Results 71 to 80 of about 250 (173)
, 2020 In this paper, a collocation method based on the Bessel polynomials is used for the solution of nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs). This method transforms the nonlinear (FVHIEs) into matrix equations with the help of Bessel polynomials of the first kind and collocation points. The matrix equations correspond to a system
Ordokhani, Yadollah, Dehestani, Haniye
openaire +1 more source
Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
مجلة بغداد للعلوم, 2019 In this paper, we focus on designing feed forward neural network (FFNN) for solving Mixed Volterra – Fredholm Integral Equations (MVFIEs) of second kind in 2–dimensions.
Al-Saif et al.
doaj +1 more source
Existence of solutions for mixed Volterra-Fredholm integral equations
Electronic Journal of Differential Equations, 2012 In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani +2 more
doaj
An accelerated iterative technique for solving mixed Fredholm-Volterra integral equations
Ain Shams Engineering JournalIn this paper, we propose an accelerated numerical technique for solving mixed Fredholm-Volterra integral equations (MFVIEs). The MFVIE is solved using the two-grid iterative technique, which uses a small system of equations to reach higher accuracy. The convergence analysis showed that using this technique reduces computational costs by 85% compared ...
A.G. Attia +3 more
openaire +2 more sources
Journal of King Saud University - Science, 2010 AbstractThe Fredholm–Volterra integral equation of the second kind with continuous kernels with respect to position and time, is solved numerically, using the Collocation and Galerkin methods. Also the error, in each case, is estimated.
Hendi, F.A., Albugami, A.M.
openaire +1 more source
Simple Two-Sided Convergence Method for a Special Boundary Value Problem with Retarded Argument
AxiomsThis study utilizes approximation techniques to address a boundary value problem involving a differential equation with a delayed argument. The problem is approached through analytical techniques by transforming it firstly into an equivalent integral ...
Arzu Aykut +2 more
doaj +1 more source
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
Beni-Suef University Journal of Basic and Applied Sciences, 2014 AbstractIn this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations. The existence and uniqueness of the solution and error analysis of proposed method are discussed. The method
Farshid Mirzaee, Seyede Fatemeh Hoseini
openaire +2 more sources
Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine. [PDF]
Front Comput Neurosci, 2023 Lu Y, Zhang S, Weng F, Sun H.
europepmc +1 more source
Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
Computational and Mathematical MethodsThis work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj +1 more source