Iman Isho Gorial

• Msc
• University of Technology - Iraq

In this paper, an analytical solution of the fractional dispersion equation has been presented. The algorithm for the analytical solution for this equation is based on modified decomposition method. The fractional derivative is described in Caputo's sense. The analytical method has been applied to solve a practical example and the results have been...

The aims of this paper are to propose mixed fractional derivative, clarify the problems suggested by the tacit approach of finite difference, and the study of consistency, stability, and convergence methods. An effective computational approach for solving Factional Percolation Equations Riesz Space Mixed Fractional Derivative (FPERSMFD) using Impli...

In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional dispersion equation. The algorithm for the numerical solution of this equation is based on explicit finite difference approximation. Consistency, conditional stability, and convergence of this numerical method are described. Finally, numer...

In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional partial differential equation with parameter. The algorithm for the numerical solution of this equation is based on implicit and an explicit difference method. Finally, numerical example is provided to illustrate that the numerical method...

In this paper we introduce the numerical solutions of two-sided fractional partial differential equations with or without parameter. The algorithm for the numerical solution for these equations is based on finite difference method. Finally, some numerical examples are provided to show that the numerical method for solving these cases is an effectiv...

In this paper, we introduce and discuss an algorithm for the numerical solution of some kinds of fractional integral and fractional integrodifferential equations. The algorithm for the numerical solution of these equations is based on iterative approach. The stability and convergence of the fractional order numerical method are described. Finally,...