Results 51 to 60 of about 7,330 (206)

The Adomian Decomposition Method with Discretization for Second Order Initial Value Problems [PDF]

open access: yes, 2019
In this paper, Adomian Decomposition Method with Discretization (ADMD) is applied to solve both linear and nonlinear initial value problems (IVP). Comparison with Adomian Decomposition Method (ADM) is presented.
Andargie, Awoke   +1 more
core   +2 more sources

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

open access: yesAsia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu   +3 more
wiley   +1 more source

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

open access: yesAbstract and Applied Analysis, 2012
We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman
doaj   +1 more source

Exact Solution of Space-Time Fractional Partial Differential Equations by Adomian Decomposition Method

open access: yes, 2021
The intention behind this paper is to achieve exact solution of one dimensional nonlinear fractional partial differential equation(NFPDE) by using Adomian decomposition method(ADM) with suitable initial value.
Vidya N. Bhadgaonkar, B. Sontakke
semanticscholar   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan   +3 more
wiley   +1 more source

Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method

open access: yesThe Scientific World Journal, 2014
We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately.
Randhir Singh   +2 more
doaj   +1 more source

Simple Parametrization Methods for Generating Adomian Polynomials

open access: yes, 2016
In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions einx, where n is an integer.
Kataria, K. K., Vellaisamy, P.
core   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali   +2 more
wiley   +1 more source

On Distributions of Certain State Dependent Fractional Point Processes

open access: yes, 2018
We obtain the explicit expressions for the state probabilities of various state dependent fractional point processes recently introduced and studied by Garra et al. (2015).
Kataria, K. K., Vellaisamy, P.
core   +1 more source

Solution of typhoid fever model by Adomian decomposition method

open access: yes, 2021
SOLUTION OF TYPHOID FEVER MODEL BY ADOMIAN DECOMPOSITION METHOD AJIMOT FOLASADE ADEBISI1,*, OHIGWEREN AIRENONI UWAHEREN2, OLUSOLA EZEKIEL ABOLARIN3, MUSILIU TAYO RAJI4, JOSEPH A.
A. F. Adebisi   +5 more
semanticscholar   +1 more source

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