Results 21 to 30 of about 17,441,971 (121)
On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]
, 2012 30.10.12 KB.
Garetto, Claudia +7 more
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Finite-difference solutions of tenth-order boundary-value problems [PDF]
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Shear waves in a nonlinear elastic cylindrical shell [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаAsymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich +2 more
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High-order coupled nonlinear Schrödinger equation and analyzing soliton dynamics in multimode fibers
Partial Differential Equations in Applied MathematicsThe behavior of solitons in multimode fibers is investigated using the Connected Higher-Order Nonlinear Schrödinger Equations (CHNSE). A sophisticated algebraic technique is employed to analyze the CHNSE, yielding a variety of exact solutions, including ...
Ikram Ullah +5 more
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Thermo-electrical buckling response of actuated functionally graded piezoelectric nanoscale plates
Results in Physics, 2019 In this work, the analytical investigation of thermo-electrical buckling of a functionally graded piezoelectric nanoscale plate is obtained via a refined hyperbolic higher-order shear deformation theory.
Ashraf M. Zenkour, Maryam H. Aljadani
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Closed-Form Meromorphic Solutions of High-Order and High-Dimensional Differential Equations
AxiomsIn this paper, we investigate closed-form meromorphic solutions of the fifth-order Sawada-Kotera (fSK) equation and (3+1)-dimensional generalized shallow water (gSW) equation. The study of high-order and high-dimensional differential equations is pivotal
Hongqiang Tu, Yongyi Gu
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Alexandria Engineering JournalThe coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy +4 more
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A Numerical Implementation of a Nonlinear Mild Slope Model for Shoaling Directional Waves
Journal of Marine Science and Engineering, 2014 We describe the numerical implementation of a phase-resolving, nonlinear spectral model for shoaling directional waves over a mild sloping beach with straight parallel isobaths.
Justin R. Davis +3 more
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Computers & Mathematics with Applications, 1986 Error estimates are proved for finite element approximations to the solution of the initial-value problem \[ u_{tt}=\sum^{n}_{j,k=1}\partial /\partial x_ j(a_{jk}(x,t,u)\partial u/\partial x_ k)-a_ 0(t,x\quad,u)u+f(x,t,u)\quad in\quad \Omega \times [0,\tau], \] \(u=0\) in \(\partial \Omega \times [0,\tau]\), \(u(0)=u^ 0\), \(u_ t(0)=u^ 0_ t\) in ...
openaire +2 more sources