Volterra integral equations solved in Fredholm form using Walsh functions
Recently Walsh function methods have been developed for the numerical solution of several classes of problems, mainly linear and nonlinear integral equations of both Volterra and Fredholm types.
May, R. L. +2 more
core
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
doaj
Random search algorithm for solving the nonlinear Fredholm integral equations of the second kind. [PDF]
Hong Z, Yan Z, Yan J.
europepmc +1 more source
On some Volterra-Fredholm integral equations
Existence, uniqueness and numerical results for some Volterra-Fredholm integral equations are given. To obtain existence and uniqueness Picard operators technique is applied. Numerical method based on collocation using modified q.i. splines is presented.
V. MURESAN +2 more
core
Quarter-Sweep Iteration for First Kind Linear Fredholm Integral Equations
The main aim of this paper is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the first kind.
Muthuvalu +2 more
core
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
Singular perturbations of integral equations with degenerate kernels
Singularly perturbed Fredholm equations of the second kind are investigated. The kernels are allowed to have a jump discontinuity which vanishes at a point along the diagonal.
Shubin, Carol Ann
core
A Computational Method for System of Linear Fredholm Integral Equations
This paper focuses on developing a numerical method based on a cubic spline approach for the solution of system of linear Fredholm equations of the second kind. This method produces a system of algebraic equations.
Ogunlaran, Oladotun Matthew +1 more
core
A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]
Dana Mazraeh H +3 more
europepmc +1 more source
Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
europepmc +1 more source

