The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs
O Abu Arqub, H Rashaideh - Neural Computing and Applications, 2018 - Springer
Many problems arising in different fields of sciences and engineering can be reduced, by
applying some appropriate discretization, either to a system of integrodifferential algebraic …
applying some appropriate discretization, either to a system of integrodifferential algebraic …
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 …
considered by differential transform method. Two different problems have been solved by …
The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations
OA Arqub - Mathematical Methods in the Applied Sciences, 2016 - Wiley Online Library
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 …
reproducing kernel Hilbert space, for obtaining the solutions of differential algebraic systems …
Approximate solutions of DASs with nonclassical boundary conditions using novel reproducing kernel algorithm
OA Arqub - Fundamenta Informaticae, 2016 - content.iospress.com
This paper presents novel reproducing kernel algorithm for obtaining the numerical
solutions of differential algebraic systems with nonclassical boundary conditions for ordinary …
solutions of differential algebraic systems with nonclassical boundary conditions for ordinary …
A novel representation of the exact solution for differential algebraic equations system using residual power‐series method
We implement a relatively new analytic iterative technique to get approximate solutions of
differential algebraic equations system based on generalized Taylor series formula. The …
differential algebraic equations system based on generalized Taylor series formula. The …
Numerical method to solve chemical differential‐algebraic equations
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 …
type F (y, y′, x)= 0 has been done using MAPLE computer algebra systems. The MAPLE …
[HTML][HTML] A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM–Padé technique
In this paper, the Adomian decomposition method and Padé approximants are integrated to
study the deflection and pull-in instability of nanocantilever electromechanical switches. In a …
study the deflection and pull-in instability of nanocantilever electromechanical switches. In a …
[PDF][PDF] Numerical solution of Duffing equation by the differential transform method
K Tabatabaei, E Gunerhan - Appl. Math. Inf. Sci. Lett, 2014 - naturalspublishing.com
In this article, Differential transform method is presented for solving Duffing equations. We
apply these method to three examples. First Duffing equation has been converted to power …
apply these method to three examples. First Duffing equation has been converted to power …
On the numerical solution of stiff systems
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 …
first order and an ordinary differential equation of any order by converting it into a system of …
Numerical solutions of chemical differential-algebraic equations
In this paper, the solution for a chemical differential algebraic equation (DAE) can be
expanded up to arbitrary order using MAPLE computer algebra systems. First we calculate …
expanded up to arbitrary order using MAPLE computer algebra systems. First we calculate …