An Analysis of the Numerical Solution of Fredholm Integral Equations of the First Kind.
An approximate solution of some Volterra integral equation with a smooth kernel
The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
An effective method for solving fractional integro-differential equations.
An Extrapolation Method with Step Size Control for Nonlinear Volterra Integral Equations.
An immediate analysis for global superconvergence for integrodifferential equations
In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.
An Integral Equation Method for the Numerical Conformal Mapping of Interior, Exterior and Doubly-Connected Domains
An inverse problem in a parabolic equation.
An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.
An iterative method for computing the eigenvalues of second kind Fredholm operators and applications.
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales.
An X-ray transform estimate in Rn.
We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
Analysis for General Quadrature Methods for Integral Equations of the Second Kind.
Analysis of integral equations attached to skin effect
Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind.
Application of modified moments in the numerical solution of the Abel integral equation
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.
Application of Rothe's method to evolution integrodifferential equations.
Application of Rothe's method to evolution integrodifferential systems
Approximate methods for linear integral equations of the first kind