Results 81 to 90 of about 73,046 (353)
Introduction For the scientific study of a natural phenomenon it must be modeled. The resulting model is often expressed as a differential equation (DE), an integral equation (IE) or an integro-differential equation (IDE) or a system of these. Therefore,
Ahmad Molabahrami
doaj
Multistep collocation method for nonlinear delay integral equations [PDF]
The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method.
Parviz Darania
doaj
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj +1 more source
Numerical Methods for Ill-Posed, Linear Problems [PDF]
A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
core +1 more source
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
Iterative methods for solving quadratic Volterra integral equations of the first kind
Background. The paper is devoted to the numerical study of integral equations of the first kind with quadratic nonlinearity, which are part of the generalized Volterra integropower series and describe dynamical systems with one input and one output. Such
A.N. Tynda
doaj +1 more source
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani +2 more
doaj
The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing. Firstly, the governing free-boundary PDEs are modified as a unified
Yong Chen, Jianjun Ma
doaj +1 more source
Stability Issues for Selected Stochastic Evolutionary Problems: A Review
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
doaj +1 more source
Two numerical methods for Abel's integral equation with comparison [PDF]
Analogy between Abel's integral equation and the integral of fractional order of a given function, j^α f(t), is discussed. Two different numerical methods are presented and an approximate formula for j^α f(t) is obtained. The first approach considers the case when the function, f(t), is smooth and a quadrature formula is obtained. A modified formula is
openaire +1 more source

