Name
Abstract | ||
|---|---|---|
This paper presents two new non-classical Lagrange basis functions which are based on the new Jacobi-Muntz functions presented by the authors recently. These basis functions are, in fact, generalized forms of the newly generated Jacobi-based functions. With respect to these non-classical Lagrange basis functions, two non-classical interpolants are introduced and their error bounds are proved in detail. The pseudo-spectral differentiation (and integration) matrices have been extracted in two different manners. Some numerical experiments are provided to show the efficiency and capability of these newly generated non-classical Lagrange basis functions. (C) 2020 Elsevier B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.cnsns.2020.105510 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
Keywords | DocType | Volume |
Erdelyi-Kober fractional derivatives and integrals, Muntz functions, Jacobi-Muntz functions, Lagrange Muntz basis functions, Mapped-Jacobi interpolants, Jacobi-Muntz interpolants, Muntz pseudo-spectral method, Non-classical interpolants, Orthogonal projections, Error bounds, Muntz quadrature rules, Fractional ordinary and partial differential equations | Journal | 93 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hassan Khosravian-Arab | 1 | 0 | 0.34 |
| M. R. Eslahchi | 2 | 88 | 13.65 |