Results 51 to 60 of about 2,598,235 (196)

Approximate solution of the conformable integro-differential equations

open access: yesMiskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
doaj   +1 more source

Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

open access: yesAbstract and Applied Analysis, 2012
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
doaj   +1 more source

Reinforcement Learning for Jump‐Diffusions, With Financial Applications

open access: yesMathematical Finance, EarlyView.
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley   +1 more source

On a new class of integro-differential equations [PDF]

open access: yesJournal of Integral Equations and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

open access: yes, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann   +3 more
core   +3 more sources

Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem [PDF]

open access: yes, 2011
The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
core   +1 more source

A Stable Formulation for Wave‐Induced Fracture in Peridynamics

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate through already damaged ...
Kai Partmann   +3 more
wiley   +1 more source

On the Efficient Approach for the Solution of General Second Order Linear and Nonlinear Fredholm Integro-Differential Equations

open access: yesUJM (Unnes Journal of Mathematics)
In this paper, Fredholm integro-differential equations are solved using the derivative of the Lucas polynomials in matrix form. The equation is first transformed into systems of nonlinear algebraic equations using the Lucas polynomials.
Nathaniel Kamoh   +2 more
doaj   +1 more source

A hybrid technique for approximating the solution of fractional order integro differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense.
Noor A. Abdulhameed   +2 more
doaj   +1 more source

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley   +1 more source

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