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Chengzhi Liu, Xuli Han and Juncheng Li
In this paper, we exploit an numerical method for solving second order differential equations with boundary conditions. Based on the theory of the analytic solution, a series of spline functions are presented to find approximate solutions, and one of the...
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Kyle R. Bryenton, Andrew R. Cameron, Keegan L. A. Kirk, Nasser Saad, Patrick Strongman and Nikita Volodin
The analysis of many physical phenomena is reduced to the study of linear differential equations with polynomial coefficients. The present work establishes the necessary and sufficient conditions for the existence of polynomial solutions to linear differ...
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Irina Belyaeva,Nikalay Chekanov,Natalia Chekanova,Igor Kirichenko,Oleg Ptashny,Tetyana Yarkho
Pág. 43 - 52
The Green?s function is widely used in solving boundary value problems for differential equations, to which many mathematical and physical problems are reduced. In particular, solutions of partial differential equations by the Fourier method are reduced ...
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Nur Ardiana Amirsom, Md. Jashim Uddin, Md Faisal Md Basir, Ali Kadir, O. Anwar Bég and Ahmad Izani Md. Ismail
This paper studies the combined effects of viscous dissipation, first and second-order slip and variable transport properties on phase-change hydromagnetic bio-nanofluid convection flow from a stretching sheet. Nanoscale materials possess a much larger s...
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Najwa Najib, Norfifah Bachok, Norihan Md Arifin and Fadzilah Md Ali
The mathematical model of the two-dimensional steady stagnation-point flow over a stretching or shrinking sheet of nanofluid in the presence of the Soret and Dufour effects and of second-order slip at the boundary was considered in this paper. The partia...
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Musa Ahmed Demba, Poom Kumam, Wiboonsak Watthayu and Pawicha Phairatchatniyom
In this work, a pair of embedded explicit exponentially-fitted Runge?Kutta?Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the deriv...
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Lorenzo Fortunato, Ilyas Inci, José-Antonio Lay and Andrea Vitturi
The program TFF calculates stripping single-particle form factors for one-neutron transfer in prior representation with appropriate perturbative treatment of recoil. Coupled equations are then integrated along a semiclassical trajectory to obtain one- an...
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V. V. Laguta
Pág. 95 - 99
The numerical method of the decision of the first boundery problem with the nonlinear ordinary differential equation of the second order is offered. The initial problem is reduced to the decision of the two integrated equations with use Green's function....
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Theodore T. Kapsis, Nikolaos K. Lyras, Charilaos I. Kourogiorgas and Athanasios D. Panagopoulos
Next generation 5G networks generate a need for broadband, low latency and power efficient backhauling and data-relay services. In this paper, optical satellite communications links, as an integrated component of 5G networks, are studied. More specifical...
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Pawel Skruch and Marek Dlugosz
This paper describes a design scheme for terminal sliding mode controllers of certain types of non-linear dynamical systems. Two classes of such systems are considered: the dynamic behavior of the first class of systems is described by non-linear second-...
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Miglena N. Koleva and Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two dis...
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Folake Oyedigba Akinpelu, Olalekan Ayodeji Olaleye, Raimi Marcus Alabison
Pág. 130 - 137
A comparison of the effects of solar radiation on sandy-loam and clay-loam soils with convective boundary condition was made. The dimensional governing equations (the continuity, momentum and energy equations) were converted to non-dimensional form using...
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Andrey D. Bulygin,Denis A. Vrazhnov
Pág. 14 - 18
In this paper we present simple yet efficient parallel program implementation of grid-difference method for solving nonlinear parabolic equations, which satisfies both fully conservative property and second order of approximation on non-uniform spatial g...
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Volodymyr Bulgakov, Simone Pascuzzi, Volodymyr Nadykto and Semjons Ivanovs
Technological peculiarities of cultivation and harvesting of some agricultural crops make it necessary to use asymmetric machine-and-tractor aggregates. However, for the time being there is no sufficiently complete, analytical study of the steady movemen...
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Yunbo Zhang, Kun Huang and Wei Xu
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are ex...
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Yasir Nawaz, Muhammad Shoaib Arif and Kamaleldin Abodayeh
The novelty of this paper is to propose a numerical method for solving ordinary differential equations of the first order that include both linear and nonlinear terms (ODEs). The method is constructed in two stages, which may be called predictor and corr...
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Ladislav Sator, Vladimir Sladek and Jan Sladek
Laminated composite structures suffer from failure because of concentrations of gradient fields on interfaces due to discontinuity of material properties. The rapid development of material science enables designers to replace classical laminated plate el...
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Kirill Trapezon,Alexandr Trapezon
Pág. 26 - 33
The paper reports an algorithm to analytically solve one of the problems in the mechanics of elastic bodies, which is associated with studying the natural vibrations of a composite two-stage plate whose concave part is smoothly aligned with the part of a...
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Yang Li, Wanchun Chen and Liang Yang
In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization. ...
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Jieru Chi, Lei Guo, Aurelien Destruel, Yaohui Wang, Chunyi Liu, Mingyan Li, Ewald Weber, Qinghuo Liu, Jie Yang, Xuegang Xin and Feng Liu
Magnetic Resonance-Electrical Properties Tomography (MR-EPT) is a method to reconstruct the electrical properties (EPs) of bio-tissues from the measured radiofrequency (RF) field in Magnetic Resonance Imaging (MRI). Current MR-EPT approaches reconstruct ...
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