Results 31 to 40 of about 62,013 (161)

Numerical solution of integral equations with finite part integrals

International Journal of Mathematics and Mathematical Sciences, 1999
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
doaj   +1 more source

The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind [PDF]

Advances in Radio Science, 2013
The linear equation systems which arise from the discretization of surface integral equations are conveniently solved with iterative methods because of the possibility to employ fast integral methods like the Multilevel Fast Multipole Method.
O. Wiedenmann, T. F. Eibert
doaj   +1 more source

A novel approach to nonlinear fractional volterra integral equations

Acta Polytechnica
Nonlinear Fractional Volterra integral equations (FVIEs) of the first kind present challenges due to their intricate nature, combining fractional calculus and integral equations.
Mohammed Abdulshareef Hussein, Hassan Kamil Jassim   +1 more
doaj   +1 more source

Differential-integral Euler–Lagrange equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
We study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
doaj   +1 more source

Linear Integral Equations

, 1989
3
openaire   +4 more sources

Solutions of singular integral equations

International Journal of Mathematics and Mathematical Sciences, 1982
Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
doaj   +1 more source

Hypersingular Integral Equations Encountered in Problems of Mechanics

Mathematics
In the paper, for hypersingular integral equations with new kernels, a solution is constructed using an approach based on Chebyshev orthogonal polynomials and the principle of contraction mappings.
Suren M. Mkhitaryan, Hovik A. Matevossian, Eghine G. Kanetsyan, Musheg S. Mkrtchyan   +3 more
doaj   +1 more source

Integral equations with contrasting kernels

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper we study integral equations of the form $x(t)=a(t)-\int^t_0 C(t,s)x(s)ds$ with sharply contrasting kernels typified by $C^*(t,s)=\ln (e+(t-s))$ and $D^*(t,s)=[1+(t-s)]^{-1}$.
Theodore Burton
doaj   +1 more source

Integral equations for the wave function of particle systems

Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019
Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
doaj   +1 more source

Logarithmic singularity subtraction for matrix‐friendly layered medium Green's functions

Electronics Letters
A subtraction procedure is proposed to evaluate the logarithmic singularity for matrix‐friendly layered medium Green's functions. In this subtraction procedure, an integral of the Bessel function combined with the exponential function and power function,
Shuo Wang
doaj   +1 more source