The nonlinear Volterra equation of Abel's kind and its numerical treatment

DOI10.1007/BF02252379zbMath0394.65047MaRDI QIDQ1252710

H. W. Branca

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Numerical ExamplesNumerical TreatmentAbel's KindNonlinear Volterra Equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items

On nondegenerate and degenerate nonlinear Abel integral equations of the first kind ⋮ Singular expansions and collocation methods for generalized Abel integral equations ⋮ The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an \textit{hp}-version collocation approach ⋮ Bibliography on the evaluation of numerical software ⋮ The solution of infinitely ill-conditioned weakly-singular problems

Cites Work

• A product integration method for a class of singular first kind Volterra equations
• Numerical Methods for Reducing Line and Surface Probe Data
• Global Solution of the Generalized Abel Integral Equation by Implicit Interpolation
• On the Numerical Solution of Equations of the Abel Type
• Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials
• Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test
• Numerical solution of the abel integral equation
• The application of approximate product-integration to the numerical solution of integral equations