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Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems
For the nonlinear periodic boundary-value problem posed for an ordinary differential equation in the critical and noncritical cases, we obtain...
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Analytical solution of a class of Lane–Emden equations: Adomian decomposition method
In this paper, the analytical solution of a class of Lane–Emden equation is considered using the Adomian decomposition method. The nonlinear term of...
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A modified fuzzy Adomian decomposition method for solving time-fuzzy fractional partial differential equations with initial and boundary conditions
This research article introduces a novel approach based on the fuzzy Adomian decomposition method (FADM) to solve specific time fuzzy fractional...
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Recent Development of Adomian Decomposition Method for Ordinary and Partial Differential Equations
This article reviews the Adomian decomposition method (ADM) and its developments to handle singular and non-singular initial, boundary value problems...
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Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method
This paper studies a system of nonlinear fractional differential equations (FDEs) with deviated arguments. Many linear and nonlinear problems are...
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A Solution of Fractional Bio-Chemical Reaction Model by Adomian Decomposition Method
This paper focuses on the modeling of the bio-chemical reaction viz anaerobic digestion which is biochemical process of producing biogas which is the...
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Homotopy perturbation and adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models
This article presents analytic approximate solutions of the condensing coagulation model (CCM) and Lifshitz-Slyzov equation (LSE) using two different...
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Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method
Operational risk is one of the common risks in organizations, especially in banks, which has a wide range of errors in individual performance or...
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On the development of Adomian decomposition method for solving PDE systems with non-prescribed data
The paper’s objective is to present the development of a symbolic methodology which is based on the well-known Adomian decomposition method (ADM) to...
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Shehu-Adomian Decomposition Method for Dispersive KdV-Type Equations
In this paper, a new method known to be Shehu-Adomian decomposition method is proposed to solve homogeneous and non-homogeneous dispersive KdV-type...
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Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
This article deals with two different methods to solve a time fractional partial integro-differential equation. The fractional derivatives are...
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Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients
In this paper, the modified integral equation, namely, Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian...
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Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation
The current paper concentrates on discovering the exact solutions of the time-fractional regular and singular coupled Burger’s equations by involving...
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A New Approach for Non-linear Fractional Heat Transfer Model by Adomian Decomposition Method
In this paper, the attempt has been made to obtain the dual solution of heat conduction and mass transfer model which is in the form of non-linear...
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Adomian’s Decomposition Method in the Theory of Nonlinear Autonomous Boundary-Value Problems
For a nonlinear autonomous boundary-value problem posed for an ordinary differential equation in the critical case, we establish constructive...
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Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method
By using a nonlinear method, we try to solve partial fractional differential equations. In this way, we construct the Laguerre wavelets operational...
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Development of a Model for the Process of Anaerobic Digestion and Its Solution by the Modified Adomian Decomposition Method
Modeling the transformation of biomass into biogas is complex, because it involves a nonlinear and coupled set of ordinary differential equations....
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Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method
This article aims to present a simple and effective method, named as advanced Adomian decomposition method, to attain the approximate solution of...
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A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method
The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a...
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Fixed-Point Theorems Based Evaluation of Analytical Solution in Fractional Diffusion Equations
The definition of fractional calculus is a careful study conducted by experts in a variety of technical and scientific fields. Fractional calculus is...