Results 11 to 20 of about 1,578,090 (263)
Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations
Mathematics, 2017 Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared
Waheed A. Ahmed +2 more
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Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity [PDF]
, 2018 Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences diffusion at a rate proportional to 1/ν, which is much faster than what ...
Beck, Margaret +2 more
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The reproducing kernel method for nonlinear fourth-order BVPs
AIMS Mathematics, 2023 Based on the reproducing kernel theory, we solve the nonlinear fourth order boundary value problem in the reproducing kernel space $ W_{2}^{5}[0, 1] $.
Shiyv Wang, Xueqin Lv, Songyan He
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Approximate solution for quadratic Riccati differential equation
Journal of Taibah University for Science, 2017 The quadratic Riccati differential equations are a class of nonlinear differential equations of much importance, and play a significant role in many fields of applied science.
Fateme Ghomanjani, Esmaile Khorram
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Approximate solution for the Lane-Emden equation of the second kind in a spherical annulus
Journal of King Saud University: Engineering Sciences, 2019 In this paper, we derive accurate approximate solution of Lane-Emden equation of the second kind in a spherical annulus geometry. The approximate solution is obtained by analytic arguments, and perturbation methods in terms of small and large radial ...
Moustafa Aly Soliman
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Approximate solution for SPP with discontinuous source term [PDF]
Theoretical and Applied Mechanics, 2004 In this paper we shall consider self-adjoint singularly perturbed problem described by the ordinary differential equation of second order with small parameter multiplying the highest derivative and discontinuous source term, and the appropriate boundary ...
Adžić Nevenka, Ovcin Z.
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Body of Optimal Parameters in the Weighted Finite Element Method for the Crack Problem [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, a high-accuracy weighted finite element method is constructed and investigated for finding an approximate solution of the crack problem.
Viktor A. Rukavishnikov
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Stress-strain assessment of plain dents in gas pipelines
Fracture and Structural Integrity, 2020 Paper presents the analytical solution of the stress-strain state for a dented pipeline, based on the method of equivalent loads. First off all solution for a harmonic imperfection is found, then using Fourier series expansion a semi-analytical procedure
Yaroslav Dubyk, Iryna Seliverstova
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Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact ...
H. Aminikhah
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Approximation Solution for the Zener Impact Theory
Mathematics, 2021 Collisions can be classified as completely elastic or inelastic. Collision mechanics theory has gradually developed from elastic to inelastic collision theories.
Ping-Kun Tsai +4 more
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