Kalman filter and its variants have been used for state estimation of systems described by
ordinary differential equation (ODE) models. While state and parameter estimation of ODE …

We implement a relatively new analytic iterative technique to get approximate solutions of
differential algebraic equations system based on generalized Taylor series formula. The …

In this paper, a numerical method which produces an approximate polynomial solution is
presented for solving Lane–Emden equations as singular initial value problems. Firstly, we …

This paper presents a new approximate method of Abel differential equation. By using the
shifted Chebyshev expansion of the unknown function, Abel differential equation is …

In this paper, we consider differential-algebraic equations (DAEs) systems. The approximate
solutions for the differential-algebraic equations (DAEs) systems are obtained by using the …

In this paper, numerical solution of differential–algebraic equations (DAEs) with index-2 has
been presented using Padé approximation method. An index reduction for differential …

In this paper, the numerical solution of differential-algebraic equations is considered by
Padé approximation method. We applied this method to an example which is a physical …

Background In this paper, we focus on an efficient and easy method for solving the given
system of differential-algebraic equations (DAEs) of second order. Methods The …

In this paper, we use power series method to solve stiff ordinary differential equations of the
first order and an ordinary differential equation of any order by converting it into a system of …

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 …