The aim of the present analysis is to implement a relatively recent computational method,
reproducing kernel Hilbert space, for obtaining the solutions of differential algebraic systems …

This paper is focused on deriving an analytic solution for the fractional integro-differential
equations, commonly used in the mathematical modeling of various physical phenomena. In …

This paper discusses a numerical method based on Least Squares Support Vector
Machines (LS-SVMs) for solving linear time varying initial and boundary value problems in …

In this paper, we implement fractional differential transform method (FDTM), which is a semi
analytical numerical technique, to fractional differential-algebraic equations (FDAEs). The …

This study focuses on develo** an efficient and easily implemented novel technique to
solve the index‐k Hessenberg differential‐algebraic equation (DAE) with input control. The …

Momentum Press is proud to bring to you Chemical Sensors: Simulation and Modeling
Volume 4: Optical Sensors, edited by Ghenadii Korotcenkov. This is the fourth of a new multi …

This article explores enrichment to the method of Multiple Scales, in some cases extending
its applicability to periodic solutions of harmonically forced, strongly nonlinear systems. The …

The slider‐crank mechanism (SCM) is one of the most important mechanisms in modern
technology. It appears in most combustion engines including those of automobiles, trucks …

In this paper, the homotopy analysis method (HAM) has been applied for solving time-delay
Burgers equation. HAM contains the auxiliary parameter ћ, which provides us with a simple …

A two parameter mathematical model was developed to find the concentration for
immobilized enzyme systems in porous spherical particles. This model contains a non-linear …