Search Results - Shifted Chebyshev polynomial algorithm

An effective operational matrix method based on shifted sixth-kind Chebyshev polynomials for solving fractional integro-differential equations with a weakly singular kernel

Authors: Yaghoubi, Sara Aminikhah, Hossein Sadri, Khadijeh

Source: Filomat, 2024 Jan 01. 38(7), 2457-2486.

Access URL: https://www.jstor.org/stable/27387134

Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind.

Authors: Aourir, E. Laeli Dastjerdi, H.

Source: International Journal of Computer Mathematics. Feb2025, Vol. 102 Issue 2, p364-388. 25p.

Subject Terms: Nonlinear integral equations, Volterra equations, Chebyshev polynomials, Collocation methods, Chebyshev approximation

Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials.

Authors: Wang, Li-Ping Chen, Yi-Ming Liu, Da-Yan et al.

Source: International Journal of Computer Mathematics. Dec2019, Vol. 96 Issue 12, p2487-2510. 24p.

Subject Terms: *Algorithms, *Error correction (Information theory), Chebyshev polynomials, Equations, Orthogonal polynomials, Error analysis in mathematics, Catenary

Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam

Authors: Wang, Lei Chen, Yi-Ming Nanyang Technological University Singapour (NTU) et al.

Contributors: Wang, Lei Chen, Yi-Ming Nanyang Technological University Singapour (NTU) et al.

Source: ISSN: 0960-0779.

Subject Terms: Numerical solution, Operator matrix, Approximation technique, Shifted Chebyshev polynomials, Fractional governing equation, Fractional visco-elastic rotating beam, [MATH]Mathematics [math]

Availability: https://hal.science/hal-02884947
https://hal.science/hal-02884947v1/document
https://hal.science/hal-02884947v1/file/Shifted-Chebyshev-polynomial-based%20numerical%20algorithm%20for%20fractional%20order%20polymer%20visco-elastic%20rotating%20beam.pdf
https://doi.org/10.1016/j.chaos.2019.109585

Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems.

Authors: Rida SZ Arafa AAM Hussein HS et al.

Source: Scientific reports [Sci Rep] 2024 Apr 15; Vol. 14 (1), pp. 8683. Date of Electronic Publication: 2024 Apr 15.

Publication Type: Journal Article

Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE

A new method for designing multiplierless two-channel filterbank using shifted-Chebyshev polynomials.

Authors: Kumar, Anil Sharma, Ila

Source: International Journal of Electronics. Apr2019, Vol. 106 Issue 4, p537-552. 16p.

Subject Terms: *PROTOTYPES, ANALOG multipliers, CHEBYSHEV polynomials, FILTER banks, MEAN square algorithms

Solving and Numerical Simulations of Fractional-Order Governing Equation for Micro-Beams

Authors: Aimin Yang Qunwei Zhang Jingguo Qu et al.

Source: Fractal and Fractional, Vol 7, Iss 2, p 204 (2023)

Subject Terms: nonlinear-fractional order differential equations, shifted Chebyshev polynomial algorithm, viscoelastic micro-beams, operator matrix, numerical simulation, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

File Description: electronic resource

Relation: https://www.mdpi.com/2504-3110/7/2/204; https://doaj.org/toc/2504-3110

Access URL: https://doaj.org/article/777a1ca238d44bb9b8616729cfa5929f

Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations

Source: Computational and Applied Mathematics; 37; 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA)

File Description: Medium: X; Size: page(s) 2897-2921

Access URL: http://www.osti.gov/scitech/biblio/22769289

Solving system of linear Integro-differential equations by finite integration method with shifted Chebyshev polynomials

Authors: Juytai, Matinee

Source: Chulalongkorn University Theses and Dissertations (Chula ETD)

Subject Terms: Mathematics

File Description: application/pdf

Relation: https://digital.car.chula.ac.th/chulaetd/8389; https://digital.car.chula.ac.th/context/chulaetd/article/9388/viewcontent/6172042023.pdf

Availability: https://digital.car.chula.ac.th/chulaetd/8389
https://doi.org/10.58837/CHULA.THE.2019.13
https://digital.car.chula.ac.th/context/chulaetd/article/9388/viewcontent/6172042023.pdf

A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order

Authors: Samad Kheybari Farzaneh Alizadeh Mohammad Taghi Darvishi et al.

