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Cited by 21 publications
(7 citation statements)
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“…For more details on the theory and application of the ADM, the reader is advised to consult references [19][20][21][22][23][24][25][26][27][28][29][30][31][32], and particularly [33][34][35][36][37][38][39] for applications in chemical engineering.…”
Section: Analysis Of the Adomian Decomposition Methodsmentioning
confidence: 99%
“…For more details on the theory and application of the ADM, the reader is advised to consult references [19][20][21][22][23][24][25][26][27][28][29][30][31][32], and particularly [33][34][35][36][37][38][39] for applications in chemical engineering.…”
Section: Analysis Of the Adomian Decomposition Methodsmentioning
confidence: 99%
“…These equations occur in different fields of the sciences. The solution methods of the Abel integral equations are collocation methods [9][10][11][12][13], Adomian decomposition methods [14][15][16], homotopy perturbation methods [17], quadrature methods [18][19][20], homotopy analysis methods [21], and Laplace transform methods [22][23][24][25][26]. Besides, Abel integral equations are also solved by using Chebyshev [27][28][29], Legendre [30,31], Taylor [32], Bernstein [33,34], Block-Pulse [35], and Laguerre [36] functions.…”
Section: Introductionmentioning
confidence: 99%
“…Special integral equations such as weakly-singular Volterra integro-differential equations, Abel integral equations and some types of linear and nonlinear integral equations of the first kind have been transformed into a canonical form so that the Adomian decomposition method can be applied, which permits convenient resolution of these equations [19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%