Numerical method for the solution of linear boundary-value problems for integrodifferential equations based on spline approximations

DOI10.1007/s11253-020-01719-8OpenAlexW3007527448MaRDI QIDQ2100610

N. B. Iskakova, Anar T. Assanova, É. A. Bakirova

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01719-8

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20)

Related Items (7)

A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Two-point boundary value problem for Volterra-Fredholm integro-differential equations and its numerical analysis ⋮ A two-point boundary value problem for a fourth order partial integro-differential equation ⋮ On the unique solvability of a family of boundary value problems for integro-differential equations of mixed type ⋮ To a unique solvability of a problem with integral condition for integro-differential equation ⋮ On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution ⋮ The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization

Cites Work

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• Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations
• Criteria for the well-posedness of a linear two-point boundary value problem for systems of integro-differential equations
• On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
• Numerical solutions of system of linear Fredholm-Volterra integro-differential equations by the Bessel collocation method and error estimation
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations
• A method for solving the linear boundary value problem for an integro-differential equation
• Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
• Computational methods of solving the boundary value problems for the loaded differential and Fredholm integro‐differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation
• On the numerical solution of loaded systems of ordinary differential equations with nonseparated multipoint and integral conditions
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Numerical method of solving boundary-value problems for integrodifferential equations with deviating argument

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