Results 1 to 10 of about 296 (136)
Mathematics, 2021 In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials and the second kind of Chebyshev polynomials which has not been introduced in other articles to the best of our knowledge.
Lingfei Li
exaly +3 more sources
Analytic solutions for Euler–Bernoulli beams with axial compression resting on a nonlinear elastic foundation using MADM [PDF]
Scientific ReportsThis article investigates the deflection behavior of Euler–Bernoulli beams subjected to axial compression and resting on a nonlinear elastic foundation.
Li-Kuo Chou, Ming-Xian Lin
doaj +2 more sources
A novel technique using integral transforms and residual functions for nonlinear partial fractional differential equations involving Caputo derivatives. [PDF]
PLoS ONEFractional nonlinear partial differential equations are used in many scientific fields to model various processes, although most of these equations lack closed-form solutions.
Zareen A Khan +3 more
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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
doaj +1 more source
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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Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation
Journal of Applied Mathematics, 2021 The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can
Metomou Richard, Weidong Zhao
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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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Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]
Journal of Chemical and Petroleum EngineeringThe Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad +2 more
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