Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs). By this approximation method, the fractional IDE has been transformed into a linear algebraic equations system...

Deskribapen osoa

Xehetasun bibliografikoak
Egile nagusia:	Dilek Varol
Formatua:	Artikulua
Hizkuntza:	English
Argitaratua:	Naim Çağman 2023-06-01
Saila:	Journal of New Theory
Gaiak:	conformable fractional derivative chebyshev polynomials numerical solutions
Sarrera elektronikoa:	https://dergipark.org.tr/en/download/article-file/2992417

Antzeko izenburuak

Laguerre Collocation Approach of Caputo Fractional Fredholm-Volterra Integro-Differential Equations
nork: Dilek Varol, et al.
Argitaratua: (2024-03-01)

Numerical Solution of System of Linear Fractional Integro-differential Equations by Least Squares Collocation Chebyshev Technique
nork: O Taiye, et al.
Argitaratua: (2022-05-01)

Numerical solutions to systems of fractional Voltera Integro differential equations, using Chebyshev wavelet method
nork: Hassan Khan, et al.
Argitaratua: (2018-09-01)

The Mixed Boundary Value Problems and Chebyshev Collocation Method for Caputo-Type Fractional Ordinary Differential Equations
nork: Jun-Sheng Duan, et al.
Argitaratua: (2022-03-01)

Chebyshev operational matrix for solving fractional order delay-differential equations using spectral collocation method
nork: Khalid K. Ali, et al.
Argitaratua: (2019-01-01)

An Efficient Computational Method for the Time-Space Fractional Klein-Gordon Equation
nork: Harendra Singh, et al.
Argitaratua: (2020-09-01)

The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
nork: Manuel De La Sen, et al.
Argitaratua: (2017-03-01)

Fourth-kind Chebyshev Computational Approach for Integro-Differential Equations
nork: Didigwu Ndidiamaka Edith, et al.
Argitaratua: (2024-03-01)

A numerical approach based on the Chebyshev polynomials for tempered time fractional coupled Burger’s equations
nork: M.H. Heydari, et al.
Argitaratua: (2024-10-01)

An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method
nork: Baghdad Science Journal
Argitaratua: (2018-09-01)

Chebyshev polynomials in numerical analysis
nork: Fox, L. (Leslie), et al.

Numerical Solutions for Systems of Fractional and Classical Integro-Differential Equations via Finite Integration Method Based on Shifted Chebyshev Polynomials
nork: Ampol Duangpan, et al.
Argitaratua: (2021-08-01)

Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2023-08-01)

Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems
nork: Saad. Z. Rida, et al.
Argitaratua: (2024-04-01)

Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation
nork: Adnan K. Farhood, et al.
Argitaratua: (2023-12-01)

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
nork: Khalid K. Ali, et al.
Argitaratua: (2020-09-01)

Numerical solution of fractional diffusion equation by Chebyshev collocation method and residual power series method
nork: Mine Aylin Bayrak, et al.
Argitaratua: (2020-12-01)

Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
nork: Jianhua Hou, et al.
Argitaratua: (2017-11-01)

Solving a System of Fractional-Order Volterra-Fredholm Integro-Differential Equations with Weakly Singular Kernels via the Second Chebyshev Wavelets Method
nork: Esmail Bargamadi, et al.
Argitaratua: (2021-07-01)

Numerical approximation of the Cauchy non-homogeneous time-fractional diffusion-wave equation with Caputo derivative using shifted Chebyshev polynomials
nork: Mir Sajjad Hashemi, et al.
Argitaratua: (2023-10-01)

The spectral collocation method for solving a fractional integro-differential equation
nork: Chuanhua Wu, et al.
Argitaratua: (2022-03-01)

Numerical Solution using Chebyshev Expansion of the Higher-Orders Linear Fredholm Integro-Differential-Difference Equations with Variable Coefficients
nork: Babolian, et al.
Argitaratua: (2020-12-01)

Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2023-01-01)

A novel approach for solving weakly singular fractional integro-differential equations
nork: Ali Jalal Ali, et al.
Argitaratua: (2024-12-01)

Chebyshev polynomials [filem]
Argitaratua: (1971)

Chebyshev polynomials [kesetvideo]
Argitaratua: (1971)

The Chebyshev polynomials
nork: 354595 Rivlin, Theodore J.
Argitaratua: (1974)

Chebyshev polynomials /
nork: 364704 Mason, J. C., et al.
Argitaratua: (2003)

Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
nork: Doaa Shokry Mohamed, et al.
Argitaratua: (2017-07-01)

A collocation approach for multiterm variable-order fractional delay-differential equations using shifted Chebyshev polynomials
nork: Khalid K. Ali, et al.
Argitaratua: (2022-05-01)

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials
nork: O.V. Germider, et al.
Argitaratua: (2024-12-01)

A Chebyshev Collocation Approach to Solve Fractional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Nonlocal Condition
nork: Dapeng Zhou, et al.
Argitaratua: (2022-03-01)

Numerical estimation of the fractional Klein-Gordon equation with Discrete Chebyshev Polynomials
nork: Mohammad Partohaghighi, et al.
Argitaratua: (2024-03-01)

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
nork: Mohamed Nasseh Nadir, et al.
Argitaratua: (2024-02-01)

The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations
nork: Bogdan Căruntu, et al.
Argitaratua: (2021-09-01)

Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method
nork: Nasrin Moshtaghi, et al.
Argitaratua: (2021-10-01)

Legendre spectral collocation method for solving nonlinear fractional Fredholm integro-differential equations with convergence analysis
nork: A. H. Tedjani, et al.
Argitaratua: (2024-02-01)

Numerical treatment of linear Volterra integro differential equations using variational iteration algorithm with collocation
nork: Ikechukwu Jackson Otaide, et al.
Argitaratua: (2024-06-01)

Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals
nork: Asifa Tassaddiq, et al.
Argitaratua: (2020-02-01)

Orthogonality Properties of the Pseudo-Chebyshev Functions (Variations on a Chebyshev’s Theme)
nork: Clemente Cesarano, et al.
Argitaratua: (2019-02-01)