Results 21 to 30 of about 16,775 (210)

Applicability of spline collocation to cordial volterra equations

open access: yesMathematical Modelling and Analysis, 2013
We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
doaj   +1 more source

Spectral collocation methods [PDF]

open access: yesApplied Numerical Mathematics, 1989
This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y.   +2 more
openaire   +2 more sources

Solution of a system of delay differential equations of multi pantograph type

open access: yesJournal of Taibah University for Science, 2017
A collocation method is proposed to obtain an approximate solution of a system of multi pantograph type delay differential equations with variable coefficients subject to the initial conditions.
Sara Davaeifar, Jalil Rashidinia
doaj   +1 more source

The Effect of Using Input Enhancement Technique on Collocation ‎Learning of Iraqi EFL Students

open access: yesالأستاذ, 2022
Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money.
م.د نغم جعفر مجيد
doaj   +1 more source

A Collocation-Based Multi-Configuration Time-Dependent Hartree Method Using Mode Combination and Improved Relaxation

open access: yes, 2020
Although very useful, the original multi-configuration time-dependent Hartree (MCTDH) method has two weaknesses: (1) its cost scales exponentially with the number of atoms in the system; (2) the standard MCTDH implementation requires that the PES be in ...
Robert, Wodraszka, Tucker, Carrington
core   +1 more source

A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains [PDF]

open access: yes, 2007
[Abstract]: This paper reports a new Cartesian-grid collocation method based on radial-basis-function networks (RBFNs) for numerically solving elliptic partial differential equations (PDEs) in irregular domains.
Mai-Duy, Nam, Tran-Cong, Thanh
core   +1 more source

Computing vibrational spectra using a new collocation method with a pruned basis and more points than basis functions: avoiding quadrature

open access: yes, 2023
We present a new collocation method for computing the vibrational spectrum of a polyatomic molecule. Some form of quadrature or collocation is necessary when the potential energy surface does not have a simple form that simplifies the calculation of the ...
Tucker, CARRINGTON, Jesse , Simmons
core   +1 more source

An effective spectral collocation method for the direct solution of high‐order ODEs [PDF]

open access: yes, 2006
This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This
Mai-Duy, Nam, N. Mai‐Duy
core   +1 more source

Modified Chebyshev Collocation Method for Solving Differential Equations

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2015
This paper presents derivation of alternative numerical scheme for solving differential equations, which is modified Chebyshev (Vieta-Lucas Polynomial) collocation differentiation matrices.
M Ziaul Arif   +2 more
doaj   +1 more source

A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs [PDF]

open access: yes, 2007
Purpose -- To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach -- The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial ...
Mai-Duy, N., Tanner, R. I.
core   +1 more source

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