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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Improved Adomian decomposition method
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tamer A Abassy
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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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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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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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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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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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