Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems
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DOI: 10.1007/s12190-016-1056-1
Abstract: In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis of the proposed scheme is… read more here.
Keywords: residual power; time space; series method; power series ... See more keywords
Approximation via Power Series Method in Two-Dimensional Weighted Spaces
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DOI: 10.1007/s40840-020-00902-1
Abstract: In this work, we obtain a Korovkin-type approximation theorem for double sequences of real-valued functions by using the power series method in two-dimensional weighted spaces. We also study the rate of convergence by using the… read more here.
Keywords: dimensional weighted; approximation; series method; power series ... See more keywords
Statistical convergence with respect to power series method on time scales
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DOI: 10.2298/fil2413775d
Abstract: Inthe present paper, we introduce some new notions, such as convergence in the sense of power series method and strong convergence in the sense of power series method on an arbitrary time scale. Later, with… read more here.
Keywords: convergence; power series; statistical convergence; series method ... See more keywords
Analysis of Using Time Series Method for Prediction of Number of Passengers at the Airport
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DOI: 10.2478/jok-2020-0058
Abstract: Abstract At present, one of the most frequently discussed topics, not only at international conferences, but also within the EU, is the issue of airport financing, as well as the thresholds at which airports can… read more here.
Keywords: time series; series method; airport; number passengers ... See more keywords
A Multistep Method for Integration of Perturbed and Damped Second-Order ODE Systems
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DOI: 10.3390/math12132018
Abstract: Based on the Ψ-functions series method, a new numerical integration method for perturbed and damped second-order systems of differential equations is presented. This multistep method is defined for variable step and variable order (VSVO) and… read more here.
Keywords: integration; perturbed damped; functions series; damped second ... See more keywords
Sharp bounds on the sinc function via the Fourier series method
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DOI: 10.7153/jmi-2019-13-33
Abstract: In this paper we provide sharp bounds on the sinc function using the Fourier series method. Refinements of some remarkable trigonometric inequalities involving sinc function are given as well. Mathematics subject classification (2010): 41A21, 42B05,… read more here.
Keywords: sharp bounds; sinc function; series method; bounds sinc ... See more keywords