A Space|Time Legendre|Petrov|Galerkin Method for Third|Order ...

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order ...

In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic boundary conditions.

(PDF) A Space-Time Legendre-Petrov-Galerkin Method for Third ...

In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic boundary ...

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order ...

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order Differential Equations. Language: English; Authors: Tang, Siqin1 (AUTHOR) Li, Hong2 (AUTHOR) ...

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order ...

Abstract: In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic ...

Petrov--Galerkin and Chebyshev Collocation Method for Third-Order ...

... In this paper, a space-time Legendre-Petrov-Galerkin method is considered for the linear third-order differential equations, see [17] : ... ... There are ...

A space-time Petrov-Galerkin method for the two-dimensional ...

In this work, a space-time Petrov-Galerkin (STPG) method is used to numerically analyze the two-dimensional regularized long-wave (RLW) equation.

A space–time spectral Petrov–Galerkin method for nonlinear time ...

In this work, we study a space–time Petrov–Galerkin method for third- and fifth-order time fractional Korteweg–de Vries–Burgers equations.

A space-time spectral Petrov-Galerkin spectral method for time ...

where Γ(·) is the usual Gamma function. For ν ∈ [m − 1,m) with m ∈ N, the left-sided Riemann-Liouville fractional derivative of order ν.

A Legendre--Petrov--Galerkin and Chebyshev Collocation Method ...

A Legendre--Petrov--Galerkin (LPG) method for the third-order differential equation is developed. By choosing appropriate base functions, the method can be ...

A space–time discontinuous Galerkin method for the solution of the ...

are denoted here by Q2 and Q3 for second and third order approximations in space and time, respectively. ... Space-time finite element methods for second-order ...

A space-time spectral method for multi-dimensional Sobolev equations

In this article, we apply the space-time spectral methods to the equation (1) for the first time. Legendre-Galerkin methods and dual-Petrov- ...

[2012.06073] Windowed space-time least-squares Petrov-Galerkin ...

Abstract:This work presents the windowed space-time least-squares Petrov-Galerkin method (WST-LSPG) for model reduction of nonlinear ...

Petrov--Galerkin Method for the Korteweg--de Vries Equation

The nonlinear term is computed with the Legendre spectral method and some pseudospectral methods, respectively. Optimal error estimates in L2 -norm are obtained ...

laguerre and composite legendre-laguerre dual-petrov-galerkin ...

guerre dual-Petrov-Galerkin (LDPG) method for third-order equations, and provide a theoretical and numerical study on the third-order derivative operator.

An accurate and efficient space-time Galerkin spectral method for ...

The first is that the solutions of this equation are usually singular near the initial time. Consequently, traditional high-order numerical ...

Eigenvalue Analysis and Applications of the Legendre Dual-Petrov ...

We provide ample numerical results to demonstrate the high accuracy and robustness of the space-time spectral methods for some interesting ...

Galerkin–Legendre spectral method for the distributed-order time ...

In this paper, we consider the Galerkin–Legendre spectral method for solving the two-dimensional distributed-order time fractional fourth-order partial ...

Analysis of a high-order space and time discontinuous Galerkin ...

Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation.

Fully Petrov–Galerkin spectral method for the distributed-order time ...

In this paper, we consider the space-time Petrov–Galerkin spectral method for a two-dimensional distributed-order time-fractional fourth-order partial ...

norm, for third-order linear equations in one space dimension | IMA ...

We introduce a Bassi–Rebay type discontinuous Galerkin (DG) method for both stationary and time-dependent third-order linear equations. This method is the first ...