Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112908 ◽

2020 ◽

Vol 377 ◽

pp. 112908 ◽

Cited By ~ 10

Author(s):

A. Babaei ◽

H. Jafari ◽

S. Banihashemi

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Variable Order ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation

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The fractional Chebyshev collocation method for the numerical solution of fractional differential equations with Riemann-Liouville derivatives

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8814991 ◽

2019 ◽

Author(s):

Arman Dabiri ◽

Laya Karimi

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Fractional Differential Equations ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Fractional Differential

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On numerical solution of fractional order delay differential equation using Chebyshev collocation method

New Trends in Mathematical Science ◽

10.20852/ntmsci.2017.240 ◽

2017 ◽

Vol 1 (6) ◽

pp. 8-17

Author(s):

Ajmal Ali ◽

Norhashidah Hj Mohd Ali

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Fractional Order ◽

Delay Differential Equation ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Delay Differential

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A multiple-endpoints Chebyshev collocation method for high order differential equations

Recent Advances in Scientific Computing and Applications - Contemporary Mathematics ◽

10.1090/conm/586/11610 ◽

2013 ◽

pp. 365-373

Author(s):

Shan Wang ◽

Zhiping Li

Keyword(s):

Differential Equations ◽

Collocation Method ◽

High Order ◽

Chebyshev Collocation Method ◽

Multiple Endpoints ◽

Chebyshev Collocation

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An hp-version Chebyshev collocation method for nonlinear fractional differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.08.003 ◽

2020 ◽

Vol 158 ◽

pp. 194-211

Author(s):

Yuling Guo ◽

Zhongqing Wang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fractional Differential Equations ◽

Chebyshev Collocation Method ◽

Nonlinear Fractional Differential Equations ◽

Chebyshev Collocation ◽

Fractional Differential

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Modified Chebyshev collocation method for pantograph-type differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.08.002 ◽

2018 ◽

Vol 134 ◽

pp. 132-144 ◽

Cited By ~ 10

Author(s):

Changqing Yang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation

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Chebyshev Collocation Method for Solving Linear Differential Equations

Mathematical and Computational Applications ◽

10.3390/mca9010107 ◽

2004 ◽

Vol 9 (1) ◽

pp. 107-115 ◽

Cited By ~ 5

Author(s):

İhsan Dolapçi

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Linear Differential Equations ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Linear Differential

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A numerical solution of Falkner-Skan equation via a shifted Chebyshev collocation method

10.1063/1.4902298 ◽

2014 ◽

Cited By ~ 1

Author(s):

M. T. Kajani ◽

M. Maleki ◽

M. Allame

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation

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A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999361505 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1425-1438 ◽

Cited By ~ 62

Author(s):

Heping Ma ◽

Weiwei Sun

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Chebyshev Collocation Method ◽

Third Order ◽

Chebyshev Collocation

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Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125903 ◽

2021 ◽

Vol 397 ◽

pp. 125903

Author(s):

Fajie Wang ◽

Qinghai Zhao ◽

Zengtao Chen ◽

Chia-Ming Fan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Chebyshev Collocation Method ◽

Partial Differential ◽

Chebyshev Collocation

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Numerical Study for the Fractional Differential Equations Generated by Optimization Problem Using Chebyshev Collocation Method and FDM

Applied Mathematics & Information Sciences ◽

10.12785/amis/070541 ◽

2013 ◽

Vol 7 (5) ◽

pp. 2011-2018 ◽

Cited By ~ 31

Author(s):

M. M. Khader ◽

N. H. Sweilam ◽

A. M. S. Mahdy

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fractional Differential Equations ◽

Optimization Problem ◽

Numerical Study ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Fractional Differential

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