Results 21 to 30 of about 23,893 (314)
New Treatment of wave solutions of the nonlinear Burgers equation [PDF]
Delta Journal of Science, 2023 The nonlinear partial differential equations face many obstacles due to the nonlinear terms. The numerical and approximate solutions are only possible to be obtained.
Sherif Gouda, Selim Mohammadein
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Finite element heterogeneous multiscale methods for the wave equation [PDF]
, 2013 Wave phenomena appear in a wide range of applications such as full-waveform seismic inversion, medical imaging, or composite materials. Often, they are modeled by the acoustic wave equation.
Stohrer, Christian
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Discrete Dynamics in Nature and Society, 2017 In spatial economics, the distribution of wages is described by a solution to the wage equation of Dixit-Stiglitz-Krugman model. The wage equation is a discrete equation that has a double nonlinear singular structure in the sense that the equation ...
Minoru Tabata, Nobuoki Eshima
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Psi_B-energy operator and cross-power spectral density [PDF]
, 2014 In this paper we consider the hermitian extension of the cross-Psi_B-energy operator that we will denote by Psi_H. In addition, cross energy terms are formalized through multivariate signals representation.
CHONAVEL, Thierry +2 more
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Nonlinear equations in private derivatives, related to the operator of Dirak
Наука. Инновации. Технологии, 2022 Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya +1 more
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Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation
上海师范大学学报. 自然科学版, 2017 In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions ...
Wang Li +3 more
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Nonlinear Operations and the Solution of Integral Equations [PDF]
Transactions of the American Mathematical Society, 1978 The letters 5, G and H denote a linearly ordered set, a normed complete Abelian group with zero element 0, and the set of functions from G to G that map O into 0, respectively. In addition, if Z E H and there exists an additive function a from S x S to the nonnegative numbers such that 11 Y(x, y)P-V(x, y)Q 11 < a(x, Y)llP-Q 12 for each {x, y, P, Q } in
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, 2020 In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Cui, Yujun +3 more
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