Müntz sturm-liouville problems: Theory and numerical experiments-Reference-Cited by-同舟云学术

Müntz sturm-liouville problems: Theory and numerical experiments

Published:2021-06-01 Issue:3 Volume:24 Page:775-817
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Khosravian-Arab Hassan¹,Eslahchi Mohammad Reza²

Affiliation:

1. Department of Applied Mathematics and Computer Science , Faculty of Mathematics and Statistics University of Isfahan , 81746-73441 , Isfahan , Iran

2. Department of Applied Mathematics , Faculty of Mathematical Sciences Tarbiat Modares University , P.O. Box 14115-134 , Tehran , Iran

Abstract

Abstract This paper presents two new classes of Müntz functions which are called Jacobi-Müntz functions of the first and second types. These newly generated functions satisfy in two self-adjoint fractional Sturm-Liouville problems and thus they have some spectral properties such as: orthogonality, completeness, three-term recurrence relations and so on. With respect to these functions two new orthogonal projections and their error bounds are derived. Also, two new Müntz type quadrature rules are introduced. As two applications of these basis functions some fractional ordinary and partial differential equations are considered and numerical results are given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2021-0034/pdf

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