Taylor Series for Adomian Decomposition Method [PDF]
International Journal of Computer Mathematics, 2011 In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more
Kutafina, Ekaterina
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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.
Paul GC +6 more
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Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method [PDF]
Scientific Reports, 2023 In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source.
Noor Jamal +4 more
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Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [PDF]
Entropy, 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Rasool Shah +3 more
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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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Theoretical analysis of -transform decomposition method with applications of nonlinear ordinary differential equations [PDF]
Science ProgressOne of the most noteworthy differential equations of the first order is the Riccati differential equation. It is applied in various branches of mathematics, including algebraic geometry, physics, and conformal mapping theory.
Nazek A Obeidat +2 more
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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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