Results 171 to 180 of about 113,253 (227)

One relationship between Volterra integro-differential and ordinary differential equations

open access: closedCENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST), 2019
There are some wide classes of the numerical methods to solving ODE. Therefore the specialists tried to apply these methods to solving of the Volterra integral and integro-differential equations.
Galina Mehdiyeva   +2 more
openalex   +2 more sources

Learning nonlinear integral operators via Recurrent Neural Networks and its application in solving Integro-Differential Equations

arXiv.org, 2023
In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs).
Hardeep Bassi   +6 more
semanticscholar   +1 more source

Ruin probabilities with investments: smoothness, inegro-differential and ordinary differential equations, asymptotic behavior

Journal of Applied Probability, 2022
This study deals with the ruin problem when an insurance company having two business branches, life insurance and non-life insurance, invests its reserves in a risky asset with the price dynamics given by a geometric Brownian motion. We prove a result on
Y. Kabanov, Nikita Pukhlyakov
semanticscholar   +1 more source

Numerical Methods for a Class of Weakly Singular Integro-differential Equations With Nonlinear Variable Time States

International Conference on Systems and Informatics
This paper introduces full-discretized numerical methods for solving a class of integro-differential equations involving weakly singular kernels (Abel-type) and nonlinear variable time states.
Shihchung Chiang
semanticscholar   +1 more source

Utilizing quadratic B-spline functions to solve nonlinear systems of Volterra integro-fractional differential equations with variable coefficients

Physica Scripta
The primary objective of this article is to develop new methods based on quadratic B-spline functions to numerically solve the general nonlinear system of Volterra integro-fractional differential equations of Hammerstein type (NSVIFDE-H) described in the
Mariwan Rashid Ahmed, S. Ahmed, P. Sabir
semanticscholar   +1 more source

A novel differential‐integral quadrature method for the solution of nonlinear integro‐differential equations

Mathematical methods in the applied sciences, 2021
In this work, we introduce an integration matrix operator that is fully consistent with the differentiation matrix operator defined by the differential quadrature method (DQM).
S. Mohamed   +2 more
semanticscholar   +1 more source

An algorithmic proof of the coherence of the ring of polynomial ordinary integro-differential operators

Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation
Bavula proved that the ring \({\mathbb {I}}_1\) of polynomial ordinary integro-differential operators over a field \(\mathbb {k}\) of characteristic zero is coherent in the sense that the left/right kernel of any rectangular matrix with entries in ...
T. Cluzeau, Camille Pinto, Alban Quadrat
semanticscholar   +1 more source

Polynomial solutions for general linear polynomial ordinary integro-differential systems

Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation
In this article, we consider the problem of computing polynomial solutions of general linear systems of ordinary integro-differential equations with polynomial coefficients.
T. Cluzeau, Camille Pinto, Alban Quadrat
semanticscholar   +1 more source

Solution of systems of linear Caputo fractional Volterra integro-differential equations using the Khalouta integral transform method

Вестник Самарского государственного технического университета. Серия «Физико-математические науки»
The Khalouta integral transform is a powerful method for solving various types of equations, including integro-differential equations and integral equations.
A. Khalouta
semanticscholar   +1 more source

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