Advances in Chebyshev quadrature

1976 ◽  
pp. 100-121 ◽  
Author(s):  
Walter Gautschi
Keyword(s):  
Chebyshev Quadrature

Abscissas for Chebyshev Quadrature

1966 ◽  
Vol 20 (95) ◽  
pp. 463
Author(s):  
J. W. W. ◽  
Frank G. Lether
Keyword(s):  
Chebyshev Quadrature

Remark on Algorithm 279: Chebyshev quadrature

1966 ◽  
Vol 9 (6) ◽  
pp. 434
Author(s):  
F. R. A. Hopgood ◽  
C. Litherland
Keyword(s):  
Chebyshev Quadrature

A numerical approach for a crack problem by Gauss–Chebyshev quadrature

2013 ◽  
Vol 83 (11) ◽  
pp. 1535-1547 ◽  
Author(s):  
Elçin Yusufoğlu ◽  
İlkem Turhan
Keyword(s):  
Crack Problem ◽  
Numerical Approach ◽  
Chebyshev Quadrature

On Weight Functions Admitting Chebyshev Quadrature

1987 ◽  
Vol 49 (179) ◽  
pp. 251 ◽  
Author(s):  
Klaus-Jurgen Forster
Keyword(s):  
Weight Functions ◽  
Chebyshev Quadrature

The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement

2006 ◽  
Vol 172 (1) ◽  
pp. 210-221 ◽  
Author(s):  
M. Masjed-Jamei ◽  
S.M. Hashemiparast ◽  
M.R. Eslahchi ◽  
Mehdi Dehghan
Keyword(s):  
Quadrature Rules ◽  
Open Type ◽  
Chebyshev Quadrature

scholarly journals Existence, Uniqueness, and Approximation for Solutions of a Functional-integral Equation in Lp Spaces

2019 ◽  
Vol 20 (3) ◽  
pp. 403
Author(s):  
Suzete M Afonso ◽  
Juarez S Azevedo ◽  
Mariana P. G. Da Silva ◽  
Adson M Rocha
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Existence And Uniqueness ◽  
Functional Integral ◽  
Successive Approximation Method ◽  
Banach Fixed Point Theorem ◽  
Numerical Examples ◽  
Lp Spaces ◽  
Chebyshev Quadrature

In this work we consider the general functional-integral equation: \begin{equation*}y(t) = f\left(t, \int_{a}^{b} k(t,s)g(s,y(s))ds\right), \qquad t\in [a,b],\end{equation*}and give conditions that guarantee existence and uniqueness of solution in $L^p([a,b])$, with {$1<p<\infty$}.We use  Banach Fixed Point Theorem and employ the successive approximation method and Chebyshev quadrature for approximating the values of integrals. Finally, to illustrate the results of this work, we provide some numerical examples.

Sign in / Sign up

Export Citation Format

Share Document