Results 81 to 90 of about 233,661 (218)
International Journal of ThermofluidsThis paper presents a robust higher-order numerical scheme for time-fractional singularly perturbed partial differential equations having large delay in time, where the time-fractional derivative term is taken in the Caputo sense with order α∈(0,1).
Habtamu Getachew Kumie +2 more
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A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy [PDF]
Computational Algorithms and Numerical DimensionsNumerical solutions to partial differential equations (PDEs) play a vital role in modeling complex physical phenomena across scientific computing and engineering disciplines.
Muhammad Abid, Muhammad Shahid
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Critical study of higher order numerical methods for solving the boundary-layer equations [PDF]
A fourth order box method is presented for calculating numerical solutions to parabolic, partial differential equations in two variables or ordinary differential equations.
Wornom, S. F.
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, 2014 The aim of this paper is to extend the global error estimation and control addressed in Lang and Verwer [SIAM J. Sci. Comput. 29, 2007] for initial value problems to finite difference solutions of semilinear parabolic partial differential equations.
Berzins +15 more
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Latin American Journal of Solids and StructuresIn the present paper, an exponential shear deformation theory is used to determine the natural frequencies and critical buckling loads of orthotropic plates.
A. S. Sayyad, Y. M. Ghugal
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Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives
AlgorithmsThe paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters.
Gerasim V. Krivovichev
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A New Way to Generate an Exponential Finite Difference Scheme for 2D Convection-Diffusion Equations
Journal of Applied Mathematics, 2014 The idea of direction changing and order reducing is proposed to generate an exponential difference scheme over a five-point stencil for solving two-dimensional (2D) convection-diffusion equation with source term.
Caihua Wang
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Three-dimensional simulation of harmonic up-conversion in a prebunched two-beam free-electron laser
Physical Review Special Topics. Accelerators and Beams, 2010 Three-dimensional simulation of harmonic up-conversion in a free-electron laser amplifier operating simultaneously with two cold and relativistic electron beams with different energy is presented in the steady-state regime.
M. H. Rouhani, B. Maraghechi
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Nash-Moser techniques for nonlinear boundary-value problems
Electronic Journal of Differential Equations, 2003 A new linearization method is introduced for smooth short-time solvability of initial boundary value problems for nonlinear evolution equations. The technique based on an inverse function theorem of Nash-Moser type is illustrated by an application in the
Markus Poppenberg
doaj
Higher Order Spatial Approximations for Degenerate Parabolic Stochastic Partial Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2013 We consider an implicit finite difference scheme on uniform grids in time and space for the Cauchy problem for a second order parabolic stochastic partial differential equation where the parabolicity condition is allowed to degenerate. Such equations arise in the nonlinear filtering theory of partially observable diffusion processes.
openaire +3 more sources