Results 61 to 70 of about 242,665 (215)
A new operational matrix based on Bernoulli polynomials [PDF]
, 2014 In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
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On Optical Solitons of the Fractional (3+1)-Dimensional NLSE With Conformable Derivatives
Frontiers in Physics, 2020 In this article, the fractional (3+1)-dimensional nonlinear Shrödinger equation is analyzed with kerr law nonlinearity. The extended direct algebraic method (EDAM) is applied to obtain the optical solitons of this equation with the aid of the conformable
Zeliha Korpinar +3 more
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Differential Equations and Algebras
, 2023 A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus ...
openaire +2 more sources
An application of the Maslov complex germ method to the 1D nonlocal Fisher-KPP equation
, 2018 A semiclassical approximation approach based on the Maslov complex germ method is considered in detail for the 1D nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation under the supposition of weak diffusion.
Shapovalov, A. V., Trifonov, A. Yu.
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Differential Fault and Algebraic Equation Combined Analysis on PICO
MathematicsIn modern information technology, research on block cipher security is imperative. Concerning the ultra lightweight block cipher PICO, there has been only one study focused on recovering its complete master key, with a large search space of 264, and no ...
Linxi Ding +4 more
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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Results in Physics, 2019 In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative.
Zeliha Korpinar +4 more
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Partial Differential Equations in Applied MathematicsThe aim of current work is to establish novel traveling wave solutions of the nonlinear Atangana conformable Klein - Gordon equation using a new extended direct algebraic technique. The Klein - Gordon equation is the relativistic state of the Schrödinger
Hadi Rezazadeh +5 more
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, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
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Advances in Difference Equations, 2017 We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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