2015
DOI: 10.1504/ijmmno.2015.071869
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A numerical method based on the Adomian decomposition method for identifying an unknown source in non-local initial-boundary value problems

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Cited by 2 publications
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“…There is a growing interest of researchers has been to study the Adomian decomposition method ADM [3] [20] [21] [22] [23]. In this work, we will use Laplace transform-Adomian decomposition method (LT-ADM) introduced by Khuri khuri [24].…”
Section: Laplace Adomian Decomposition Methodsmentioning
confidence: 99%
“…There is a growing interest of researchers has been to study the Adomian decomposition method ADM [3] [20] [21] [22] [23]. In this work, we will use Laplace transform-Adomian decomposition method (LT-ADM) introduced by Khuri khuri [24].…”
Section: Laplace Adomian Decomposition Methodsmentioning
confidence: 99%
“…The main benefit of the ADM is that one can employ it directly to differential and integral equations with constant or variable coefficients, which may be either linear or non-linear as well as either homogeneous or nonhomogeneous [39,40]. Another important benefit of the method is that it may reduce the size of calculation significantly while still preserving reasonably accurate numerical results over the traditional techniques [41]. A brief note on the ADM is presented in subsection 3.1.…”
Section: Introductionmentioning
confidence: 99%