Numerical solution of a nonlinear Abel type Volterra integral equation

T. Diogo; P. Lima; M. Rebelo

doi:10.3934/cpaa.2006.5.277

Article Contents

2006, Volume 5, Issue 2: 277-288. Doi: 10.3934/cpaa.2006.5.277

This issue Previous Article The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays Next Article Comparison of numerical methods for fractional differential equations

Numerical solution of a nonlinear Abel type Volterra integral equation

1.
Centro de Matematica e Aplicącoes, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisboa
2.
Centro de Matemática Aplicacoes, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa
3.
Departamento de Matemática, Faculdade de Ciências e Tecnologia, Monte da Caparica

Received: February 28, 2005

Revised: May 31, 2005

Published: May 2006

Abstract Related Papers Cited by

Abstract

We are concerned with the analytical and numerical analysis of a nonlinear weakly singular Volterra integral equation. Owing to the singularity of the solution at the origin, the global convergence order of Euler's method is less than one. The smoothness properties of the solution are investigated and, by a detailed error analysis, we prove that first order of convergence can be achieved away from the origin. Some numerical results are included confirming the theoretical estimates.

Keywords:

Mathematics Subject Classification: 65R20.

Citation:

Article Metrics

HTML views() PDF downloads(251) Cited by(0)

Numerical solution of a nonlinear Abel type Volterra integral equation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Numerical solution of a nonlinear Abel type Volterra integral equation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content