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Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]
PLoS One, 2023 A numerical approach based on shifted Jacobi-Gauss collocation method for solving mixed Volterra-Fredholm integral equations is introduced. The novel technique with shifted Jacobi-Gauss nodes is applied to reduce the mixed Volterra-Fredholm integral ...
Amin AZ +4 more
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A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation
Iranian Journal of Mathematical Sciences and Informatics, 2023 Summary: In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation.
Momenzade, N. +2 more
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Solving fuzzy volterra-fredholm integral equation by fuzzy artificial neural network
Mathematical Foundations of Computing, 2021 <p style='text-indent:20px;'>The volterra-fredholm integral equation in all forms are arose from physics, biology and engineering problems which is derived from differential equation modelling. On the other hand, the trained programming algorithm by the fuzzy artificial neural networks has effective solution to find the best answer.
Abtahi, Seiyed Hadi +2 more
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions [PDF]
HeliyonCurrently, there has been no research conducted on the impact of time on the structure of the overall nucleus, nor has there been any investigation into the influence of time delay on the three-dimensional integral equation, considering the temporal ...
Azhar Rashad Jan
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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.
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An approximate solution for a mixed linear Volterra–Fredholm integral equation
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhong, Jiang, Wei
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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
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Numerical Approximation of Stochastic Volterra-Fredholm Integral Equation using Walsh Function [PDF]
Communications in Mathematics and Applications, 2023 In this paper, a computational method is developed to find an approximate solution of the stochastic Volterra-Fredholm integral equation using the Walsh function approximation and its operational matrix.
P. Paikaray +2 more
semanticscholar +1 more source
Symmetry, 2023 Symmetry is presented in many works involving differential and integral equations. Whenever a human is involved in the design of an integral equation, they naturally tend to opt for symmetric features. The most common examples are the Green functions and
Hawsar HamaRashid +5 more
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Journal of Applied Analysis & Computation, 2023 In this paper, we studied the existence and unique solution of the Volterra-Fredholm integral equation of the second kind (V-FIESK). The general singular kernel is considered to be in position with the Fredholm integral term. Singular kernel will tend to
M. Abdel-Aty, M. Abdou
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