Results 81 to 90 of about 111,766 (161)

NEW FORMULATION OF ADOMIAN POLYNOMIALS APPLIED TO HAMILTON-JACOBI EQUATIONS

, 2003
We give in this paper a new formulation of Adomian polynomials which intervene in the calculation of the terms of the Adomian series, in a case of nonlinear operator depending not only on the variable u, but also of its derivatives in space $\frac ...
Mampassi, Benjamin, Birregah, B., Birregah, Babiga, Some, Blaise   +3 more
core  

Smooth polynomial expansions of piecewise-differentiable functions [PDF]

, 1989
This paper proposes an extension of the expansions of analytic functions in the An polynomials defined by Adomian [1] to consider piecewise-differentiable ...
Adomian, G., Rach, R.
core   +1 more source

Characteristic polynomials of complex random matrix models [PDF]

, 2002
We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G, Vernizzi, G, Vernizzi, G., Akemann, Gernot   +3 more
core   +1 more source

Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations

Journal of Applied Mathematics, 2018
In this paper, we used Bernstein polynomials to modify the Adomian decomposition method which can be used to solve linear and nonlinear equations. This scheme is tested for four examples from ordinary and partial differential equations; furthermore, the ...
Ahmed Farooq Qasim, Ekhlass S. AL-Rawi
doaj   +1 more source

Numerical analysis of a simplest fractional-order hyperchaotic system

Theoretical and Applied Mechanics Letters, 2019
In this paper, a simplest fractional-order hyperchaotic (SFOH) system is obtained when the fractional calculus is applied to the piecewise-linear hyperchaotic system, which possesses seven terms without any quadratic or higher-order polynomials.
Dong Peng, Kehui Sun, Shaobo He, Limin Zhang, Abdulaziz O.A. Alamodi   +4 more
doaj   +1 more source

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]

, 2011
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Robert C. Griffiths, Spanò, Dario, Griffiths, Robert C., Dario Spanò   +3 more
core   +1 more source

Exploring a Novel Multi-Stage Differential Transform Method Coupled with Adomian Polynomials for Solving Implicit Nonlinear ODEs with Analytical Solutions

Mathematics
In engineering, physics, and other fields, implicit ordinary differential equations are essential to simulate complex systems. However, because of their intrinsic nonlinearity and difficulty separating higher-order derivatives, implicit ordinary ...
Brahim Benhammouda, Hector Vazquez-Leal
doaj   +1 more source

Mathematical analysis of fractional-order convection–reaction–diffusion equations under the Caputo fractional derivative

Frontiers in Physics
The main objective of this study is to employ two unique methods to approximately solve time-fractional convection–reaction–diffusion equations (CRDEs). The suggested techniques combine the Adomian decomposition approach, the homotopy perturbation method,
Mashael M. AlBaidani
doaj   +1 more source

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method

MANAS: Journal of Engineering, 2017
In this paper, we consider mostly the inhomogeneous Fitzhugh-Nagumo-Huxley equation with its initial value. Adomian Decomposition Method (ADM), Modified Decomposition Method (MDM) and Laplace Decomposition Method (LDM) are applied to this equation to ...
Ömer Faruh Gözükızıl, Hami Gündoğdu   +1 more
doaj  

Presentation of the efficient scheme for solving fractional order telegraph problems

Partial Differential Equations in Applied Mathematics
The Asymptotic Homotopy Perturbation Transform Method AHPTM is presented in this work. It is combined version of the Asymptotic Homotopy Perturbation Method AHPM and Laplace transformation.
Wasim Sajjad Hussain, Sajjad Ali, Nahid Fatima, Kamal Shah, Thabet Abdeljawad   +4 more
doaj   +1 more source