Results 61 to 70 of about 182 (154)
Effective solution of nonlinear DAEs problems using Taylor series method
Demonstratio MathematicaMost methods for solving ordinary differential equations use a limited order to calculate the results. The higher-order method based on the Taylor series presented in this article can use as many terms of the Taylor series as necessary to obtain a stable
Veigend Petr +2 more
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Dynamic ecological system measures
Results in Applied Mathematics, 2019 The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article.
Huseyin Coskun
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Open EngineeringPyrolysis is key to transforming biomass and organic waste into useful energy products. However, standard integer-order models poorly capture the memory and heredity effects that significantly affect the thermal decomposition dynamics of pyrolysis.
Ali Mumtaz +5 more
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A Study on Iterative Solution of Population Dynamics Models
, 2012 In this paper, simple approximate solutions of differential equations pertaining to population dynamics are obtained using iterative method. When the order of approximation tends to infinity, the solutions obtained converge towards an exact solution in ...
Ganeswara Rao +3 more
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Generic polynomial vector fields are not integrable *
, 2020 We study some generic aspects of polynomial vector fields or polynomial derivations with respect to their integration. In particular, using a well-suited presentation of Darboux polynomials at some Darboux point as power series in local Darboux ...
Andrzej J Maciejewski +2 more
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Langevin equation in terms of conformable differential operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions.
Ahmad Bashir +3 more
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This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan +1 more
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Theory and applications of first-order systems of Stieltjes differential equations
Advances in Nonlinear Analysis, 2017 We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
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Approximating solutions of Hammerstein Type equations in Banach Spaces
, 2019 Let X be a real Banach space and X* be its dual. Let F : X → X* and K : X → X* be Lipschitz monotone mappings. In this paper an explicit iterative scheme is constructed for approximating solutions of the Hammerstein type equation, 0 = u + KFu; when they ...
Tufa, Abebe R., Zegeye, H, Daman, O
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Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
, 1999 In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabatic invariant is equivalent to the quantity y'(0), where y is a family of adiabatically symmetric solutions. The leading order of the latter quantity can be
Hu, Jishan
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