integral equation

Related to integral equation: Fredholm integral equation

integral equation

[′int·ə·grəl i′kwā·zhən]

(mathematics)

An equation where the unknown function occurs under an integral sign.

References in periodicals archive ?

This "photonic calculus" would work by encoding parameters into the properties of an incoming electromagnetic wave and sending it through a metamaterial device; once inside, the device's unique structure would manipulate the wave in such a way that it would exit encoded with the solution to a pre-set integral equation for that arbitrary input.

Metamaterials That Can Solve Equations

It is well known [6, 12,26,32] (see also [11, 15,20]) that the derivatives of a solution to a weakly singular integral equation such as (1.1), in general, have certain boundary singularities.

Fast Solvers of Weakly Singular Integral Equations of the Second Kind

A general form of an integral equation in [phi](x) is of the form

ADAPTED SOLUTION WITH NEWTON-KANTOROVICH METHOD FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS

In this case, the integral equation for [[sigma].sub.2] takes the form [12]:

ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES

For a nonperiodic indenter the integral equation with Cauchy kernel is used [10]:

Partial Contact of a Rigid Multisinusoidal Wavy Surface with an Elastic Half-Plane

Recently many authors proposed various numerical methods for solving one-dimensional fuzzy integral equations [19].

Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation

Many engineering and physical problems result in the analysis of the nonlinear weakly singular Volterra integral equations (WSVIEs).

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

This is because of the inherent quality of the Fredholm integral equation of the second kind, where the boundary conditions are naturally imbedded.

Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function

The method is based on the reduction of the problem to the Fredholm integral equation of the second kind for the boundary values of the conjugate harmonic function.

The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains

(10) In the paper titled "Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels," the authors developed a generalized Jacobi-Galerkin method for the second kind Volterra integral equations with weakly singular kernels.

Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations

Pachpatte, "On Volterra-Fredholm integral equation in two variables," Demonstratio Mathematica, vol.

On a System of Volterra Type Hadamard Fractional Integral Equations in Frechet Spaces

and if k(t,x,y) = q(t) and f (t,x,y) = 1 for all t [member of] J and x, y [member of] R, it is reduced to nonlinear usual Volterra integral equation with maxima

DHAGE ITERATION METHOD FOR GENERALIZED QUADRATIC FRACTIONAL INTEGRAL EQUATIONS WITH MAXIMA