On the convergence of the implicit iterative line-by-line recurrence method for solving difference elliptical equations [PDF]
Компьютерные исследования и моделирование, 2017 In the article a theory of the implicit iterative line-by-line recurrence method for solving the systems of finite-difference equations which arise as a result of approximation of the two-dimensional elliptic differential equations on a regular grid is ...
Alexander Arkad'evich Fomin +1 more
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Simultaneous detection of the nonlinear restoring and excitation of a forced nonlinear oscillation: an integral approach [PDF]
, 2015 We address in this article, how to calculate the restoring characteristic and the excitation of a nonlinear forced oscillating system. Under the assumption that the forced nonlinear oscillator has a periodic solution with period, we constructed a system ...
Ahmad, Fayyaz +3 more
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Four-Dimensional Painlev\'e-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems [PDF]
, 2017 This is the last part of a series of three papers entitled "Four-dimensional Painlev\'e-type equations associated with ramified linear equations". In this series of papers we aim to construct the complete degeneration scheme of four-dimensional Painlev ...
Kawakami, Hiroshi
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Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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Reduction of Linear Functional Systems using Fuhrmann's Equivalence
Sultan Qaboos University Journal for Science, 2016 Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
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Modelling of heat transfer In biological tissue by interval FEM
Computer Assisted Methods in Engineering and Science, 2023 In this paper, an algorithm of calculation of extreme values of temperature based on interval arithmetic is presented. Many mechanical systems with uncertain parameters can be described by a parameter dependent system of linear equations K()T = B ...
Marek Jasiński, Andrzej Pownuk
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A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
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Analysis of a System for Linear Fractional Differential Equations
Journal of Applied Mathematics, 2012 The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations ...
Fang Wang, Zhen-hai Liu, Ping Wang
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Solving system of linear equations via bicomplex valued metric space
Demonstratio Mathematica, 2021 In this paper, we prove some common fixed point theorems on bicomplex metric space. Our results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.
Gnanaprakasam Arul Joseph +4 more
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Quantum annealing for systems of polynomial equations
, 2019 Numerous scientific and engineering applications require numerically solving systems of equations. Classically solving a general set of polynomial equations requires iterative solvers, while linear equations may be solved either by direct matrix ...
Chang, Chia Cheng +3 more
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