In this paper, we present a reliable multistep numerical approach, so-called Multistep
Generalized Differential Transform (MsGDT), to obtain accurate approximate form solution …

This paper proposes a new approach for power system transient stability simulation, which
is based on a semi-analytical solution (SAS) of power system differential-algebraic …

This work extends the application of a modified differential transform method by providing an
approximate analytic solution to a model that describes the effect of antivirus in the spread of …

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic
equation. A SAS is a closed-form function of symbolic variables including time, the initial …

In this investigation, an effective numerical technique, called the piecewise Jacobi–Picard
iteration (PJPI) method, to find the approximate solution of nonlinear initial value problems …

Based on previous works, especially [1] and [2], we try in the present contribution to study
some new aspects of the numerical solution of the KdV equation through the standard …

This dissertation investigates two possible directions of achieving faster-than-real-time
simulation of power systems. The first direction is to develop a semi-analytical solution which …

In this paper, we present a reliable multistep numerical approach, so-called Multistep
Generalized Differential Transform (MsGDT), to obtain accurate approximate form solution …

This chapter introduces the Adomian Decomposition Method (ADM) and its application to
simulating bulk power system electromechanical dynamics. The ADM represents the …