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Improvement of a Sinc-collocation method for Fredholm integro-differential equations

AIP Conference Proceedings, 2015
A Sinc-collocation method for Fredholm integro-differential equations was developed by Rashidinia–Zarebnia. Their numerical experiments show that the method converges exponentially. However, in reality, the method does not converge uniformly over the given interval [a, b].
openaire   +1 more source

On the dynamical behavior of nonlinear Fitzhugh–Nagumo and Bateman–Burger equations in quantum model using Sinc collocation scheme

The European Physical Journal Plus, 2021
Iftikhar Ahmad   +5 more
semanticscholar   +1 more source

A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations

1989
Let Tα:C[0,a] →C[0,a] denote the linear Volterra operator defined by $${{\text{T}}^\alpha}{\text{f(x)= }}\int\limits_0^{\text{x}}{{{{\text{(x-t)}}}^{-\alpha}}}{\text{k(x,t) f(t)dt,0}}\leqslant{\text{x}}\leqslant{\text{a,}}$$ (1.1) where 0 < α < 1 and where k is a smooth function on the domain {(x,t): 0 ≤ t ≤ x ≤ a}.
openaire   +1 more source

Lagrange and Sinc Collocation Interpolation Methods

2007
Nicola Bellomo   +3 more
openaire   +1 more source

An efficient Sinc-collocation method via the DE transformation for eighth-order boundary value problems

Journal of Computational and Applied Mathematics, 2022
W. Qiu, Da Xu, Jun Zhou, Jing Guo
semanticscholar   +1 more source

Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

Advances in Applied Mathematics and Mechanics, 2022
Sheng-liang Kang   +4 more
semanticscholar   +1 more source

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