2 citations · 4 across the 5 of their papers we have counts for
8 papers
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
Martin Costabel, Monique Dauge, Khadijeh Nedaiasl
Motivated by the discrete dipole approximation (DDA) for the scattering of electromagnetic waves by a dielectric obstacle that can be considered as a simple discretization of a Lip…
Numerical Simulation and the Universality Class of the KPZ Equation for Curved Substrates
Roya Ebrahimi Viand, Sina Dortaj, Seyyed Ehsan Nedaaee Oskoee +2
The Kardar-Parisi-Zhang (KPZ) equation for surface growth has been analyzed for over three decades. Some experiments indicated the power law for the interface width, …
Numerical Solution of Nonlinear Abel Integral Equations: An -Version Collocation Approach
Raziyeh Dehbozorgi, Khadijeh Nedaiasl
This paper is concerned with the numerical solution for a class of nonlinear weakly singular Volterra integral equation of the first kind. The existence and uniqueness issue of the…
Galerkin Finite Element Method for Nonlinear Fractional Differential Equations
Khadijeh Nedaiasl, Raziyeh Dehbozorgi
In this paper, we study the existence, regularity, and approximation of the solution for a class of nonlinear fractional differential equations. {In order to do this}, suitable var…
Approximation of Weakly Singular Integral Equations by Sinc Projection Methods
Khadijeh Nedaiasl
In this paper, two numerical schemes for a nonlinear integral equation of Fredholm type with weakly singular kernel are proposed. These numerical methods combine sinc-collocation a…
-version collocation method for a class of nonlinear Volterra integral equations of the first kind
Khadijeh Nedaiasl, Raziyeh Dehbozorgi, Khosrow Maleknejad
In this paper, we present a collocation method for nonlinear Volterra integral equation of the first kind. This method benefits from the idea of -version projection methods. We…
A Product Integration Method for the Approximation of the Early Exercise Boundary in the American Option Pricing Problem
Khadijeh Nedaiasl, Ali Foroush Bastani, Aysan Rafiee
In this paper, an integral equation representation for the early exercise boundary of an American option contract is considered. Thus far, a number of different techniques have bee…
A Fully Discrete Galerkin Method for Abel-type Integral Equations
Urs Vögeli, Khadijeh Nedaiasl, Stefan A. Sauter
In this paper, we present a Galerkin method for Abel-type integral equation with a general class of kernel. Stability and quasi-optimal convergence estimates are derived in raction…