A Pseudo-Spectral Scheme for Systems of Two-Point Boundary Value Problems with Left and Right Sided Fractional Derivatives and Related Integral Equations

作     者：I.G.Ameen N.A.Elkot M.A.Zaky A.S.Hendy E.H.Doha 

作者机构：Department of MathematicsFaculty of ScienceAl-Azhar UniversityCairoEgypt Department of MathematicsFaculty of ScienceCairo UniversityGiza12613Egypt Department of Applied MathematicsPhysics DivisionNational Research CentreDokkiCairo12622Egypt Department of Computational Mathematics and Computer ScienceInstitute of Natural Sciences and MathematicsUral Federal UniversityYekaterinburg620002Russia Department of MathematicsFaculty of ScienceBenha UniversityBenha13511Egypt 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2021年第128卷第7期

页      面：21-41页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：The Russian Foundation for Basic Research(RFBR)Grant No.19-01-00019 

主　　题：Spectral collocation method weakly singular integral equations two-point boundary value problems convergence analysis 

摘      要：We target here to solve numerically a class of nonlinear fractional two-point boundary value problems involving left-and right-sided fractional *** main ingredient of the proposed method is to recast the problem into an equivalent system of weakly singular integral ***,a Legendre-based spectral collocation method is developed for solving the transformed ***,we can make good use of the advantages of the Gauss quadrature *** present the construction and analysis of the collocation *** results can be indirectly applied to solve fractional optimal control problems by considering the corresponding Euler–Lagrange *** numerical examples are given to confirm the convergence analysis and robustness of the scheme.