Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation

DOI10.1007/S12543-012-0119-8zbMath1263.65133OpenAlexW2084140755MaRDI QIDQ1937937

Yousef Jafarzadeh

Publication date: 1 February 2013

Published in: Fuzzy Information and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12543-012-0119-8

zbMATH Keywords

convergencenumerical exampledegenerate kernelfuzzy Fredholm integral equationquadrature method of splines

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Fuzzy real analysis (26E50) Linear integral equations (45A05)

Related Items (7)

Fuzzy Bezier splines with application to fuzzy functional integral equations ⋮ The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel ⋮ Fuzzy trapezoidal cubature rule and application to two-dimensional fuzzy Fredholm integral equations ⋮ Numerical solution of two-dimensional linear fuzzy Fredholm integral equations by the fuzzy Lagrange interpolation ⋮ Application of Simpson quadrature rule and iterative method for solving nonlinear fuzzy delay integral equations ⋮ Approximating the solution of nonlinear Hammerstein fuzzy integral equations ⋮ Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method

Cites Work

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• Solutions to fuzzy integral equations with arbitrary kernels
• Quadrature rules for integrals of fuzzy-number-valued functions
• Interpolation of fuzzy data
• Error estimation in the approximation of the solution of nonlinear fuzzy Fredholm integral equations
• Numerical method for solving linear Fredholm fuzzy integral equations of the second kind
• Fuzzy differential equations

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