$A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative$

A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative

In this paper, we consider the nonlinear boundary value problems involving the Caputo fractional derivatives of order α∈ (1 , 2) on the interval (0, T). We present a Legendre spectral collocation method for the Caputo fractional boundary value problems. We derive the error bounds of the Legendre col...

Saved in:

書目詳細資料
Main Authors:	Wang, Chuanli, Wang, Zhongqing, Wang, Lilian
其他作者:	School of Physical and Mathematical Sciences
格式:	Article
語言:	English
出版:	2020
主題:	Science::Mathematics Spectral Collocation Method Caputo Fractional Derivative
在線閱讀:	https://hdl.handle.net/10356/139551
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	Nanyang Technological University
語言:	English

相似書籍

Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations
由: Li, Xuhao, et al.
出版: (2024)

High order approximation to new generalized Caputo fractional derivatives and its applications
由: Li, Xuhao, et al.
出版: (2018)

Generalized collocation methods : solutions to nonlinear problems
由: Lods, Bertrand, et al.
出版: (2017)

Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions
由: Huang, Can, et al.
出版: (2017)

ENERGY STABILITY OF NUMERICAL METHODS AND SHARP INTERFACE LIMITS FOR THE TIME-FRACTIONAL CAHN–HILLIARD EQUATION
由: WANG BOYI
出版: (2022)

Multipoint boundary value problems by differential quadrature method
由: Liu, G.R., et al.
出版: (2014)

Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
由: Gouari, Yazid, et al.
出版: (2021)

A collocation method for solving a class of singular nonlinear two-point boundary value problems
由: Qu, R., et al.
出版: (2014)

A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system
由: Faheem, Mo, et al.
出版: (2023)

Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives
由: Liu, Yuji, et al.
出版: (2020)

Development of a theoretical framework for vibration analysis of the class of problems described by fractional derivatives
由: Lin, Rongming, et al.
出版: (2020)

An iterative scheme for solving nonlinear two point boundary value problems
由: Qu, R., et al.
出版: (2014)

Static, free vibration, and buckling analyses of laminated composite plates via an isogeometric meshfree collocation approach
由: Huang, Jiazhao, et al.
出版: (2022)

On the spectral density of fractional Ornstein-Uhlenbeck Process: Approximation, Estimation, and Model Comparison
由: SHI, Shuping, et al.
出版: (2023)

A pseudospectral collocation approach for flood inundation modelling with random input fields
由: Qin, Xiao Sheng, et al.
出版: (2018)

Approximate solutions of general nonlinear boundary value problems using subdivision techniques
由: Qu, R.
出版: (2014)

Numerical solution of fractional evolution equations of Caputo type
由: Khor, Sze Chong
出版: (2024)

An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems
由: Nguyen‐Thanh, Nhon, et al.
出版: (2019)

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains
由: Zhang, Chao, et al.
出版: (2020)

Solving two point boundary value problems by interpolatory subdivision algorithms
由: Qu, R., et al.
出版: (2014)

Free vibration analysis of circular plates using generalized differential quadrature rule
由: Wu, T.Y., et al.
出版: (2014)

Simulation of an extruded quadrupolar dielectrophoretic trap using meshfree approach
由: Song, C.X., et al.
出版: (2014)

Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
由: Ding, Qinxu, et al.
出版: (2021)

Application of sonie-schafheitlin formula and sampling theorem in spectral-domain method
由: Ooi, B.-L., et al.
出版: (2014)

Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule
由: Wu, T.Y., et al.
出版: (2014)

A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments
由: Qu, R., et al.
出版: (2014)

Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations
由: Li, Xuhao, et al.
出版: (2022)

Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
由: Tang, Tao, et al.
出版: (2020)

Application of fractional calculus to modeling transient combustion of solid propellants
由: Kulish, Vladimir, et al.
出版: (2017)

Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations
由: Jessada Tariboon, et al.
出版: (2019)

Geotechnical probabilistic analysis by collocation-based stochastic response surface method: An Excel add-in implementation
由: Huang, S.P., et al.
出版: (2014)

A hybrid fast multipole pseudo-spectral time domain method
由: Ooi, B.L., et al.
出版: (2014)

Spectral element methods on hybrid triangular and quadrilateral meshes
由: Ma, Heping, et al.
出版: (2019)

Conjugate filters with spectral-like resolution for 2D incompressible flows
由: Gu, Y.Yun, et al.
出版: (2014)

A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
由: Liu, G.R., et al.
出版: (2014)

Corpus-Assisted Approach: The Effectiveness in Learning English Preposition Collocations of Undergraduate EFL Students and Their Learning Perceptions
由: Pimnada Khemkullanat
出版: (2024)

Differential quadrature solutions of eighth-order boundary-value differential equations
由: Liu, G.R., et al.
出版: (2014)

A higher order numerical scheme for generalized fractional diffusion equations
由: Ding, Qinxu, et al.
出版: (2022)

Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators
由: Sheng, Changtao, et al.
出版: (2022)

Constructing Biological Knowledge Base using Named Entities Recognition and Term Collocation
由: Supattanawaree Thipcharoen, et al.
出版: (2019)