A numerical method for solving nonlinear initial-value problems is proposed. The Lane–
Emden type equations which have many applications in mathematical physics are then …

The paper presents a new methodology for calculating magnetizing inrush currents.
Similarly to the seminal work of Rajakovic and Semlyen, all the calculations are conducted …

In this research, two main objectives about solving the space time dependent diffusion
equations are addressed. The first is to present higher order finite difference schemes at the …

A numerical method for solving Volterra's population model for population growth of a
species in a closed system is proposed. Volterra's model is a nonlinear integro‐differential …

In this paper, a numerical technique based on the Hartley series for solving a class of time-
delayed optimal control problems (TDOCPs) is introduced. The main idea is converting such …

In this work, new accurate solutions based on Hartley series expansion for temporal
calculations and higher order finite difference schemes for space derivative calculations are …

An approximate method for solving Volterra's population model for population growth of a
species in a closed system is proposed. Volterra's model is a nonlinear integro-differential …

An approximate method for solving parabolic equations with a periodic boundary condition
is proposed. The method is based upon using the Legendre series and the Hartley series to …

A direct Ritz method for solving variational problems with fixed and free boundary conditions
is demonstrated. Walsh-hybrid method bases are used as the basis functions. It is shown …

This paper presents a frequency domain based methodology using Walsh series, the
method can be used to make a parameter identification of time-varying linear systems and …