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Taylor series for the Adomian decomposition method [PDF]
International Journal of Computer Mathematics, 2011 9 ...
Kutafina, Ekaterina
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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
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Adomian decomposition method for nonlinear Sturm-Liouville problems [PDF]
Surveys in Mathematics and its Applications, 2007 In this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem-y" + y(t)p=λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, where p > 1 is a constant and λ > 0 is an eigenvalue parameter.
Sennur Somali, Guzin Gokmen
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Jambura Journal of Mathematics, 2023 The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming.
Kabiru Oyeleye Kareem +5 more
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ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD [PDF]
Matrix Science Mathematic, 2019 In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear ...
Muhammmad Ikram +2 more
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A New Decomposition Method for Integro-Differential Equations
Cumhuriyet Science Journal, 2022 This present study developed a new Modified Adomian Decomposition Method (MADM) for integro-differential equations. The modification was carried out by decomposing the source term function into series.
Kabiru Kareem, Morufu Oyedunsi Olayiwola
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Solving protoplanetary structure equations using Adomian decomposition method [PDF]
Heliyon, 2021 In this paper, the distribution of thermodynamic variables in the protoplanets formed by gravitational instability in the mass range 0.3 - 10 M J ( 1 M J = 1 Jupiter mass = 1.8986 × 10 30 gm) is investigated in their initial state by solving the structure equations via the Adomian decomposition method.
Gour Chandra Paul +6 more
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Adomian Decomposition Tarig Transform Method
Journal of Physics: Conference Series, 2022 Abstract Adomian decomposition Tarig transform technique (ADTTM) is a new variant of the A domian decomposition method for solving various models of partial differential equations. The Adomian decomposition method and the Tarig transform are combined in the ADTTM. The research makes extensive use of concrete instances.
N H Shaheed, Y Muhammad
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Journal of Nigerian Society of Physical Sciences, 2020 In this paper, we compare the solution of the van der Pol equation obtained by using the truncated Taylor series method and the modified Adomian decomposition method with the solution obtained by the Poincare-Lindstedt (P-L) method.
Joel Ndam, O. Adedire
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Modified Variational Iteration Technique for the Numerical Solution of Fifth Order KdV-type Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 In this article, a simple and new algorithm is proposed, namely the modified variational iteration algorithm-I (mVIA-I), for obtaining numerical solutions to different types of fifth-order Korteweg de-Vries (KdV) equations.
Hijaz Ahmad +3 more
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