Results 41 to 50 of about 112,470 (228)

One-step block method for solving Volterra integro-differential equations [PDF]

open access: yes, 2014
One-step block method for solving linear Volterra integro-differential equations (VIDEs) is presented in this paper. In VIDEs, the unknown function appears in the form of derivative and under the integral sign.
Abdul Majid, Zanariah   +1 more
core   +1 more source

Existence, Uniqueness and Numerical Modeling of Wine Fermentation Based on Integro-Differential Equations [PDF]

open access: yesSIAM Journal on Applied Mathematics, 2021
Predictive modeling is the key factor for saving time and resources with respect to manufacturing processes such as fermentation processes arising e.g.\ in food and chemical manufacturing processes. According to Zhang et al.
Christina Schenk, Volker Schulz
semanticscholar   +1 more source

The periodic solution of a particular system of integrative-differential and nonlinear equations with independent variable delay [PDF]

open access: yesمجلة التربية والعلم, 2005
In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro -differential equations with retarded argument. The numerical -analytic method has been adapted to study the periodic solutions of the
Raad Petrus, Ayad Ceto
doaj   +1 more source

A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order

open access: yesAxioms, 2022
In this work, a large class of integro-differential equations, arising from the description of heat transfer problems, is considered, particularly the nonlinear equations.
Rogério Martins Saldanha da Gama   +1 more
doaj   +1 more source

Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow [PDF]

open access: yesE3S Web of Conferences, 2019
Results of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives.
Khudayarov Bakhtiyar   +2 more
doaj   +1 more source

Lower bounds and positivity conditions for Green's functions to second order differential-delay equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
We consider the Cauchy problem on the positive half-line for the differential-delay equation $$ \ddot u(t)+2c_0(t)\dot u(t)+c_1(t)\dot u(t-h)+d_0(t)u(t)+d_1(t)u(t-h)+d_2(t)u(t-2h)=0 $$ where $c_k(t), d_j(t) (t\geq 0; k=0,1; j=0,1,2)$ are continuous ...
Michael Gil'
doaj   +1 more source

The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
doaj   +1 more source

Optimal dividends for a NatCat insurer in the presence of a climate tipping point

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher   +2 more
wiley   +1 more source

Mass concentration in a nonlocal model of clonal selection [PDF]

open access: yes, 2016
Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis requires investigation of the impact of self-renewal on cancer expansion. To understand better this impact, we propose a mathematical model describing dynamics
Busse, Jan-Erik   +2 more
core   +1 more source

Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics

open access: yesCPT: Pharmacometrics &Systems Pharmacology, EarlyView.
Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Zhisong Wu   +5 more
wiley   +1 more source

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