Results 191 to 200 of about 498,085 (213)

Adomian decomposition method by Legendre polynomials

Chaos, Solitons & Fractals, 2009
Abstract In this paper, an efficient modification of the Adomian decomposition method by using Legendre polynomials is presented. Both linear and non-linear models are suited for the proposed method. Some examples here in are solved by using this method and this paper will demonstrate that the results are more reliable and efficient.
Wei-Chung Tien, Cha’o-Kuang Chen
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He's Homotopy Perturbation Method for Calculating Adomian Polynomials

International Journal of Nonlinear Sciences and Numerical Simulation, 2007
Asghar Ghorbani, Jafar Saberi-Nadjafi
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A Simplified Hybrid Analytical Method for Solving Integer and Fractional-Order Differential Equations without Adomian Polynomials or Lagrange Multipliers

Asian Journal of Science, Technology, Engineering, and Art
In this study, we propose a novel hybrid analytical technique that combines the Adomian Decomposition Method (ADM) with the Variational Iteration Method (VIM) to solve a class of linear and nonlinear first-order initial value problems (IVPs), including ...
O. O., Cornelius M., A. I., Jeremiah A., Nasir U. M., H. U., Abichele O.   +6 more
semanticscholar   +1 more source

Semi-Analytical Solutions of Asset Flow Differential Equations Using an Enhanced DTM-Adomian Polynomials

International Journal of Mathematical and Computer Sciences
In this paper, we solve an asset flow differential equations (AFDEs) system, which plays an important role in financial modeling and market dynamics, using an improved differential transform method (DTM). The improved method combines the conventional DTM
Kamonchat Trachoo, Inthira Chaiya, Din Prathumwan   +2 more
semanticscholar   +1 more source

On the Numerical Solutions of Linear and Nonlinear Differential Equations by the Modified Laplace–Adomian Polynomials Method

Mikailalsys Journal of Mathematics and Statistics
This study employs the Laplace–Adomian Polynomial Method (LAPM) to obtain approximate solutions for both linear and nonlinear ordinary differential equations.
J. O. Okai, Iliya Martha, M. Adamu, U. A. Mujahid, L. N. Sanda   +4 more
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IRPSM with Adomian polynomials: an innovative step toward efficiently solving higher-order BVPs

Engineering computations
PurposeIn this article, the applications of the improved residual power series method (IRPSM) and its enhanced version incorporating Adomian polynomials (AP) to solve boundary value problems (BVPs) of higher orders are presented.Design/methodology ...
Abdullah Dawar, Hamid Khan, Muhammad Ullah   +2 more
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DOUBLE ELZAKI TRANSFORM AND ADOMIAN POLYNOMIALS FOR SOLVING SOME PDEs

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
In this research, we provide novel methods for analyzing some models of PDEs that occur in a wide range of scientific and engineering applications. Adomian polynomials have been utilized for this purpose.
Inderdeep Singh, Parvinder Kaur
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Solving systems of fractional differential equations by modified fractional differential transform method with adomian polynomials

Journal of Interdisciplinary Mathematics
In this article, we use a new algorithm as FDT with Adomian polynomials is carried out for solving systems of non-linear fractional differential equations.
R. Teppawar, R. Ingle, R. A. Muneshwar
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On The Reduced Form Of The Adomian Polynomials For The Solutions Of Nonlinear Fractional-Order Volterra Integro-Differential Equations

, 2020
In this work, we amplify a reliable modification of the Adomian decomposition method as provided in [1, 2, 3] by introducing the reduced form of the Adomian polynomial to replace the original polynomials for handling the nonlinear components and ...
Okai J.O., A. M. Kwami, M. Abubakar, A. M. Monsuru   +3 more
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A mathematical model of Adomian polynomials

Applied Mathematics and Computation, 2003
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