Results 101 to 110 of about 541 (198)

Higher-order numeric Wazwaz–El-Sayed modified Adomian decomposition algorithms

, 2012
In this paper, we develop new numeric modified Adomian decomposition algorithms by using the Wazwaz–El-Sayed modified decomposition recursion scheme, and investigate their practicality and efficiency for several nonlinear examples.
Rach, Randolph, Duan, Jun-Sheng
core   +1 more source

A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations

Advances in Mathematical Physics
Several scientific areas utilize fractional nonlinear partial differential equations (PDEs) to model various phenomena, yet most of these equations lack exact solutions (Ex-Ss).
Muhammad Imran Liaqat, Adnan Khan, Hafiz Muhammad Anjum, Gregory Abe-I-Kpeng, Emad E. Mahmoud   +4 more
doaj   +1 more source

Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels. [PDF]

Sci Rep, 2023
Alsallami SAM, Maneea M, Khalil EM, Abdel-Khalek S, Ali KK.   +4 more
europepmc   +1 more source

Modified variational iteration method for solving nonlinear partial differential equation using Adomian polynomials [PDF]

, 2019
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, KenyaThe aim of this paper is to solve numerically the Cauchy problems of nonlinear partial differential ...
Obihia, Austine, Ojobor, Sunday Amaju
core  

Application of He’s Variational Iteration Method for solving the Equation Governing the Unsteady Flow of a Polytropic Gas

Journal of Mathematical Extension, 2009
In this paper, He’s variational iteration method (VIM) is used to obtain the exact solution of the Equation Governing the Unsteady Flow of a Polytropic Gas.
M. Matinfar, S. JafarNodeh
doaj  

A New Modified Adomian Decomposition Method for Higher-Order Nonlinear Dynamical Systems

, 2013
In this paper, we propose a new modification of the Adomian decomposition method for solution of higher-order nonlinear initial value problems with variable system coefficients and solutions of systems of coupled nonlinear initial value problems.
Jun-Sheng Duan, Abdul-Majid Wazwaz, Randolph Rach   +2 more
core   +1 more source

A Piecewise Linear Approach for Implementing Fractional-Order Multi-Scroll Chaotic Systems on ARMs and FPGAs

Fractal and Fractional
This manuscript introduces a piecewise linear decomposition method devoted to a class of fractional-order dynamical systems composed of piecewise linear (PWL) functions.
Daniel Clemente-López, Jesus M. Munoz-Pacheco, Ernesto Zambrano-Serrano, Olga G. Félix Beltrán, Jose de Jesus Rangel-Magdaleno   +4 more
doaj   +1 more source

Comparison projection method with Adomian\u27s decomposition method for solving system of integral equations

, 2011
System of integral equations have been solved in many papers. In particular, systems of integral equations with degenerate kernels have been solved with Adomian\u27s decomposition method by some authors.
Husna Zayadi
core  

SOLUTION OF FRACTIONAL BURGERS EQUATION BY TWO INTEGRAL TRANSFORM BASED SEMI ANALYTICAL METHODS

Academy Journal of Science and Engineering
This study is concerned with the solution to a family of problems in mathematical physics referred to as Burgers equation. The fractional order Burgers equation considered is a nonlinear problem and can therefore not be solved by using any of the known ...
Babatunde Morufu Yisa, Noah A. Adelabu
doaj   +1 more source

Solution of nonlinear higher-index Hessenberg DAEs by Adomian polynomials and differential transform method. [PDF]

Springerplus, 2015
Benhammouda B.
europepmc   +1 more source