Results 171 to 180 of about 112,470 (228)

A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation

Communications in Nonlinear Science and Numerical Simulation, 2011
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Parand, K., Abbasbandy, S., Kazem, S., Rad, J. A.   +3 more
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Complexity for a class of elliptic ordinary integro-differential equations

Journal of Complexity, 2023
Arthur G. Werschulz
openalex   +2 more sources

Integro perturbation method for ordinary differential equations

Journal of Mathematical Problems, Equations and Statistics
Mehmet Pakdemi̇rli̇
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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, Yuanran Zhu, Senwei Liang, Jia Yin, Cian C. Reeves, Vojtěch Vlček, Chao Yang   +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 Solution of Arbitrary-Order Ordinary Differential and Integro-Differential Equations with Separated Boundary Conditions Using Optimal Control Technique

Journal of Optimization Theory and Applications, 2012
Mahmoud Zarepour, Ghasem Barid Loghmani
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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, N. A. Mohamed, Sarah I. Abo‐Hashem   +2 more
semanticscholar   +1 more source

Power Series Variational Iteration Method for Fractional Order Boundary Value Integro-Differential Equations with certain Orthogonal Polynomials

Nigerian Journal of Science and Environment
The motivation behind this work is the recent advances in literature for seeking numerical techniques for fractional order boundary value integro-differential equations.
E.K. Johnson,, I. N. Njoseh
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
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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