Applications of differential transform method to differential-algebraic equations

F Ayaz - Applied Mathematics and Computation, 2004 - Elsevier
In this paper, numerical solution of linear differential-algebraic equations (DAEs) is
considered by differential transform method. Two different problems have been solved by …

Adomian decomposition method for solution of nonlinear differential algebraic equations

MM Hosseini - Applied mathematics and computation, 2006 - Elsevier
In [MM Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math.
Comput., in press] an efficient modification of the Adomian decomposition method was …

A novel representation of the exact solution for differential algebraic equations system using residual power‐series method

K Moaddy, M Al-Smadi, I Hashim - Discrete Dynamics in Nature …, 2015 - Wiley Online Library
We implement a relatively new analytic iterative technique to get approximate solutions of
differential algebraic equations system based on generalized Taylor series formula. The …

On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials

M Gülsu, Y Öztürk, M Sezer - Applied Mathematics and Computation, 2011 - Elsevier
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 …

Numerical method to solve chemical differential‐algebraic equations

E Çelik, E Karaduman, M Bayram - International journal of …, 2002 - Wiley Online Library
In this article, the solution of a chemical differential‐algebraic equation model of general
type F (y, y′, x)= 0 has been done using MAPLE computer algebra systems. The MAPLE …

Applications of fractional differential transform method to fractional differential-algebraic equations

B Ibis, M Bayram, AG Agargun - European Journal of Pure and Applied …, 2011 - ejpam.com
In this paper, we implement fractional differential transform method (FDTM), which is a semi
analytical numerical technique, to fractional differential-algebraic equations (FDAEs). The …

[PDF][PDF] Solution of differential-algebraic equations (DAEs) by adomian decomposition method

E Celik, M Bayram, T Yeloglu - International Journal Pure & …, 2006 - researchgate.net
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 …

Numerical solution of differential–algebraic equations with index-2

N Guzel, M Bayram - Applied Mathematics and Computation, 2006 - Elsevier
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 …

The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs)

E Çelik, M Bayram - Journal of the Franklin Institute, 2005 - Elsevier
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 …

[HTML][HTML] On solving system of differential-algebraic equations using adomian decomposition method

S Thota, P Shanmugasundaram - F1000Research, 2023 - ncbi.nlm.nih.gov
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 …