Results 21 to 30 of about 541 (198)
Adomian Polynomials Method for Dynamic Equations on Time Scales
Advances in the Theory of Nonlinear Analysis and its Application, 2021 A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales.
Erhan,I.M., Georgiev,S.G., Erhan, İnci
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A practical review of the Adomian decomposition method: computer implementation aspects [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this paper, a practical review of the Adomian decomposition method, to extend the procedure to handle the strongly nonlinear problems under the mixed conditions, is given and the convergence of the algorithm is proved.
Ahmad Molabahrami
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New iterative technique for computing Fourier transforms. [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
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Journal of Mathematics, 2022 For the first time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-diffusion equations (CRDEs) in the sense of conformable derivative (CD).
Shahram Rezapour +2 more
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Journal of Mathematics, 2022 The major objective of this study is to derive fractional series solutions of the time-fractional Swift-Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar-Jafari approach (DJA)
Muhammad Imran Liaqat, Eric Okyere
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Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator
Journal of Function Spaces, 2022 In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method.
Saleh Alshammari +2 more
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Mathematical and Computer Modelling, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adomian, G., Rach, R.
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems
Discrete Dynamics in Nature and Society, 2022 Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. These DAEs are known to pose a challenge to numerical methods. The purpose of this paper
Brahim Benhammouda
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Comparative study of Adomian decomposition method and Clique polynomial method
Partial Differential Equations in Applied Mathematics, 2022 This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
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Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet
International Journal of Applied Mechanics and Engineering, 2013 In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field.
O.D. Makinde +2 more
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