Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, we propose an iterative procedure based on quadrature fo...

Full description

Saved in:

Bibliographic Details
Main Authors:	S. M. Sadatrasoul, R. Ezzati
Format:	Article
Language:	English
Published:	Wiley 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/413570
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the numerical solution of highly oscillatory Fredholm integral equations using a generalized quadrature method
by: Adil Owaid Jhaily, et al.
Published: (2025-03-01)

Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods
by: Reza Ezzati, et al.
Published: (2014-01-01)

An Optimization on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations
by: Venelin Todorov, et al.
Published: (2020-09-01)

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula
by: Abdullo Hayotov, et al.
Published: (2024-11-01)

Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method
by: Chriscella Jalius, et al.
Published: (2017-01-01)

A NOVEL QUADRATURE RULE FOR INTEGRATION OF ANALYTIC FUNCTIONS
by: Tusar Singh, et al.
Published: (2025-02-01)

Differential Quadrature Solution of Hyperbolic Telegraph Equation
by: B. Pekmen, et al.
Published: (2012-01-01)

Upper Bounds for the Remainder Term in Boole’s Quadrature Rule and Applications to Numerical Analysis
by: Muhammad Zakria Javed, et al.
Published: (2024-09-01)

The Modified Quadrature Method for solving Volterra Linear Integral Equations
by: Baghdad Science Journal
Published: (2014-12-01)

Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods
by: Rashid Ali, et al.
Published: (2022-01-01)

On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures
by: I.M. Shakirova
Published: (2016-12-01)

Using modified two-dimensional block-pulse functions for the numerical solution of nonlinear two-dimensional volterra integral equations
by: F. Mirzaee, et al.
Published: (2014-06-01)

Solutions of Two-Dimensional Nonlinear Sine-Gordon Equation via Triple Laplace Transform Coupled with Iterative Method
by: Alemayehu Tamirie Deresse, et al.
Published: (2021-01-01)

Numerical Solutions of Two-Dimensional Vorticity Transport Equation Using Crank-Nicolson Method
by: Maan A. Rasheed, et al.
Published: (2022-04-01)

Two-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations
by: Rohul Amin, et al.
Published: (2022-01-01)

Numerical solution of first kind Fredholm integral equations with semi-smooth kernel: A two-stage iterative approach
by: Mohana Sundaram Muthuvalu, et al.
Published: (2024-11-01)

Quadrature Solution for Fractional Benjamin–Bona–Mahony–Burger Equations
by: Waleed Mohammed Abdelfattah, et al.
Published: (2024-11-01)

Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method
by: Limei Yan
Published: (2013-01-01)

Numerical Simulation and Dynamics of Burgers’ Equation Using the Modified Cubic B-Spline Differential Quadrature Method
by: Geeta Arora, et al.
Published: (2023-01-01)

Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation
by: Shubham Mishra, et al.
Published: (2022-01-01)

A Composite Algorithm for Numerical Solutions of Two-Dimensional Coupled Burgers’ Equations
by: Vikas Kumar, et al.
Published: (2021-01-01)

Mechanical Quadrature Method and Splitting Extrapolation for Solving Dirichlet Boundary Integral Equation of Helmholtz Equation on Polygons
by: Hu Li, et al.
Published: (2014-01-01)

Numerical solution of two dimensional time-fractional telegraph equation using Chebyshev spectral collocation method
by: Kamran, et al.
Published: (2025-03-01)

Fuzzy Volterra Integral Equations with Piecewise Continuous Kernels: Theory and Numerical Solution
by: S. Noeiaghdam, et al.
Published: (2024-12-01)

Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem
by: A. M. Al-Bugami
Published: (2021-01-01)

A Hybrid Method for Numerical Solution of Fuzzy Mixed Delay Volterra-Fredholm Integral Equations System
by: Bahman Ghazanfari
Published: (2025-02-01)

Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II
by: Dušan Lj. Djukić, et al.
Published: (2025-02-01)

Efficient Numerical Quadrature for Highly Oscillatory Integrals with Bessel Function Kernels
by: Guo He, et al.
Published: (2025-05-01)

New Derivative Based Open Newton-Cotes Quadrature Rules
by: Fiza Zafar, et al.
Published: (2014-01-01)

Gaussian quadrature rules and A-stability of Galerkin schemes for ODE
by: Ali Bensebah, et al.
Published: (2003-01-01)

Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product
by: Adem Kılıçman, et al.
Published: (2010-01-01)

Numerical Solution of the Nonlinear Convection–Diffusion Equation Using the Fifth Order Iterative Method by Newton–Jarratt
by: Santiago Quinga, et al.
Published: (2025-04-01)

Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods
by: Mathew Aibinu, et al.
Published: (2020-01-01)

A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels
by: Li Zhang, et al.
Published: (2019-01-01)

Numerical solution of fredholm fuzzy integral equations of the second kind via direct method using triangular functions
by: F. Mirzaee, et al.
Published: (2012-12-01)

Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
by: Reza Abazari, et al.
Published: (2013-01-01)

A numerical method for solving ill-posed problems for two-dimensional integral equations of the first kind
by: Igor Eduardovich Naats, et al.
Published: (2022-09-01)

Two Different Methods for Numerical Solution of the Modified Burgers’ Equation
by: Seydi Battal Gazi Karakoç, et al.
Published: (2014-01-01)

A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations
by: K. Ivaz, et al.
Published: (2013-01-01)

Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms
by: M. Mustafa Bahşi, et al.
Published: (2015-01-01)