On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

DOI10.1007/s40314-020-01235-2zbMath1463.45008OpenAlexW3041019551WikidataQ115373830 ScholiaQ115373830MaRDI QIDQ2196270

Mourad Ghiat, Sami Segni, Hamza Guebbai, Muhammet Kurulay

Publication date: 28 August 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01235-2

zbMATH Keywords

fixed pointnonlinear equationVolterra equationproduct integration methodintegro-differential

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Singular integral equations (45E99) Integro-ordinary differential equations (45J99)

Related Items (5)

Block-by-block method for solving non-linear Volterra integral equation of the first kind ⋮ Numerical solution of non-linear Volterra integral equation of the first kind ⋮ Approximate Solution of the Nonlinear Fredholm Integral Equation of the Second Kind ⋮ An approximation solution of linear Fredholm integro-differential equation using collocation and Kantorovich methods ⋮ On the mixed nonlinear integro-differential equations with weakly singular kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Series expansion method for weakly singular Volterra integral equations
• Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
• Analytical and numerical study for an integro-differential nonlinear Volterra equation
• The numerical treatment of Volterra integro-differential equations with unbounded delay
• Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method
• Analytical and numerical study for an integro-differential nonlinear Volterra equation with weakly singular kernel
• Theoretical Numerical Analysis
• THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS
• New approximation method for Volterra nonlinear integro-differential equation

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