Results 21 to 30 of about 1,232,541 (315)
Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration [PDF]
, 2014 A method is presented, with standard examples, based on an elementary complex integral expression, for developing, in particular, series solutions for second-order linear homogeneous ordinary differential equations.
Robin, William
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Photonic Sensors, 2018 Starting from the basic equations describing the evolution of the carriers and photons inside a semiconductor optical amplifier (SOA), the equation governing pulse propagation in the SOA is derived.
Xiaofei Jia
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Entropy, 2018 In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time.
Xin Liang +4 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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On the Abel Equation of the Second Kind with Sinusoidal Forcing
Nonlinear Analysis, 2007 We consider the Abel equation of the second kind with sinusoidal forcing, which is a model equation for western boundary outflow in the Stommel model of the large scale ocean circulation.
G. Alobaidi, R. Mallier
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Exact and Approximate Solutions for Some Classes of the Inhomogeneous Pantograph Equation
Axioms, 2023 The standard pantograph delay equation (SPDDE) is one of the famous delay models. This standard model is basically homogeneous in nature and it has been extensively studied in the literature. However, the studies on the general inhomogeneous form of such
A. A. Al Qarni
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Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension.
E. Navarro, L. Jódar, R. Company
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Series in vector spherical harmonics: an efficient tool for solution of nonlinear problems in spherical plasmas [PDF]
, 2000 The series expansion of the plasma fields and currents in vector spherical harmonics has been demonstrated to be an efficient technique for solution of nonlinear problems in spherically bounded plasmas.
Ostrikov, K. +5 more
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Series Solution of a Functional Equation [PDF]
Journal of the Australian Mathematical Society, 1965 In this we will study analytic solutions to the linear functional equationwherefandhare given functions, x is a given complex number and the function g is to be found. This is a generalization of Schröder's functional equation. The results obtained are global in nature and the solutions holomorphic.
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Developing a Series Solution Method of -Difference Equations [PDF]
, 2013 The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference ...
Hsuan-Ku Liu
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