System of integral equations
A new iteration method for solving a class of Hammerstein type integral equations system
... of system of linear integral equations of the second kind based on Adomian’s decomposition method ...the integral equations system was proposed by Rashidinia and Zarebnia ...
16
Bernoulli operational matrix method for system of linear Volterra integral equations
... of system of linear Volterra integral equations. System of Volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and ...
7
Positive solution of a system of integral equations with applications to boundary value problems of differential equations
... differential equations or integral equations containing three equations have gained considerable popularity and importance due mainly to their demonstrated appli- cations in widespread fields of ...
26
Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations
... In this paper, Legendre wavelets method was aplied for solving system of linear integral equations. The present method reduced the system of integral equations to a system ...
9
Common random fixed point results with application to a system of nonlinear integral equations
... The system of integral equations ...Voltera-Hammerstien integral equations (see [15]) in deterministic with M = [a, ∞) and µ(s) = ...
8
On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method
... solving integral equations using Monte Carlo method was proposed by Albert [3], and was later developed ...Fredholm integral equations of the second ...Volterra integral ...
7
The Fast Parametric Integral Equations System for Polygonal 2D Potential Problems
... parametric integral equations system (PIES) to solve boundary value ...differential equations, such as: Laplace [1], [2], Helmholtz [3] or Navier-Lam´e [4], [5], ...boundary integral ...
6
Degenerate Parametric Integral Equations System for Laplace Equation and Its Effective Solving
... Considering above mentioned problems many researchers constantly looking for new methods of solving the boundary value problems or developing existing methods. We are developing the method called parametric ...
6
On Solutions of a System of Wiener-Hopf Integral Equations
... a system of Volterra-Fredholm integral equations in terms of Taylor ...a system of Volterra integral equations of the first kind with highly oscillatory Bessel ...a system ...
6
Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations
... Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of ...mixed system (ill-posed problem) to system of the second ...
25
A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
... In this paper, a modified degenerate kernel method (MDKM) was applied to the system of Fredholm integral equations of the second kind. The results show that the MDKM is a promising tool to handle ...
11
Numerical solution of linear integral equations system using the Bernstein collocation method
... Volterra integral equations systems of the second ...a system of linear algebraic equations in generalized ...given integral equations ...
15
Numerical solution of the system of Volterra integral equations of the first kind
... Volterra integral equations of the first ...linear integral equations were considered, but examples were investigated for non-linear ...
9
Retracted Article: Jacobi spectral solution for integral algebraic equations of index 1
... This section is devoted to applying the Jacobi collocation method to numerically solve the IAEs system (.). We first use some variable transformations to change the equation into a new system of ...
12
SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
... a system of Volterra integral equations equivalent to the direct problem and prove the existence and uniqueness of the solution to this system, then we prove the existence of solution to the ...
5
Liouville type theorem for some nonlinear systems in a half space
... the integral equations system of the abstract in three cases: the so-called subcritical, critical, and supercritical cases, and we obtain a new Liouville-type theorem of this system under some ...
9
Existence of solutions of a system of 3D axisymmetric inviscid stagnation flows
... The main aim of this paper is to study the existence of solutions of (.)-(.) analytically for the case of | λ | < . The method is to present a system of two integral equations and study the ...
16
A Simple Numerical Solution Method for TM Scattering by Conducting Cylinders Partially Buried in a Dielectric Half-Space
... A system of coupled integral equations for the current induced on the cylinder and the scattered electric field at the dielectric interface are formulated from field equivalence ...coupled ...
7
A fast multilevel algorithm for integral equations
... of integral equations by composite Gauss rules can be related to approximations of integral operators that converge in the operator norm, rather than ...
14
Solvability for a coupled system of fractional differential equations with integral boundary conditions at resonance
... differential equations arise in a variety of different areas such as rheology, fluid flows, electrical networks, viscoelasticity, chemical physics, electron-analytical chemistry, biology, control theory ...differential ...
13