Results 71 to 80 of about 280,356 (187)

Fourier series approximation for the Cauchy singular integral equation

Journal of Numerical Analysis and Approximation Theory, 2018
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cauchy singular integral equation. This study is carried in \(L^2\). Numerical examples are developped to show the effectiveness of this method.
Hamid Boulares, Hamza Guebbai, Amira Arbaoui   +2 more
doaj   +2 more sources

On the solution of integral equations with a generalized cauchy kernel [PDF]

In this paper a certain class of singular integral equations that may arise from the mixed boundary value problems in nonhomogeneous materials is considered. The distinguishing feature of these equations is that in addition to the Cauchy singularity, the
Erdogan, F., Kaya, A. C.
core   +1 more source

A q-analogue of Kummer's equation

Electronic Journal of Differential Equations, 2017
In this article we define a q-analogue of Kummer's equation. It has two singular points. Near the singular point at zero, using the Frobenius method, we obtain two linearly independent series solutions in any one of three cases according to the ...
Lukun Jia, Jinfa Cheng, Zhaosheng Feng
doaj  

Numerical method for solving scalar problem of monochromatic wave scattering from a screen with nonlinear transmission conditions

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The purpose of the study is to develop a numerical approach for solving the scalar diffraction problem on a flat screen with nonlinear transmission conditions. Material and methods.
V.O. Nesterov, A.A. Tsupak
doaj   +1 more source

APPLICATION OF SUCCESSIVE APPROXIMATION METHOD FOR SOLUTION OF ONE SINGULAR INTEGRO-DIFFERENTIAL EQUATION

Наука и техника, 2009
An investigation has been carried out and an approximate solution in the form of an iteration sequence of one singular integro-differential equation with an integral, which is understood as a main value by Cauchy, and also one integral equation with ...
I. N. Meleshko
doaj  

Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane [PDF]

Opuscula Mathematica, 2008
In the paper, we present explicit formulae for the solution of the singular integral equation with Cauchy kernels in the quarter plane. Next, Jacobi and Chebyshev polynomials are used to derive approximate solutions of this equation.
Dorota Pylak
doaj  

Singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]

Opuscula Mathematica, 2008
In this paper the explicit solutions of singular integral equation with a multiplicative Cauchy kernel in the half-plane are presented.
Paweł Karczmarek
doaj  

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +1 more source

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
europepmc   +1 more source

Adaptive Non-Singular Fast Terminal Sliding Mode Trajectory Tracking Control for Robotic Manipulator with Novel Configuration Based on TD3 Deep Reinforcement Learning and Nonlinear Disturbance Observer. [PDF]

Sensors (Basel)
You H, Liu Y, Shi Z, Wang Z, Wang L, Xue G.   +5 more
europepmc   +1 more source