Results 11 to 20 of about 334 (167)

New iterative technique for computing Fourier transforms. [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2023
The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
doaj   +1 more source

An Effective New Iterative Method to Solve Conformable Cauchy Reaction-Diffusion Equation via the Shehu Transform

open access: yesJournal of Mathematics, 2022
For the first time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-diffusion equations (CRDEs) in the sense of conformable derivative (CD).
Shahram Rezapour   +2 more
doaj   +1 more source

The Fractional Series Solutions for the Conformable Time-Fractional Swift-Hohenberg Equation through the Conformable Shehu Daftardar-Jafari Approach with Comparative Analysis

open access: yesJournal of Mathematics, 2022
The major objective of this study is to derive fractional series solutions of the time-fractional Swift-Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar-Jafari approach (DJA)
Muhammad Imran Liaqat, Eric Okyere
doaj   +1 more source

Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation

open access: yesJournal of Applied Mathematics, 2021
The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can
Metomou Richard, Weidong Zhao
doaj   +1 more source

Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator

open access: yesJournal of Function Spaces, 2022
In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method.
Saleh Alshammari   +2 more
doaj   +1 more source

Modified Adomian Polynomials

open access: yesMathematical and Computer Modelling, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adomian, G., Rach, R.
openaire   +1 more source

Solving the Systems of Equations of Lane-Emden Type by Differential Transform Method Coupled with Adomian Polynomials

open access: yesMathematics, 2019
In this work, we applied the improved differential transform method to find the solutions of the systems of equations of Lane-Emden type arising in various physical models.
Lie-jun Xie, Cai-lian Zhou, Song Xu
doaj   +1 more source

A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems

open access: yesDiscrete Dynamics in Nature and Society, 2022
Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. These DAEs are known to pose a challenge to numerical methods. The purpose of this paper
Brahim Benhammouda
doaj   +1 more source

A New Algorithm to Determine Adomian Polynomials for Nonlinear Polynomial Functions

open access: yesSSRN Electronic Journal, 2023
We present a new algorithm by which the Adomian polynomials can be determined for scalar-valued nonlinear polynomial functional in a Hilbert space. This algorithm calculates the Adomian polynomials without the complicated operations such as parametrization, expansion, regrouping, differentiation, etc. The algorithm involves only some matrix operations.
openaire   +2 more sources

Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet

open access: yesInternational Journal of Applied Mechanics and Engineering, 2013
In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field.
O.D. Makinde   +2 more
doaj   +1 more source

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