A sequential approach for solving the Fredholm integro-differential equation

DOI10.1016/j.apnum.2011.03.009zbMath1241.65118OpenAlexW2026253577WikidataQ115360426 ScholiaQ115360426MaRDI QIDQ412300

J. Herrera, H. S. Yoon

Publication date: 4 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.03.009

zbMATH Keywords

numerical examplesSchauder basesnonlinear Fredholm integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (13)

A new sequential approach for solving the integro-differential equation via Haar wavelet bases ⋮ Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations ⋮ Compact operators for existence of solution and projection method with multi-wavelet bases to solve (F.IES) and error analysis in Sobolev space ⋮ An iterative scheme for solving systems of nonlinear Fredholm integrodifferential equations ⋮ Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method ⋮ Galerkin method for constrained variational equations and a collage-based approach to related inverse problems ⋮ Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation ⋮ An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders ⋮ Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations ⋮ The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet ⋮ On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method ⋮ Mixed variational formulations in locally convex spaces ⋮ Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

Cites Work

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• Linear Volterra integro-differential equation and Schauder bases
• A class of integrodifferential equations and applications
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• High-order nonlinear initial-value problems countably determined
• Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation
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• Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation
• A method for the numerical solution of the integro-differential equations
• Nonlinear initial-value problems and Schauder bases
• Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body
• ISOMORPHISMS, SCHAUDER BASES IN BANACH SPACES, AND NUMERICAL SOLUTION OF INTEGRAL AND DIFFERENTIAL EQUATIONS
• The Cauchy problem for a singularly perturbed integro-differential Fredholm equation
• Numerical solution of integral equations

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