1978IMA Journal of Applied MathematicsRequires access

Numerical Solutions of a Class of Abel Integral Equations

Ryszard Smarzewski, H. Malinowski

Open publisher page 4 citations

Abstract

High accuracy numerical methods are derived for solving Abel integral equations. These methods are based on the well-known inversion formulas and they use spline functions in a special form. Convergence is discussed and numerical results are presented.

About this research paper

What this paper is about

High accuracy numerical methods are derived for solving Abel integral equations. These methods are based on the well-known inversion formulas and they use spline functions in a special form. Convergence is discussed and numerical results are presented.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

High accuracy numerical methods are derived for solving Abel integral equations. These methods are based on the well-known inversion formulas and they use spline functions in a special form. Convergence is discussed and numerical results are presented.

Key concepts: Mathematics, Integral equation, Numerical analysis, Applied mathematics, Spline (mechanical), Class (philosophy), Mathematical analysis, Convergence (economics)

Related papers

Back to paper searchBrowse research topicsOriginal source
Numerical Solutions of a Class of Abel Integral Equations — Research Paper | ScholarLens