Results 31 to 40 of about 5,810 (155)
An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
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Journal of Applied Mathematics, 2021 The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations.
Mohamed Z. Mohamed +4 more
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, 2010 Theoretically, stars have been formed from the collapse of cores in the molecular clouds. Historically, the core had been assumed as an singular isothermal sphere (SIS), and the collapse had been investigated by a self-similar manner.
Nejad-Asghar, Mohsen
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Journal of Applied Mathematics, 2013 We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the ...
Lie-jun Xie
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Approximate solutions of the Fourth-Order Eigenvalue Problem
Journal of Advanced Research in Natural and Applied Sciences, 2022 In this paper, the differential transformation (DTM) and the Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. This fourth order eigenvalue problem has nonstrongly regular boundary conditions.
Derya Arslan
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Modifikasi Metode Dekomposisi Adomian untuk Menyelesaikan Persamaan Gelombang Nonlinear [PDF]
, 2014 This article discusses the modification of Adomian decomposition method to solve anonlinear wave equation. Some numerical examples are used to show the effectivenessof the method.
Deswita, L. (Leli) +2 more
core
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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On the numerical solution of Fredholm-type integro-differential equations using an efficient modified Adomian decomposition method [PDF]
Mathematics and Computational SciencesThe efficiency of the Adomian decomposition method in the solution of integro-differential equations cannot be overemphasized. However, improvement of the method is needed as its drawbacks have been analyzed and reported in recent literature.
Kabiru Kareem +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.Abstract In this study, a comprehensive analytical framework is developed to investigate the free vibration behavior of double‐walled carbon nanotubes (DWCNTs) resting on an elastic foundation, based on Eringen's nonlocal elasticity theory. The DWCNTs are modeled as two coupled Euler–Bernoulli (EB) beams, explicitly incorporating intertube van der ...
Ayşegül Tepe
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Results in Nonlinear Analysis, 2021 In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method (MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear ...
Fawziah M. Al-saar, Kirtiwant P. Ghadle
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