Superconvergence results for non-linear Hammerstein integral equations on unbounded domain
R Nigam, N Nahid, S Chakraborty, G Nelakanti - Numerical Algorithms, 2023 - Springer
Many physical problems represented as initial and boundary value problems are usually
solved by transforming them into integral equations on the half-line. Therefore, this paper …
solved by transforming them into integral equations on the half-line. Therefore, this paper …
[PDF][PDF] Approximation of weakly singular non-linear volterraurysohn integral equations by piecewise polynomial projection methods based on graded mesh
In this article, we address the approximation solution of Volterra-Urysohn integral equations
which involves weakly singular kernels. In order to get better convergence rates, projection …
which involves weakly singular kernels. In order to get better convergence rates, projection …
Jacobi spectral methods for Volterra-Urysohn integral equations of second kind with weakly singular kernels
K Kant, G Nelakanti - Numerical Functional Analysis and …, 2019 - Taylor & Francis
In this article, we discuss Jacobi spectral Galerkin and iterated Jacobi spectral Galerkin
methods for Volterra-Urysohn integral equations with weakly singular kernels and obtain the …
methods for Volterra-Urysohn integral equations with weakly singular kernels and obtain the …
Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type
M Mandal, G Nelakanti - The Journal of Analysis, 2020 - Springer
In this paper, we discuss the superconvergence of the Galerkin solutions for second kind
nonlinear integral equations of Volterra–Hammerstein type with a smooth kernel. Using …
nonlinear integral equations of Volterra–Hammerstein type with a smooth kernel. Using …
Projection and multi-projection methods for second kind Volterra-Hammerstein integral equation
In this article, we discuss the piecewise polynomial based Galerkin method to approximate
the solutions of second kind Volterra-Hammerstein integral equations. We discuss the …
the solutions of second kind Volterra-Hammerstein integral equations. We discuss the …