dc.contributor.author |
Hafez, RM |
|
dc.contributor.author |
Bhrawy, Ali H |
|
dc.contributor.author |
Bhrawy, Ali H |
|
dc.contributor.author |
Doha, Eid H |
|
dc.date.accessioned |
2019-12-01T10:59:28Z |
|
dc.date.available |
2019-12-01T10:59:28Z |
|
dc.date.issued |
2017-04 |
|
dc.identifier.issn |
0168-9673 |
|
dc.identifier.other |
https://doi.org/10.1007/s10255-017-0660-7 |
|
dc.identifier.uri |
https://link.springer.com/article/10.1007/s10255-017-0660-7 |
|
dc.description |
Accession Number: WOS:000400856100005 |
en_US |
dc.description.abstract |
A new spectral Jacobi rational-Gauss collocation (JRC) method is proposed for solving the multi-pantograph delay differential equations on the half-line. The method is based on Jacobi rational functions and Gauss quadrature integration formula. The main idea for obtaining a semi-analytical solution for these equations is essentially developed by reducing the pantograph equations with their initial conditions to systems of algebraic equations in the unknown expansion coefficients. The convergence analysis of the method is analyzed. The method possesses the spectral accuracy. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. Indeed, the present method is compared favorably with other methods. |
en_US |
dc.description.sponsorship |
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
11021161
10928102
973 Program of ChinaNational Basic Research Program of China
2011CB80800
Chinese Academy of SciencesChinese Academy of Sciences
kjcx-yw-s7
Center for Research and Applications in Plasma Physics and Pulsed Power Technology
PBCT-Chile-ACT 26
Direccion de Programas de Investigacion, Universidad de Talca, Chile |
en_US |
dc.language.iso |
en_US |
en_US |
dc.publisher |
SPRINGER HEIDELBERG |
en_US |
dc.relation.ispartofseries |
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES;Volume: 33 Issue: 2 Pages: 297-310 |
|
dc.relation.uri |
https://cutt.ly/ge2XMFx |
|
dc.subject |
University for OPERATIONAL MATRIX |
en_US |
dc.subject |
PROPORTIONAL DELAYS |
en_US |
dc.subject |
PSEUDOSPECTRAL METHODS |
en_US |
dc.subject |
SEMIINFINITE INTERVAL |
en_US |
dc.subject |
CHEBYSHEV TAU-METHOD |
en_US |
dc.subject |
BOUNDARY-VALUE-PROBLEMS |
en_US |
dc.subject |
VARIATIONAL ITERATION METHOD |
en_US |
dc.subject |
INITIAL-VALUE PROBLEMS |
en_US |
dc.subject |
GAUSS COLLOCATION METHOD |
en_US |
dc.subject |
ORDINARY DIFFERENTIAL-EQUATIONS |
en_US |
dc.subject |
convergence analysis |
en_US |
dc.subject |
Jacobi rational functions |
en_US |
dc.subject |
Jacobi-Gauss quadrature |
en_US |
dc.subject |
collocation method |
en_US |
dc.subject |
delay equation |
en_US |
dc.subject |
multi-pantograph equation |
en_US |
dc.title |
Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis |
en_US |
dc.type |
Article |
en_US |
dc.identifier.doi |
https://doi.org/10.1007/s10255-017-0660-7 |
|
dc.Affiliation |
October University for modern sciences and Arts (MSA) |
|