Results 81 to 90 of about 234,656 (222)

Robust higher-order numerical scheme for solving time-fractional singularly perturbed parabolic partial differential equations with large delay in time

International Journal of Thermofluids
This 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, Awoke Andargie Tiruneh, Getachew Adamu Derese   +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 Dimensions
Numerical 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
doaj   +1 more source

Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory

Latin American Journal of Solids and Structures
In 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
doaj   +1 more source

On Boundary Value Problems for Parabolic Equations of Higher Order in Time

Journal of Differential Equations, 1996
This paper is concerned with the initial-boundary value problem for the parabolic equations: \[ {\mathcal A}(t, x, \partial_t, \partial_x) u= f\quad\text{in } ]0, T]\times \Omega, \] \[ {\mathcal B}_\mu(t, x, \partial_t, \partial_x) u= g_\mu,\;\mu= 1,\dots, m,\text{ on } ]0, T]\times \partial \Omega, \] \[ u(0, x)= u_0(x),\dots, \partial^{\ell- 1}_t u ...
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Analysis of higher order difference method for a pseudo-parabolic equation with delay [PDF]

Miskolc Mathematical Notes, 2019
In this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative. To solve this problem numerically, the author constructs higher order difference method and obtain the error estimate for its solution.
openaire   +3 more sources

Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives

Algorithms
The 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
doaj   +1 more source

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
doaj   +1 more source

Higher order turbulence closure models [PDF]

Theoretical models are developed and numerical studies conducted on various types of flows including both elliptic and parabolic. The purpose of this study is to find better higher order closure models for the computations of complex flows.
Amano, Ryoichi S., Chai, John C., Chen, Jau-Der   +2 more
core   +1 more source

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
doaj   +1 more source

Evolution operators for higher order abstract parabolic equations [PDF]

Czechoslovak Mathematical Journal, 1986
The author shows the existence of an evolution operator for a higher order abstract parabolic equation with variable coefficients. The techniques employed are similar to Tanabe's method [\textit{H. Tanabe}, Osaka Math. J. 12, 363-376 (1960; Zbl 0098.313)].
openaire   +1 more source