Results 101 to 110 of about 138,862 (288)

Some considerations on numerical methods for Cauchy singular integral equations on the real line

Mathematical Modelling and Analysis
Two different direct methods are proposed to solve Cauchy singular integral equations on the real line. The aforementioned methods differ in order to be able to prove their convergence which depends on the smoothness of the known term function in the ...
Maria Rosaria Capobianco, Giuliana Criscuolo   +1 more
doaj   +1 more source

Arrangement of vortex lattices [PDF]

A new method is developed for solving the lifting-surface equation for thin wings. The solution requires the downwash equation to be in the form of Cauchy integrals which can be interpreted as a vortex lattice with the positions of the vortices and ...
Dejarnette, F. R.
core   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

Mathematische Nachrichten, EarlyView.
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

A Cauchy integral method to solve the 2D Dirichlet and Neumann problems for irregular simply-connected domains

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
A method for construction of solutions to the continuous approximate 2D Dirichlet and Neumann problems in the arbitrary simply-connected domain with a smooth boundary has been discussed.
A. El-Shenawy, E.A. Shirokova
doaj  

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

On continuous solutions of the Cauchy problem for equations of fractional order

Журнал Белорусского государственного университета: Математика, информатика, 2019
It is studied the nonlocal conditions of solving Cauchy-type problem for fractional differential equations with  Riemann – Liouville derivatives in some special function space.
Petr P. Zabreiko, Svetlana V. Ponomareva
doaj  

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani, Cristiana J. Silva, Guillaume Cantin   +2 more
wiley   +1 more source

Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]

Opuscula Mathematica, 2008
In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
doaj