$Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem$

Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem

This work introduces a computational method for solving the time-fractional cable equation (TFCE). We utilize the tau method for the numerical treatment of the TFCE, using generalized Chebyshev polynomials of the third kind (GCPs3) as basis functions. The integer and fractional derivatives of the GC...

Deskribapen osoa

Xehetasun bibliografikoak
Egile Nagusiak:	Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahman Khalid Al-Harbi, Mohammed H. Alharbi, Ahmed Gamal Atta
Formatua:	Artikulua
Hizkuntza:	English
Argitaratua:	AIMS Press 2024-11-01
Saila:	Electronic Research Archive
Gaiak:	chebyshev polynomials jacobi polynomials spectral methods matrix system convergence analysis
Sarrera elektronikoa:	https://www.aimspress.com/article/doi/10.3934/era.2024288

Antzeko izenburuak

A collocation procedure for the numerical treatment of FitzHugh–Nagumo equation using a kind of Chebyshev polynomials
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2025-01-01)

Numerical treatment of the fractional Rayleigh-Stokes problem using some orthogonal combinations of Chebyshev polynomials
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2024-08-01)

Spectral Treatment of High-Order Emden–Fowler Equations Based on Modified Chebyshev Polynomials
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2023-01-01)

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)

Modal Shifted Fifth-Kind Chebyshev Tau Integral Approach for Solving Heat Conduction Equation
nork: Ahmed Gamal Atta, et al.
Argitaratua: (2022-10-01)

Spectral solutions for the time-fractional heat differential equation through a novel unified sequence of Chebyshev polynomials
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2024-01-01)

The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials
nork: Ikhsan Maulidi, et al.
Argitaratua: (2021-10-01)

A Fast Galerkin Approach for Solving the Fractional Rayleigh–Stokes Problem via Sixth-Kind Chebyshev Polynomials
nork: Ahmed Gamal Atta, et al.
Argitaratua: (2022-05-01)

Novel Formulae of Certain Generalized Jacobi Polynomials
nork: Waleed Mohamed Abd-Elhameed
Argitaratua: (2022-11-01)

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

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

A New Generalized Chebyshev Matrix Algorithm for Solving Second-Order and Telegraph Partial Differential Equations
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2024-12-01)

Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds
nork: Taekyun Kim, et al.
Argitaratua: (2019-03-01)

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)

Chebyshev polynomials [filem]
Argitaratua: (1971)

Chebyshev polynomials [kesetvideo]
Argitaratua: (1971)

Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation
nork: Waleed Mohamed Abd-Elhameed
Argitaratua: (2021-06-01)

Adomian Decomposition Method with Orthogonal Polynomials: Laguerre Polynomials and the Second Kind of Chebyshev Polynomials
nork: Yingying Xie, et al.
Argitaratua: (2021-07-01)

Numerical modeling of the boundary value problem of an ordinary differential equation with a small parameter at the highest derivative by Chebyshev polynomials of the second kind
nork: Chori Begaliyevich Normurodov, et al.
Argitaratua: (2023-08-01)

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials
nork: Taekyun Kim, et al.
Argitaratua: (2018-11-01)

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

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
nork: Taekyun Kim, et al.
Argitaratua: (2018-06-01)

Chebyshev polynomials: from approximation theory to algebra and number theory/
nork: 354595 Rivlin, Theodore J.
Argitaratua: (1990)

The modular algorithm for computing the greatest common divisor of Chebyshev basis polynomials /
nork: Siti Nor Asiah Isa, 1990-, et al.
Argitaratua: (2013)

Chebyshev fitting way and error analysis for propeller atlas across four quadrants /
nork: 580256 Dian-Pu, Li author, et al.
Argitaratua: (2002)

Numerical Solution of Optimal Control Problems Using New Third Kind Chebyshev Wavelets Operational Matrix of Integration
nork: Asmaa Abdullah Abdurrahman
Argitaratua: (2014-01-01)

Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind /
nork: Siti Aminah Mohamad Sapawi, 1990-
Argitaratua: (2014)

Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind /
nork: Siti Aminah Mohamad Sapawi, 1990- author, et al.
Argitaratua: (2014)

New Approaches to the General Linearization Problem of Jacobi Polynomials Based on Moments and Connection Formulas
nork: Waleed Mohamed Abd-Elhameed, et al.
Argitaratua: (2021-07-01)

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)

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials
nork: Taekyun Kim, et al.
Argitaratua: (2019-04-01)

Some results for sums of products of Chebyshev and Legendre polynomials
nork: Yuan He
Argitaratua: (2019-08-01)

A NEW CHARACTERIZATION OF 𝑞-CHEBYSHEV POLYNOMIALS OF THE SECOND KIND
nork: S. Jbeli
Argitaratua: (2024-06-01)

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

Exponentially Fitted Chebyshev Based Algorithm as Second Order Initial Value Solver
nork: Emmanuel Adeyefa, et al.
Argitaratua: (2020-03-01)

Convolutions involving Chebyshev polynomials
nork: Zhiling Fan, et al.
Argitaratua: (2022-05-01)

Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations
nork: S. M. Sayed, et al.
Argitaratua: (2025-01-01)

Chebyshev polynomials and their some interesting applications
nork: Chen Li, et al.
Argitaratua: (2017-09-01)

Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind
nork: Abedallah Rababah, et al.
Argitaratua: (2019-01-01)

Chebyshev Polynomials and Spectral Method for Optimal Control Problem
nork: Suha Najeeb Shihab, et al.
Argitaratua: (2009-10-01)