ3 reduces the problem to a generalized Sylvester equation. Numerical examples illustrate the pertinent features of the sinc-Galerkin method where very accurate results are obtained even when singularities occur at the boundaries.
AB - A numerical scheme is developed to provide an approximate solution to the triharmonic boundary value problem. Based on the sinc inner product approximations, a direct discretization of the triharmonic operator Δ3 reduces the problem to a generalized Sylvester equation. Numerical examples illustrate the pertinent features of the sinc-Galerkin method where very accurate results are obtained even when singularities occur at the boundaries.
KW - Triharmonic operator
KW - Sinc-Galerkin method
KW - Numerical solution
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85047065464&origin=recordpage
U2 - 10.1016/j.camwa.2018.04.034
DO - 10.1016/j.camwa.2018.04.034
M3 - 21_Publication in refereed journal
VL - 76
SP - 520
EP - 533
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 3
ER -