Results 21 to 30 of about 943,605 (138)
Linear Parabolic Problems in Random Moving Domains
, 2018 We consider linear parabolic equations on a random non-cylindrical domain. Utilizing the domain mapping method, we write the problem as a partial differential equation with random coefficients on a cylindrical deterministic domain.
Djurdjevac, Ana
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Differential transform method: a comprehensive review and analysis
Iranian Journal of Numerical Analysis and Optimization, 2022 Summary: The complexity of solving differential equations in real-world applications motivates researchers to extend numerical methods. Among different numerical and semi-analytical methods for solving initial and boundary value problems, the differential transform method (DTM) has received notable attention.
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Relativistic Compact Objects in Isotropic Coordinates
, 2005 We present a matrix method for obtaining new classes of exact solutions for Einstein's equations representing static perfect fluid spheres. By means of a matrix transformation, we reduce Einstein's equations to two independent Riccati type differential ...
C G Boehmer +17 more
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Flow Equations for Electron-Phonon Interactions
, 1996 A recently proposed method of continuous unitary transformations is used to eliminate the interaction between electrons and phonons. The differential equations for the couplings represent an infinitesimal formulation of a sequence of Fr\"ohlich ...
Bardeen +18 more
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Status of the differential transformation method [PDF]
Applied Mathematics and Computation, 2012 To appear in Applied Mathematics and Computation, 29 pages, references and further considerations ...
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Solution of conformable fractional ordinary differential equations via differential transform method [PDF]
Optik, 2017 Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in [2].
Unal, Emrah, Gokdogan, Ahmet
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A random differential transform method: Theory and applications
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Villafuerte, L., Chen-Charpentier, B.M.
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Chaotic systems via multi-step differential transformation method
Canadian Journal of Physics, 2012 In this article, the multi-step differential transform method is implemented to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems, such as Chen, Lorenz, Arneodo–Coullet, Genesio, Lui, and Rikitake chaotic systems.
Yildirim, Ahmet +2 more
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Numerical implementation of differential transformations method for integro-differential equations
International Journal of Computer Mathematics, 2010 Differential transformation (DT) is one of the numeric methods for solving differential equations. The advantage of this method is to transform the differential equation into algebraic ones. The aim of this article is to present a comparative study of the DT for solving of linear or nonlinear integro-differential equations.
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Solving Coupled Fractional Differential Equations Using Differential Transform Method.
Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2021 This paper presents the solution of coupled equations which are of fractional order using differential transform method. In this paper we extend the scope of differential transform method to system of fractional differential equations so that we get the analytical solutions.
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