Results 111 to 120 of about 206,050 (258)

A Regularization of Fredholm type singular integral equations

International Journal of Mathematics and Mathematical Sciences, 2001
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
doaj   +1 more source

Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations

Alexandria Engineering Journal, 2016
In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
doaj   +1 more source

On Ulam stabilities of iterative Fredholm and Volterra integral equations with multiple time-varying delays

RACSAM
In present study, we deal with nonlinear iterative Fredholm and Volterra integral equations (Fredholm and Volterra IEs) including variable time delays. We are interested here in the investigations of the uniqueness of solutions and Ulam type stabilities ...
O. Tunç, C. Tunç
semanticscholar   +1 more source

Application of boundary integral method to elastoplastic analysis of V-notched beams [PDF]

The boundary integral equation method was applied in the solution of the plane elastoplastic problem. The use of this method was illustrated by obtaining stress and strain distributions for a number of specimens with a single-edge notch and subjected to ...
Albers, L. U., Mendelson, A., Raftopoulos, D. D., Rzasnicki, W.   +3 more
core   +1 more source

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

The Study of Triple Integral Equations with Generalized Legendre Functions

Abstract and Applied Analysis, 2008
A method is developed for solutions of two sets of triple integral equations involving associated Legendre functions of imaginary arguments. The solution of each set of triple integral equations involving associated Legendre functions is reduced to a ...
B. M. Singh, J. Rokne, R. S. Dhaliwal
doaj   +1 more source

On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations [PDF]

, 2016
Biconfluent Heun equation (BHE) is a confluent case of the general Heun equation which has one more regular singular points than the Gauss hypergeometric equation on the Riemann sphere $\hat{\mathbb{C}}$.
Chiang, Yik-Man, Yu, Guo-Fu
core  

A Multiple Iterated Integral Inequality and Applications

Journal of Applied Mathematics, 2014
We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
doaj   +1 more source

Introducing the Second-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural Integral Equations

Mathematics
This work presents the “First-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural Integral Equations” (1st-FASAM-NIE-Fredholm) and the “Second-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural ...
Dan Gabriel Cacuci
doaj   +1 more source

Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet. [PDF]

Heliyon, 2020
Amin R, Shah K, Asif M, Khan I.
europepmc   +1 more source