Continuous time collocation methods for Volterra-Fredholm integral equations
Numerische Mathematik, 1989 Second kind integral equations of mixed Volterra-Fredholm type \[ u(x,t)=g(x,t)+\lambda \int^{t}_{0}\int^{b}_{a}K(x,t,\xi,\tau)u(\xi,\tau)d\xi d\tau \] and their nonlinear counterparts arise in various physical and biological problems. We study existence and uniqueness of a solution, continuous time collocation, time discretization and their global and
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An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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Interpolation by hybrid Radial Basis Functions for solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
, 2022 Rebiha Zeghdane
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral. [PDF]
J Appl Math Comput, 2022 Moumen Bekkouche M +2 more
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On the Stability and Convergence of linear Volterra-Fredholm Integral Equations of the Second Kind
, 2018 openalex +1 more source
Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
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A new analytical method for solutions of nonlinear impulsive Volterra-Fredholm integral equations
, 2018 Haiyong Qin
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Utilization of Haar wavelet collocation technique for fractal-fractional order problem. [PDF]
Heliyon, 2023 Shah K, Amin R, Abdeljawad T.
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