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 developing an efficient and easily implemented novel technique to
solve the index‐k Hessenberg differential‐algebraic equation (DAE) with input control. The …

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 …

This research investigates differential‐algebraic equations with higher index (index four).
Specifically, a functional analytic approach is proposed to find the solution of (index four) …

To find consistent initial data points for a system of differential-algebraic equations, requires
the identification of its missing constraints. An efficient class of structural methods exploiting …

Based on the theory of variational formulation, we find an approximate solution to index-4
time-invariant linear differential-algebraic control equations. The critical points are subject to …