Results 21 to 30 of about 476 (175)
Alexandria Engineering Journal, 2018 In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM ...
Osama H. Mohammed, Huda A. Salim
doaj +1 more source
Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation
Journal 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
Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator
Journal of Function Spaces, 2021 This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator.
Fatemah Mofarreh +5 more
doaj +1 more source
Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian Decomposition Methods
Surveys in Mathematics and its Applications, 2018 20 pages, 4 ...
Man Kwong Mak +2 more
openaire +4 more sources
Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations
Alexandria Engineering Journal, 2018 In the concerned article, we present the numerical solution of nonlinear coupled system of Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform coupled with Adomian decomposition method, an iterative procedure is ...
Amjad Ali, Kamal Shah, Rahmat Ali Khan
doaj +1 more source
Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]
Notes on IFSThe aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method.
Razika Ettoussi +2 more
doaj +1 more source
SOLUTION OF NONLINEAR HEAT EQUATION BY LAPLACE ADOMIAN DECOMPOSITION METHOD
, 2022 Major Advisor: Temesgen Anbessa (PhD) ABSTRACT Adomian decomposition method has been applied to solve many functional equations so far. In this thesis, we have used Adomian Decomposition Method (ADM) with the combination of Laplace transform (LT) to solve nonlinear heat equation which governs on numerous scientific and engineering experimentations ...
openaire +2 more sources
Numerical analysis of Lane Emden–Fowler equations
Journal of Taibah University for Science, 2018 This paper is devoted to the numerical solutions of Lane Emden–Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method ...
Atta Ullah, Kamal Shah
doaj +1 more source
New iterative technique for computing Fourier transforms. [PDF]
مجلة 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
The Laplace-Adomian Decomposition Method Applied to the Kundu-Eckhaus Equation
CoRR, 2017 The Kundu-Eckhaus equation is a nonlinear partial differential equation which seems in the quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics. In spite of its importance, exact solution to this nonlinear equation are rarely found in literature. In this work, we solve this equation and present a new approach to obtain the
openaire +2 more sources