Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain

W Remili, A Rahmoune - International Journal of Computer …, 2022 - Taylor & Francis
This paper discusses two efficient collocation methods for solving the Hammerstein integral
equations on the semi-infinite domain, where the underlying solutions decay to zero at …

Sinc-Nyström methods for Fredholm integral equations of the second kind over infinite intervals

A Rahmoune, A Guechi - Applied Numerical Mathematics, 2020 - Elsevier
Efficient numerical methods using Sinc quadrature formula are proposed and analyzed for
second kind Fredholm integral equations over infinite intervals. These methods are obtained …

Non-linear integral equations on unbounded domain with global polynomials

R Nigam, N Nahid, G Nelakanti - Applied Mathematics and Computation, 2024 - Elsevier
Abstract Solving Hammerstein-Fredholm integral equations on unbounded domains is
challenging due to its domain of integration. Therefore, this paper discusses a numerical …

Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

N Nahid, G Nelakanti - Computational and Applied Mathematics, 2019 - Springer
This paper considers the Galerkin and multi-Galerkin methods and their iterated versions to
solve the linear Fredholm integral equation of the second kind on the half-line with …

Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials

N Nahid, G Nelakanti - International Journal of Computer …, 2022 - Taylor & Francis
In this paper, we consider Galerkin and multi-Galerkin methods and their iterated versions
for solving the nonlinear Hammerstein-type integral equation on the half-line with sufficiently …

[PDF][PDF] Solving singular integral equations by using collocation method

RK Saeed, JS Hassan - Mathematical Sciences Letters, 2014 - naturalspublishing.com
The aim of this work is to use the power series expansion with collocation method to
approximate the solution of integral equations (IE) of the second kind on real axis. The …

Effective approximation method for solving linear Fredholm-Volterra integral equations

ZK Eshkuvatov, M Kammuji, BM Taib… - … Algebra, Control and …, 2017 - aimsciences.org
An efficient approximate method for solving Fredholm-Volterra integral equations of the third
kind is presented. As a basis functions truncated Legendre series is used for unknown …

[PDF][PDF] Integral mean value method for solving Fredholm integral equations of the second kind on the half line

Z Avazzadeh, M Heydari - J. Multidiscip. Eng. Sci. Stud.(JMESS), 2016 - researchgate.net
In this paper, we develop the integral mean value method (IMVM) for solving Fredholm
integral equations of the second kind on the half line. The most important point of the IMVM …

Solution methods for integral equations-a survey

IM Esuabana, UA Abasiekwere, IU Moffat - J. Math. Comput. Sci., 2020 - scik.org
The theory of integral equations has been an active field of research for many years and is
inextricably related with other areas of Mathematics such as complex and mathematical …

Mapped spectral methods and rational approximations

W REMILI - 2023 - dspace.univ-bba.dz
The main aim of this thesis is to approach the solutions of some mathematical problems in
the form of integral equations or differential equations on unbounded domains. A common …