Results 11 to 20 of about 60,168 (264)
Universal differential equations for glacier ice flow modelling [PDF]
Geoscientific Model Development, 2023 Geoscientific models are facing increasing challenges to exploit growing datasets coming from remote sensing. Universal differential equations (UDEs), aided by differentiable programming, provide a new scientific modelling paradigm enabling both complex ...
J. Bolibar +8 more
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Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations [PDF]
Abstract and Applied Analysis, 2013 The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie's modified Riemann-Liouville sense.
Ahmet Bekir +2 more
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East European Journal of Physics, 2021 The paper presents an algorithm for constructing the family of the atomic radial basis functions of three independent variables generated by Helmholtz-type operator, which may be used as basis functions for the implementation of meshless methods for ...
Denys Protektor
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Хімія, фізика та технологія поверхні, 2020 Highly disperse or porous complex and hybrid materials and nanocomposites characterized by the presence of several phases, nonuniform particulate morphology, and complicated porosity with contributions of pores of various shapes are widely used in ...
V. M. Gun'ko
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Applied Sciences, 2022 The trajectory planning method with dynamics is the key to improving the motion performance of manipulators. The optimal control method (OCM) is a key technology to solve optimal problems with dynamics.
Ziyao Xiong, Jianwan Ding, Liping Chen
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On the Calculation of Functional Safety Parameters of Technical Systems [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 Now the scientific methodology is created, the theory and practice of the analysis and synthesis of functional safety of responsible electronic programmable devices and systems at all stages of their life cycle are developed.
Igor B. Shubinskiy +2 more
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Numerical study of a Lyapunov functional for the complex Ginzburg-Landau equation [PDF]
Physica D: Nonlinear Phenomena, 1996 20 pages,LaTeX, Postcript version with figures included available at http://formentor.uib.es/~montagne/textos ...
Montagne, R. +2 more
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021 We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free ...
Andrei D. Polyanin, Vsevolod G. Sorokin
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Dynamics of solutions of nonlinear functional differential equation of parabolic type [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr ...
Kornuta, Anshelika Alexandrovna +1 more
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On a functional equation for the exponential function of a complex variable [PDF]
Glasgow Mathematical Journal, 1971 The following result is well known in the theory of analytic functions; see [1].Theorem A. Suppose that f(z) is an entire function of a complex variable z. Then f(z) satisfies the functional equationwhere z = x + iy (x, y real), if and only if f(z) = aexp(sz), where a is an arbitrary complex constant and s is an arbitrary real constant.
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