Discrete collocation method for solving two-dimensional linear and nonlinear fuzzy Volterra integral equations

DOI10.1016/J.APNUM.2021.09.014zbMath1482.65234OpenAlexW3203684895MaRDI QIDQ2238839

Hongyan Liu, Jin Huang, Xiaoxia Wen, Ting Deng

Publication date: 2 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.09.014

zbMATH Keywords

convergence analysisuniform modulus of continuitydiscrete collocation methodtwo-dimensional fuzzy Volterra integral equationtwo-dimensional Gronwall inequality

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Cites Work

• Unnamed Item
• Numerical solution of nonlinear fuzzy Fredholm integral equations using iterative method
• Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
• Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle
• Fuzzy modeling and control of HIV infection
• On the fuzzy initial value problem
• Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations
• Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions
• Application of bivariate fuzzy Bernstein polynomials to solve two-dimensional fuzzy integral equations
• Numerical solution of two-dimensional linear fuzzy Fredholm integral equations by the fuzzy Lagrange interpolation
• Solving fuzzy Volterra integrodifferential equations of fractional order by Bernoulli wavelet method
• Quadrature rules for integrals of fuzzy-number-valued functions
• A computational method for fuzzy Volterra-Fredholm integral equations
• A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations
• On numerical solution of two-dimensional nonlinear Urysohn fuzzy integral equations based on fuzzy Haar wavelets
• A new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equations
• Extrapolation method for solving two-dimensional Volterra integral equations of the second kind
• Open fuzzy cubature rule with application to nonlinear fuzzy Volterra integral equations in two dimensions
• Towards the accuracy of iterative numerical methods for fuzzy Hammerstein-Fredholm integral equations
• Gaussian quadratures for approximate of fuzzy multiple integrals
• Theory and applications of fuzzy Volterra integral equations
• The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations
• Fuzzy differential equations
• Fuzzy mathematics in economics and engineering

This page was built for publication: Discrete collocation method for solving two-dimensional linear and nonlinear fuzzy Volterra integral equations