Results 11 to 20 of about 44,249 (258)
Mathematics, 2022 Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed +2 more
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Numerical solution of some class of integro-differential equations by using legendre-bernstein basis [PDF]
Journal of Hyperstructures, 2014 In this article, a numerical method is developed to solve the linear integro-differential equations. To this end, it will be divided in two forms, Fredholm integro-differential equations (FIDE) and Volterra integro-differential equations (VIDE). So that,
sasan Fathi, F. Mirzaee
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Neural Integro-Differential Equations
Proceedings of the AAAI Conference on Artificial Intelligence, 2023 Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are modeled with Integro-Differential Equations (IDEs); generalizations of differential equations that comprise both an
Zappala, Emanuele +6 more
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A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances in Mathematical Physics, 2022 In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
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Computation, 2021 The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta +2 more
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2012 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Buchberger, Bruno +3 more
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On Solvability of Integro-Differential Equations [PDF]
Potential Analysis, 2020 AbstractA class of (possibly) degenerate integro-differential equations of parabolic type is considered, which includes the Kolmogorov equations for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces and in Sobolev-Slobodeckij spaces.
Marta De León-Contreras +2 more
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Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations
Tikrit Journal of Pure Science, 2021 The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to ...
Mohammed Khalid Shahoodh
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Numerical ansatz for solving integro-differential equations with increasingly smooth memory kernels: spin-boson model and beyond [PDF]
, 2007 We present an efficient and stable numerical ansatz for solving a class of integro-differential equations. We define the class as integro-differential equations with increasingly smooth memory kernels.
Zwolak, Michael
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