Direct computation method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions: degenerate and non-degenerate kernels

DOI10.1016/j.cam.2014.12.025zbMath1309.65161OpenAlexW1999623670WikidataQ115359824 ScholiaQ115359824MaRDI QIDQ2255714

Ahmad Molabahrami

Publication date: 18 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.12.025

zbMATH Keywords

algorithmconvergencenumerical exampleLagrange interpolationerror boundTaylor seriesill-posed problemsdegenerate kernelmixed conditionsdirect computation methodnon-degenerate kernelsnonlinear Fredholm integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05)

Related Items (9)

Unnamed Item ⋮ Unnamed Item ⋮ A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations ⋮ A solution to a nonlinear Fredholm integro-differential equation ⋮ On existence and numerical solution of higher order nonlinear integro-differential equations involving variable coefficients ⋮ Unnamed Item ⋮ Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods ⋮ A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions ⋮ Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

Cites Work

• The spectral methods for parabolic Volterra integro-differential equations
• Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
• A series solution of the nonlinear Volterra and Fredholm integro-differential equations
• The numerical solution of the non-linear integro-differential equations based on the meshless method
• A meshless based method for solution of integral equations
• He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
• Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations
• An algorithm based on the regularization and integral mean value methods for the Fredholm integral equations of the first kind
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Direct computation method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions: degenerate and non-degenerate kernels