New approximation method for Volterra nonlinear integro-differential equation

DOI10.1142/S1793557119500165zbMath1406.65140OpenAlexW2785698365WikidataQ115244532 ScholiaQ115244532MaRDI QIDQ4621414

Mourad Ghiat, Hamza Guebbai, Sami Segni

Publication date: 12 February 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500165

zbMATH Keywords

fixed pointnonlinear equationNyström methodVolterra integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (9)

A priori error analysis of a stabilized finite-element scheme for an elliptic equation with time-dependent boundary conditions ⋮ Analytical and numerical study of a nonlinear Volterra integro-differential equation with the Caputo-Fabrizio fractional derivative ⋮ On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term ⋮ A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions ⋮ Numerical solution of non-linear Volterra integral equation of the first kind ⋮ On a new nonlinear integro-differential Fredholm-Chandrasekhar equation ⋮ Solution of an integro-differential nonlinear equation of Volterra arising of earthquake model ⋮ Difference derivative for an integro-differential nonlinear Volterra equation ⋮ An approximation solution of linear Fredholm integro-differential equation using collocation and Kantorovich methods

Cites Work

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• The numerical treatment of Volterra integro-differential equations with unbounded delay
• Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method
• Theoretical Numerical Analysis
• The variational iteration method for solving the fractional coupled lotka-volterra equation

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