Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
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Publication:554720
DOI10.1016/j.apm.2010.11.056zbMath1217.65236OpenAlexW1993006517MaRDI QIDQ554720
Publication date: 21 July 2011
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2010.11.056
integral mean value theoremFredholm integral equations (IE)Fredholm integro-differential equations (IDE)systems of Fredholm IE and IDE
Numerical methods for integral equations (65R20) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fredholm integral equations (45B05)
Related Items (16)
Legendre-Galerkin method for the linear Fredholm integro-differential equations ⋮ Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems ⋮ A novel numerical method of two-dimensional Fredholm integral equations of the second kind ⋮ Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials ⋮ Unnamed Item ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method ⋮ Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method ⋮ An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind ⋮ SIMPLE AND EFFICIENT FIFTH ORDER SOLVERS FOR SYSTEMS OF NONLINEAR PROBLEMS ⋮ A computationally efficient sixth-order method for nonlinear models ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Direct computation method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions: degenerate and non-degenerate kernels ⋮ Note on the integral mean value method for Fredholm integral equations of the second kind ⋮ An algorithm based on the regularization and integral mean value methods for the Fredholm integral equations of the first kind ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions
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