The impact of two transformations on the solutions of second kind Fredholm integral equations system

DOI10.1007/s40819-018-0520-zzbMath1461.65275OpenAlexW2801110162MaRDI QIDQ1794653

Jalil Rashidinia, Mehri Sajjadian

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-018-0520-z

zbMATH Keywords

collocation methodsystem of Fredholm integral equationsexponential transformationsinc approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (1)

Numerical treatment of singular integral equation in unbounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sinc-collocation method for solving the Blasius equation
• Delta basis functions and their applications to systems of integral equations
• The use of sinc-collocation method for solving multi-point boundary value problems
• The sinc-collocation method for solving the Thomas-Fermi equation
• Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method
• Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method
• Double exponential transformation in the sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
• Application of sinc-collocation method for solving a class of nonlinear Fredholm integral equations
• Application of sinc-collocation method for solving an inverse problem
• Numerical treatment of second kind Fredholm integral equations systems on bounded intervals
• Modified homotopy perturbation method for solving system of linear Fredholm integral equations
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
• Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation
• Double exponential formulas for numerical integration
• Optimality of the double exponential formula -- functional analysis approach
• Double exponential formulas for numerical indefinite integration.
• Eigenvalues of a system of Fredholm integral equations
• Three positive solutions of a system of Fredholm integral equations.
• Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation
• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
• The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method
• Numerical solution of integral equations system of the second kind by block-pulse functions
• A sinc-collocation method with boundary treatment for two-dimensional elliptic boundary value problems
• Using Sinc-collocation method for solving weakly singular Fredholm integral equations of the first kind
• Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method
• The Sinc‐Galerkin method for solving an inverse parabolic problem with unknown source term
• The double-exponential transformation in numerical analysis
• Numerical study of Fisher's reaction-diffusion equation by the Sinc collocation method

This page was built for publication: The impact of two transformations on the solutions of second kind Fredholm integral equations system