A numerical method for solving the Abel integral equation
A piecewise constant collocation method using cosine mesh grading for Symm's equation.
A Quadrature-Based Approach to Improving the Collocation Method.
A Singular Convolution Equation In The Space Of Distributions
A singular convolution equation in the space of distributions.
Abel transform and integrals of Bessel local times
Adaptive Boundary Element Methods for Strongly Elliptic Integral Equations.
Algorithm 65. Determination of the solution of an Abel integral equation
Algorithm 67. Determination of the solution of Abel integral equations, II
Algorithm 68. Determination of the solution of Abel integral equations, III
An algebra of integral operators.
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.
Analysis for General Quadrature Methods for Integral Equations of the Second Kind.
Application of matrix polynomials to investigation of singular equations.
Application of modified moments in the numerical solution of the Abel integral equation
Asymptotic behavior of singular values of certain integral operators.
Asymptotics of integrodifferential models with integrable kernels II.
Asymptotics of integrodifferential models with integrable kernels.
Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation
Boundedness of Riesz potential generated by generalized shift operator on spaces
In this paper, the boundedness of the Riesz potential generated by generalized shift operator from the spaces to the spaces is examined.