Fariba Takhtabnoos
Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran
[ 1 ] - A new iteration method for solving a class of Hammerstein type integral equations system
In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bou...
[ 2 ] - A Local Strong form Meshless Method for Solving 2D time-Dependent Schrödinger Equations
This paper deals with the numerical solutions of the 2D time dependent Schr¨odinger equations by using a local strong form meshless method. The time variable is discretized by a finite difference scheme. Then, in the resultant elliptic type PDEs, special variable is discretized with a local radial basis function (RBF) methods for which the PDE operator is also imposed in the local matrices. Des...
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