M\"untz Pseudo Spectral Method: Theory and Numerical Experiments
Numerical Analysis
2019-08-23 v2 Numerical Analysis
Abstract
This paper presents two new non-classical Lagrange basis functions which are based on the new Jacobi-M\"untz functions presented by the authors recently. These basis functions are, in fact, generalizations form 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.
Cite
@article{arxiv.1908.02306,
title = {M\"untz Pseudo Spectral Method: Theory and Numerical Experiments},
author = {Hassan Khosravian-Arab and Mohammad Reza Eslahchi},
journal= {arXiv preprint arXiv:1908.02306},
year = {2019}
}