Electrical engineering models can typically be simulated with a circuit of interconnected
electrical components containing electrically charged particles that can be moved from atom …

A powerful analytical approach, namely the fractional residual power series method (FRPS),
is applied successfully in this work to solving a class of fractional stiff systems. The …

An optimized one-step hybrid block method for the numerical solution of first-order initial
value problems is presented. The method takes into consideration three hybrid points which …

In this paper, an efficient multi-step scheme is presented based on reproducing kernel
Hilbert space (RKHS) theory for solving ordinary stiff differential systems. The solution …

Singular problems with discontinuities or steep gradients challenge traditional numerical
integration methods. This study introduces the Rational Multi-Derivative Integrator (RMDI) …

In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff
systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified …

In this work, a one-step L-stable Block Hybrid Multistep Method (BHMM) of order five was
developed. The method is constructed for solving first order Ordinary Differential Equations …

A second derivative trigonometrically fitted block backward differentiation formula
(SDTFBBDF) based on the collocation technique is proposed in this paper. The method is …

Electrical engineering models often rely on complex circuit configurations that facilitate the
dynamic flow of electrically charged particles within a closed conductive network. These …

The many problems of the different fields of nature are reduce to solve initialvalue problem
for the both Ordinary Differential Equation and Volterra integro-differential equation and also …