The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

Author:

Parand Kourosh,Delkhosh Mehdi

Abstract

AbstractA new collocation method, namely the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) collocation method, is given for solving some nonlinear boundary value problems in the semi-infinite domain, such as equations of the unsteady isothermal flow of a gas, the third grade fluid, the Blasius, and the field equation determining the vortex profile. The method reduces the solution of the problem to the solution of a nonlinear system of algebraic equations. To illustrate the reliability of the method, the numerical results of the present method are compared with several numerical results.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modelling and Simulation,General Chemical Engineering

Reference43 articles.

1. The modified decomposition method and Pade approximants for a boundary layer equation in unbounded domain;Appl. Math. Comput,2006

2. A new reliable numerical algorithm based on the first kind of Bessel functions to solve Prandtl-Blasius laminar viscous flow over a semi-infinite flat plate;Z. Naturforsch. A,2012

3. Rational approximation to the solutions of two-point boundary value problems;Acta Poly,2011

4. Rational and Exponential Legendre Tau Method on Steady Flow of a Third Grade Fluid in a Porous Half Space;Int. J. Appl. Comput. Math,2015

5. Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions;J. Comput. Appl. Math,2017

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3