A modified approach to the numerical solution of linear weakly singular Volterra integral equations of the second kind

DOI10.1216/jiea/1181075741zbMath0780.65080OpenAlexW2064974110MaRDI QIDQ688763

J. Abdalkhani

Publication date: 6 December 1993

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075741

zbMATH Keywords

Runge-Kutta methodblock-by-block methodshigh order of convergencepolynomial collocation methodsweakly singular Volterra integral equation of the second kind

Mathematics Subject Classification ID

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

Related Items

On the approximate solution of weakly singular integro-differential equations of Volterra type ⋮ On solving a system of singular Volterra integral equations of convolution type ⋮ Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices ⋮ Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions ⋮ Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels ⋮ Unnamed Item

Cites Work

• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
• Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
• More Generalised Discrete Gronwall Inequalities
• Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
• Weakly Singular Discrete Gronwall Inequalities
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