The primary goal of this work is to solve the problem drug diffusion through a thin membrane using differential quadrature approach with drastically different shape functions, such as Lagrange interpolation and discrete singular convolution (the delta kernel regularized Shannon kernel). A nonlinear partial equation two time- space-dependent variables governs system. To reduce independent by one...

Corresponding Author: E.R. El-Zahar Department of Mathematics, Sciences and Humanities College, Salman Bin Abdulaziz University, Alkharj, 11942, KSA Email: [email protected] Abstract: In this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which ar...

For dynamic security assessment considering uncertainties in grid operations, this paper proposes an approach for time-domain simulation of a power system having stochastic loads. The proposed approach solves a stochastic differential equation model of the power system in a semi-analytical way using the Adomian decomposition method. The approach generates semi-analytical solutions expressing bo...