Results 21 to 30 of about 7,330 (206)

Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods [PDF]

, 2013
In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational ...
Che Hussin, Che Haziqah, Kilicman, Adem, Mandangan, Arif   +2 more
core   +1 more source

Adomian Decomposition Method for the Radiative Micropolar Nanofluid Past a Porous Channel: An Analytical Approach

Biointerface Research in Applied Chemistry, 2022
Present analysis leads to investigate the flow of conducting micropolar nanoliquid past a porous channel. The transverse magnetic field is imposed in the normal direction of the flow.
P. Mathur, Satyaranjan Mishra
semanticscholar   +1 more source

Solving Fuzzy Nonlinear Volterra-Fredholm Integral Equations by Using Homotopy Analysis and Adomian Decomposition Methods [PDF]

, 2011
In this paper, Adomian decomposition method (ADM) and homotopy analysis method (HAM) are proposed to solving the fuzzy nonlinear Volterra-Fredholm integral equation of the second kind$(FVFIE-2)$.
Shadan Sadigh Behzadi
core   +1 more source

Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

Engineering Research Journal, 2022
In this work we use an efficient technique based on Adomian Decomposition Method (ADM) and Laplace Transform to solve non-linear integro-differential equations.
Ahmed Y. Sayed, Emad A. Sayed, Mahmoud H. Rashwan, I. L EL-KALLA   +3 more
semanticscholar   +1 more source

Numerical prediction of the energy efficiency of the three-dimensional fish school using the discretized Adomian decomposition method

Results in Physics, 2018
A three-dimensional modeling of fish school performed by a modified Adomian decomposition method (ADM) discretized by the finite difference method is proposed.
Yinwei Lin, Jing-Tang Yang, Ruimin Chen
doaj   +1 more source

Correlation between Adomian and Partial Exponential Bell Polynomials [PDF]

, 2017
We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the $n$-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial ...
Kataria, K. K., Vellaisamy, P.
core   +3 more sources

Solution of nonlinear partial differential Equations by adomian decomposition method

STUDIES IN ENGINEERING AND EXACT SCIENCES, 2022
In this paper we introduce a relatively new method, based on Adomian decom- position method (ADM), for solving nonlinear partial differential equations (NPDE).
Oswaldo Gonzalez Gaxiola
semanticscholar   +1 more source

Buckling Analysis of Cantilever Nanoactuators Immersed in an Electrolyte: A Close Form Solution Using Duan-Rach Modified Adomian Decomposition Method

Journal of Applied and Computational Mechanics, 2015
A new modified Adomian Decomposition Method (ADM) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes.
Mohammad Ghalambaz, Mehdi Ghalambaz, Mohammad Edalatifar   +2 more
doaj   +1 more source

Adomian decomposition method for modelling the dissipative higher-order rogue waves in a superthermal collisional plasma

Journal of Taibah University for Science, 2021
A reductive perturbation technique (the derivative expansion technique (DET)) is employed to derive a linear damped nonlinear Schrödinger equation (LDNLSE) for investigating the feature properties of the dissipative modulated nonlinear dust-acoustic ...
N. Aljahdaly, S. El-Tantawy, A. Wazwaz, H. A. Ashi   +3 more
semanticscholar   +1 more source

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Abstract and Applied Analysis, 2013
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
doaj   +1 more source