Results 21 to 30 of about 562,762 (259)
Residual Power Series Method for Solving Klein-Gordon Schrödinger Equation
Science Journal of University of Zakho, 2021 In this work, the Residual Power Series Method(RPSM) is used to find the approximate solutions of Klein Gordon Schrödinger (KGS) Equation. Furthermore, to show the accuracy and the efficiency of the presented method, we compare the obtained approximate
Ssaad A. Manaa +2 more
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Mathematics, 2020 In this paper, the well-known Föppl–Hencky membrane problem—that is, the problem of axisymmetric deformation of a transversely uniformly loaded and peripherally fixed circular membrane—was resolved, and a more refined closed-form solution of the problem ...
Yong-Sheng Lian +4 more
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Conditions for the equivalence of power series and discrete power series methods of summability
Filomat, 2015 Discrete power series methods were introduced and their regularity results were developed by Watson [Analysis (Munich), 18(1): 97-102, 1998]. It was shown by Watson that discrete power series method (P?) strictly includes corresponding power series method (P).
Sezer, Sefa Anil, Canak, Ibrahim
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A New Solution to Well-Known Hencky Problem: Improvement of In-Plane Equilibrium Equation
Mathematics, 2020 In this paper, the well-known Hencky problem—that is, the problem of axisymmetric deformation of a peripherally fixed and initially flat circular membrane subjected to transverse uniformly distributed loads—is re-solved by simultaneously considering the ...
Xue Li +4 more
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Results in Physics, 2021 In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM).
Hira Tariq +7 more
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Discrete power series methods [PDF]
Analysis, 1998 Let \(\sum^\infty_{n=0} a_n\) be a series of real or complex numbers and \((s_n)\) represent its sequence of partial sums. Let \[ p(x)= \sum^\infty_{k=0} p_kx^k \quad \text{and} \quad p_k(x) ={1\over p(x)} \sum^\infty_{k=0} p_ks_kx^k. \] \(\rho_p\) denote the radius of convergence of \(p(x)\).
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Methods and applications of power series [PDF]
Mathematics of Computation, 1966 solutions. The series solution, with its great accuracy, permits study of the analytic properties of the solution to an extent which is unachievable with a finite difference solution; and the series solution can be used as an intermediate result which can be integrated and differentiated easily.
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Физико-химические аспекты изучения кластеров, наноструктур и наноматериаловThe paper investigates the quantum characteristics of the widely used semiconductor gallium arsenide in the modern promising field of microelectronics.
I.N. Belyaeva +3 more
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Nonlinear Analysis, 2015 The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed.
Gangwei Wang, Tianzhou Xu
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Korovkin-type approximation by operators in Riesz spaces via power series method
Demonstratio Mathematica, 2019 In this paper we prove an Ozguç, Yurdakadim and Taş version of the Korovkin-type approximation by operators in the sense of the power series method. That is, we try to extend the Korovkin approximation theorems, obtained by Ozguç and Taş in 2016, and Taş
Chil Elmiloud, Assili Marwa
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