Results 21 to 30 of about 3,224 (230)
Alexandria Engineering Journal, 2022 In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh +2 more
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Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method [PDF]
Mathematical Problems in Engineering, 2016 This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems inRn.
Xu, Fei +3 more
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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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Extended Residual Power Series Algorithm for Boundary Value Problems
Mathematical Problems in Engineering, 2022 In this article, modification of the residual power series method (RPSM) is proposed for higher order boundary value problems (BVPs). The proposed algorithm is tested against various linear and nonlinear BVPs of orders nine up to thirteen. For the efficiency check of RPSM, obtained series solutions are compared with other available results in the ...
Mubashir Qayyum +4 more
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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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Fractal and Fractional, 2023 In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq +4 more
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Efficient Computation of Laplace Residual Power Series with Explicit Coefficient Formulas
arXiv admin note: text overlap with arXiv:2407 ...
Kittipoom, Pisamai
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Residue fixed point index and wildly ramified power series
Journal of the London Mathematical Society, 2020 In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of the power series. Then, we use this formula to study wildly ramified power series in positive characteristic.
Nordqvist, Jonas, Rivera-Letelier, Juan
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Residual log-periodogram inference for long-run relationships [PDF]
, 2006 We assume that some consistent estimator of an equilibrium relation between non-stationary series integrated of order d(0.5,1.5) is used to compute residuals (or differences thereof).
Velasco Gómez, Carlos +3 more
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Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense
Entropy, 2021 Fuzzy differential equations provide a crucial tool for modeling numerous phenomena and uncertainties that potentially arise in various applications across physics, applied sciences and engineering. Reliable and effective analytical methods are necessary
Malik Bataineh +3 more
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