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Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional derivative. [PDF]

PLoS One
Sadaf M, Perveen Z, Akram G, Habiba U, Abbas M, Emadifar H.   +5 more
europepmc   +1 more source

Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]

Sci Rep
Aghazadeh A, Lakestani M.
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

Fuzzy fractional modeling and analysis of stochastic Fokker Planck equations under uncertainty and memory effects. [PDF]

Sci Rep
Qayyum M, Rashid W, Duraihem FZ, Ahmad E, Khan O, Saeed ST, Merga FE.   +6 more
europepmc   +1 more source

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On the convergence of Adomian decomposition method

Applied Mathematics and Computation, 2006
The paper is concerned with a method for the computation of the rate of convergence of solutions obtained by Adomian's decomposition method (ADM) and a modified version of ADM. The basic idea is to compare the ratios of successive terms in the series obtained using ADM and to use this information to derive insight into the convergence rate of the ...
M M Hosseini
exaly   +3 more sources

A reliable modification of Adomian decomposition method

Applied Mathematics and Computation, 1999
The purpose of this paper is to show that, although the modified technique needs only a slight variation from the standard Adomian method, the results are improved and the convergence of the series solution is accelerated. Some illustrative examples are treated proving the performance of the modified algorithms.
Abdul-Majid Wazwaz
exaly   +2 more sources

Adomian decomposition method with Chebyshev polynomials

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M M Hosseini
exaly   +2 more sources

The Adomian decomposition method for fuzzy system of linear equations

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T Allahviranloo
exaly   +2 more sources