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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…
-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…