Source: Fractal and Fractional, Vol 8, Iss 7, p 425 (2024)

Subject Terms: shifted Chebyshev polynomial (SCP), Caputo derivative, variable-order fractional operator, collocation method, residual function, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

Relation: https://www.mdpi.com/2504-3110/8/7/425; https://doaj.org/toc/2504-3110; https://doaj.org/article/f6e545bccf1e43b289ca7215303920f1

Availability: https://doi.org/10.3390/fractalfract8070425
https://doaj.org/article/f6e545bccf1e43b289ca7215303920f1

A Numerical Study on a Model for HIV Infection of CD4⁺T-cells by Shifted Chebyshev Polynomials.

Authors: Ismaili, Shpend Fidanova, Stefka

Source: International Journal Bioautomation; 2019, Vol. 23 Issue 2, p163-174, 12p

Approximate analytical solution of fractional-order generalized integro-differential equations via fractional derivative of shifted Vieta-Lucas polynomial.

Authors: Issa, Kazeem Bello, Risikat A. Abubakar, Usman Jos

Source: Journal of Nigerian Society of Physical Sciences; Feb2024, Vol. 6 Issue 1, p1-7, 7p

Subject Terms: INTEGRO-differential equations, POLYNOMIALS, GALERKIN methods, NUMERICAL analysis, ALGEBRA

Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix.

Authors: Basim, M. Senu, N. Ahmadian, A. et al.

Source: Journal of Nigerian Society of Physical Sciences; May2023, Vol. 5 Issue 2, p1-11, 11p

Subject Terms: DIFFERENTIAL equations, ALGORITHMS, PROBLEM solving, ELECTRIC conductivity, ENERGY management

Fractional modelling and numerical simulations of variable-section viscoelastic arches.

Authors: Dang, Rongqi Chen, Yiming

Source: Applied Mathematics & Computation. Nov2021, Vol. 409, pN.PAG-N.PAG. 1p.

Subject Terms: *ARCHES, *CHEBYSHEV polynomials, *ALGORITHMS, *MATHEMATICAL errors, *INTEGRO-differential equations, *COMPUTER simulation

Highly Accurate Numerical Method for Solving Fractional Differential Equations with Purely Integral Conditions

Authors: Hany M. Ahmed

Source: Fractal and Fractional, Vol 9, Iss 7, p 407 (2025)

Subject Terms: Chebyshev polynomials, collocation method, boundary value problems, integral boundary conditions, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

File Description: electronic resource

Relation: https://www.mdpi.com/2504-3110/9/7/407; https://doaj.org/toc/2504-3110

Access URL: https://doaj.org/article/922c8ed9499940ccbd9d9099039dd9e8

On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems.

Authors: Doha, E. H. Abd-Elhameed, W. M. Alsuyuti, M. M.

Source: Journal of the Egyptian Mathematical Society. Jul2015, Vol. 23 Issue 2, p397-405. 9p.

Solving and Numerical Simulations of Fractional-Order Governing Equation for Micro-Beams.

Authors: Yang, Aimin Zhang, Qunwei Qu, Jingguo et al.

Source: Fractal & Fractional; Feb2023, Vol. 7 Issue 2, p204, 23p

Subject Terms: ALGEBRAIC equations, COMPUTER simulation, EQUATIONS, COLLOCATION methods, POTENTIAL energy

Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam

Authors: Wang, Lei Chen, Yi-Ming

Relation: http://www.sciencedirect.com/science/article/pii/S0960077919305429

Availability: http://www.sciencedirect.com/science/article/pii/S0960077919305429

A Rothe-Chebyshev collocation algorithm for the hyperbolic telegraphic type equations with variable coefficients.

Authors: Izadi, Mohammad Noeiaghdam, Samad Ahmed, H.M.

Source: Ain Shams Engineering Journal. Nov2025, Vol. 16 Issue 11, pN.PAG-N.PAG. 1p.

Enhanced fifth-kind Chebyshev polynomial Petrov–Galerkin algorithm for time-fractional Fokker–Planck equation.

Authors: Magdy, E. Atta, A. G. Moatimid, G. M. et al.

Source: International Journal of Modern Physics C: Computational Physics & Physical Computation; Dec2024, Vol. 35 Issue 12, p1-22, 22p

Subject Terms: CHEBYSHEV polynomials, ALGEBRAIC equations, LINEAR equations, BOUNDARY value problems, LINEAR systems