Approximate solution of abel integral equation
From MaRDI portal
Publication:2519518
DOI10.1016/j.camwa.2008.04.003zbMath1152.45307OpenAlexW1966827893MaRDI QIDQ2519518
Xian-Fang Li, Yong Huang, Li Huang
Publication date: 26 January 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.04.003
Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05)
Related Items (25)
An approximate method for Abel inversion using Chebyshev polynomials ⋮ Hermite multiwavelets representation for the sparse solution of nonlinear Abel's integral equation ⋮ A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type ⋮ An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics ⋮ An efficient numerical method for solving Abel integral equation ⋮ Generalized Abel inversion using extended hat functions operational matrix ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space ⋮ Arc-shaped interfacial crack in a non-homogeneous electro-elastic hollow cylinder with orthotropic dielectric layer ⋮ A new operational method to solve Abel's and generalized Abel's integral equations ⋮ A stable numerical inversion of generalized Abel's integral equation ⋮ Numerical treatment of solving singular integral equations by using sinc approximations ⋮ The cyclically symmetric anti-plane fracture analysis for the arc-shaped interface in a non-homogeneous bimaterial cylindrical structure ⋮ A linear approximation for solutions of Abel-Volterra integral equations ⋮ Approximate solution of fractional integro-differential equations by Taylor expansion method ⋮ On Bernstein polynomials method to the system of Abel integral equations ⋮ Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra-Fredholm integral equations ⋮ Approximate solution of a class of linear integro-differential equations by Taylor expansion method ⋮ A generalized barycentric rational interpolation method for generalized Abel integral equations ⋮ Best approximations of solutions of fractional-integral equations with the Riemann-Liouville operator ⋮ An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations ⋮ An Approximate Approach for Systems of Singular Volterra Integral Equations Based on Taylor Expansion ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- New stable numerical inversion of Abel's integral equation
- Abel integral equations. Analysis and applications
- Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs
- Computing integral transforms and solving integral equations using Chebyshev polynomial approximations
- A new Abel inversion by means of the integrals of an input function with noise
- On the Numerical Solution of Equations of the Abel Type
- Numerical solution of the abel integral equation
- A new method of solving noisy Abel-type equations
This page was built for publication: Approximate solution of abel integral equation
