Results 11 to 20 of about 13,771 (148)

Residual power series algorithm for fractional cancer tumor models

open access: yesAlexandria Engineering Journal, 2020
In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar   +3 more
doaj   +3 more sources

A new iterative algorithm on the time-fractional Fisher equation: Residual power series method

open access: yesAdvances in Mechanical Engineering, 2017
In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution.
Maysaa’ Mohamed Al Qurashi   +3 more
doaj   +3 more sources

Solutions of the time fractional reaction–diffusion equations with residual power series method

open access: yesAdvances in Mechanical Engineering, 2016
In this article, the residual power series method for solving nonlinear time fractional reaction–diffusion equations is introduced. Residual power series algorithm gets Maclaurin expansion of the solution.
Fairouz Tchier   +3 more
doaj   +3 more sources

On comparison of approximate solutions for linear and nonlinear schrodinger equations

open access: yesActa 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
doaj   +3 more sources

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

open access: yesAxioms
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at some ...
Yue-Wu Li, Feng Qi
doaj   +3 more sources

A unified strategy to compute some special functions of number-theoretic interest [PDF]

open access: yesJournal of Number Theory, 2021
We introduce an algorithm to compute the functions belonging to a suitable set ${\mathscr F}$ defined as follows: $f\in {\mathscr F}$ means that $f(s,x)$, $s\in A\subset {\mathbb R}$ being fixed and $x>0$, has a power series expansion centred at $x_0=1 ...
A. Languasco
semanticscholar   +3 more sources

Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function

open access: yesMathematics
In this work, the author reviews the origination of normalized tails of the Maclaurin power series expansions of infinitely differentiable functions, presents that the ratio between two normalized tails of the Maclaurin power series expansion of the ...
Feng Qi
doaj   +3 more sources

Maximizing Energy Efficiency in Multiuser Multicarrier Broadband Wireless Systems: Convex Relaxation and Global Optimization Techniques

open access: yesIEEE Transactions on Vehicular Technology, 2016
A key challenge toward green communications is how to maximize energy efficiency by optimally allocating wireless resources in large-scale multiuser multicarrier orthogonal frequency-division multiple-access (OFDMA) systems.
Charilaos C. Zarakovitis, Q. Ni
semanticscholar   +2 more sources

Designing novel LDO voltage regulator implementation on FPGA using neural network [PDF]

open access: yesJournal of Applied Research on Industrial Engineering, 2021
This paper describes a new technique for implementing an Artificial Neural Network (ANN) using Field Programmable Gate Array (FPGA). The goal is design the Low Drop Output (LDO) voltage-regulator circuit with the desired features depending on the ...
Mahdieh Jahangiri   +2 more
doaj   +1 more source

MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function

open access: yesApplicable Analysis and Discrete Mathematics, 2022
In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic sine, in terms of the first kind Stirling numbers, apply a newly established series expansion to derive a closed-form formula for specific ...
Bai-Ni Guo, Dongkyu Lim, Feng Qi
openaire   +2 more sources

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