R. Pourgholi
Associate Professor, School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364, Damghan, Iran. Web address:http://faculty.du.ac.ir/pourgholi/
[ 1 ] - Solving random inverse heat conduction problems using PSO and genetic algorithms
The main purpose of this paper is to solve an inverse random differential equation problem using evolutionary algorithms. Particle Swarm Algorithm and Genetic Algorithm are two algorithms that are used in this paper. In this paper, we solve the inverse problem by solving the inverse random differential equation using Crank-Nicholson's method. Then, using the particle swarm optimization algorith...
[ 2 ] - Solving a nonlinear inverse system of Burgers equations
By applying finite difference formula to time discretization and the cubic B-splines for spatial variable, a numerical method for solving the inverse system of Burgers equations is presented. Also, the convergence analysis and stability for this problem are investigated and the order of convergence is obtained. By using two test problems, the accuracy of presented method is verified. Additional...
[ 3 ] - Segmentation Assisted Object Distinction for Direct Volume Rendering
Ray Casting is a direct volume rendering technique for visualizing 3D arrays of sampled data. It has vital applications in medical and biological imaging. Nevertheless, it is inherently open to cluttered classification results. It suffers from overlapping transfer function values and lacks a sufficiently powerful voxel parsing mechanism for object distinction. In this work, we are proposing an ...
[ 4 ] - Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel
In this work, the convection-diffusion integro-differential equation with a weakly singular kernel is discussed. The Legendre spectral tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices....
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