Results 31 to 40 of about 885,756 (290)
Discrete Dynamics in Nature and Society, 2018 This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems [PDF]
Advances in Mathematical Physics, 2022 The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ .
Mine Aylin Bayrak +2 more
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Residual power series method for time-fractional Schrödinger equations
Journal of Nonlinear Sciences and Applications, 2016 Summary: In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrödinger equations. The competency of the method is examined by applying it to the several numerical examples.
Zhang, Yu +4 more
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Mathematics, 2021 In this article, an attractive numeric–analytic algorithm, called the fractional residual power series algorithm, is implemented for predicting the approximate solutions for a certain class of fractional systems of partial differential equations in terms
Hussam Aljarrah +3 more
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Generation of potential/surface density pairs in flat disks Power law distributions
, 2007 We report a simple method to generate potential/surface density pairs in flat axially symmetric finite size disks. Potential/surface density pairs consist of a ``homogeneous'' pair (a closed form expression) corresponding to a uniform disk, and a ...
A. Pierens +15 more
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Residual power series method for solving nonlinear reaction-diffusion-convection problems
Boletim da Sociedade Paranaense de Matemática, 2021 In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.
M. S. Khader, Mahmoud H. DarAssi
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MathematicsOne of the important techniques for solving several partial differential equations is the residual power series method, which provides the approximate solutions of differential equations in power series form.In this work, we use Aboodh transform in the ...
Faten H. Damag
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On comparison of approximate solutions for linear and nonlinear schrodinger equations
Acta Scientiarum: Technology, 2019 In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions.
Zeliha Korpinar
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Generalized Gompertz-power series distributions
, 2015 In this paper, we introduce the generalized Gompertz-power series class of distributions which is obtained by compounding generalized Gompertz and power series distributions.
Jafari, Ali Akbar, Tahmasebi, Saeid
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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