Results 11 to 20 of about 17,709,774 (182)

Solving Robbin's problem [PDF]

open access: yes, 1972
In this report the numerical integration of ellipticpartial differential equations under Robbin's boundaryconditions is attempted by means of the Extrapolatedform of the Alternating Direction Implicit methods.A set of varying extrapolation parameters is ...
Lordanidis, KI
core   +7 more sources

The Mixed Boundary Value Problems and Chebyshev Collocation Method for Caputo-Type Fractional Ordinary Differential Equations

open access: yesFractal and Fractional, 2022
The boundary value problem (BVP) for the varying coefficient linear Caputo-type fractional differential equation subject to the mixed boundary conditions on the interval 0≤x≤1 was considered.
Jun-Sheng Duan, Li-Xia Jing, Ming Li
doaj   +1 more source

Interval Uncertainty Quantification for the Dynamics of Multibody Systems Combing Bivariate Chebyshev Polynomials with Local Mean Decomposition

open access: yesMathematics, 2022
Interval quantification for multibody systems can provide an accurate dynamic prediction and a robust reliability design. In order to achieve a robust numerical model, multiple interval uncertain parameters should be considered in the uncertainty ...
Xin Jiang, Zhengfeng Bai
doaj   +1 more source

On the real linear polarization constant problem [PDF]

open access: yes, 2006
The present paper deals with lower bounds for the norm of products of linear forms. It has been proved by J. Arias-de-Reyna [2], that the so-called n(th) linear polarization constant c(n)(C-n) is n(n/2), for arbitrary n is an element of N. The same value
Matolcsi, Máté   +3 more
core   +2 more sources

A Numerical Scheme Based on the Chebyshev Functions to Find Approximate Solutions of the Coupled Nonlinear Sine-Gordon Equations with Fractional Variable Orders

open access: yesAbstract and Applied Analysis, 2021
In this article, a numerical method based on the shifted Chebyshev functions for the numerical approximation of the coupled nonlinear variable-order fractional sine-Gordon equations is shown.
MohammadHossein Derakhshan
doaj   +1 more source

Solving Special Case of Inverse Sturm-Liouville Problem with Aftereffect by using Chebyshev Polynomials

open access: yesپژوهش‌های ریاضی, 2021
Introduction In this study, we consider the differential equation with aftereffect under the separated boundary conditions on a finite interval. In fact, we consider the Sturm-Liouville operator disorganized by a Volterra integral operator. We obtain the
Shahrbanoo Akbarpoor   +2 more
doaj  

The Chebyshev points of the first kind [PDF]

open access: yes, 2016
In the last thirty years, the Chebyshev points of the first kind have not been given as much attention for numerical applications as the second-kind ones.
Xu, Kuan
core   +1 more source

Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2019
‎‎ It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
doaj   +1 more source

Chebyshev approximation by first degree rationals on 2-space [PDF]

open access: yes, 1976
The uniqueness problem for Chebyshev approximation on compact subsets of 2-space by the family of ratios of constants to first degree polynomials is ...
Dunham, C.B
core   +1 more source

Chebyshev polynomial method to Landauer–Büttiker formula of quantum transport in nanostructures

open access: yesAIP Advances, 2020
The Landauer–Büttiker formula describes the electronic quantum transport in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.
Yan Yu   +6 more
doaj   +1 more source

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