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Efthimios Providas and Ioannis Nestorios Parasidis
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate me...
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Sarat Chandra Mohapatra and C. Guedes Soares
A hydroelastic model associated with the interaction between a surface wave and a floating circular structure connected with mooring lines in finite water depth is developed using BIEM. The BIEM solution is achieved using free surface Green?s function an...
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Rüdiger Frey and Verena Köck
In this paper we study deep neural network algorithms for solving linear and semilinear parabolic partial integro-differential equations with boundary conditions in high dimension. Our method can be considered as an extension of the deep splitting method...
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Carine Jauberthie and Nathalie Verdière
A numerical parameter estimation method, based on input-output integro-differential polynomials in a bounded-error framework is investigated in this paper. More precisely, the measurement noise and parameters belong to connected sets (in the proposed wor...
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Eman Abuteen
Pág. 147 - 151
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Efthimios Providas
Recent developments have shown that the widely used simplified differential model of Eringen?s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two-pha...
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Azam Ahadi, Zahra Eidinejad, Reza Saadati and Donal O?Regan
We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular-stability.
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Efthimios Providas and Ioannis Nestorios Parasidis
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions. We use the th...
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Gujji Murali Mohan Reddy, Alan B. Seitenfuss, Débora de Oliveira Medeiros, Luca Meacci, Milton Assunção and Michael Vynnycky
Although two-dimensional (2D) parabolic integro-differential equations (PIDEs) arise in many physical contexts, there is no generally available software that is able to solve them numerically. To remedy this situation, in this article, we provide a compa...
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Amer Darweesh, Marwan Alquran and Khawla Aghzawi
In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This modification has ...
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