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A relaxed quasilinearized spectral method for nonlinear Volterra–Fredholm integral equations

open access: yesResults in Applied Mathematics
A relaxed quasilinearized spectral method is developed for nonlinear Volterra–Fredholm integral equations of the second kind. Chebyshev spectral collocation is combined with a selective linearization strategy in which the nonlinear Volterra contribution is treated implicitly, while the Fredholm contribution is evaluated explicitly.
openaire   +1 more source

On some Volterra-Fredholm integral equations

open access: yes, 2006
Existence, uniqueness and numerical results for some Volterra-Fredholm integral equations are given. To obtain existence and uniqueness Picard operators technique is applied. Numerical method based on collocation using modified q.i. splines is presented.
V. MURESAN   +2 more
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