A Legendre and Chebyshev dual|Petrov

A Legendre and Chebyshev dual|Petrov–Galerkin method for

A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order ...

A new dual-Petrov-Galerkin method is proposed, analyzed, and implemented for third and higher odd-order equations using a spectral discretization.

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

A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations. Ma, Heping; Sun, Weiwei. Published in ...

Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal ...

Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as ...

Deducing Multidecadal Anthropogenic Global Warming Trends ...

LEGENDRE-PETROV-GALERKIN CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Language: English; Authors: QIYI GAO1. HUA WU1

Petrov---Galerkin Method for Solving Second-Order Equations

A new efficient Chebyshev---Petrov---Galerkin (CPG) direct solver is presented for the second order elliptic problems in square domain.

Eigenvalue analysis and applications of the Legendre dual-Petrov ...

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems ; Journal: Advances in Computational Mathematics, ...

Meshless local Petrov-Galerkin method for rotatingRayleigh beam ...

The orthogonal polynomials are used and results obtained with Chebyshev polynomials and Legendre polynomials are exactly the same. The results are compared with ...

Efficient Chebyshev–Petrov–Galerkin Method for Solving Second ...

A new efficient Chebyshev–Petrov–Galerkin (CPG) direct solver is presented for the second order elliptic problems in square domain where the ...

Meshless local Petrov-Galerkin method for rotating Rayleigh beam ...

The orthogonal polynomials are used and results obtained with Chebyshev polynomials and Legendre polynomials are exactly the same. The results are compared with ...

Convergence of Legendre and Chebyshev multiwavelets in Petrov ...

It is also shown how to use them in Petrov-Galerkin approach for solving Fredholm integro-differential equation of high orders of the second kind. In fact, a ...

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

The Legendre-Petrov-Galerkin discretization is employed in both space and time. In the theoretical analysis, rigorous proof of error estimates in the weighted ...

A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for ...

In 20 , the authors focused on a collocation method based on Chebyshev polynomials, with the concrete aim of comparing it with a simple finite-difference method ...

Chebyshev and Legendre via Galerkin Method for Solving KdV ...

Two of these methods are based on cardinal Chebyshev basis function with. Galerkin method. Gauss-quadrature formula and El-gendi method are used to convert the ...

A generic sparse spectral Petrov-Galerkin method - UiO - DUO

Elbarbary [12] describe a sparse Petrov-Galerkin method with Chebyshev polynomials for ... For the Legendre and Chebyshev families the basis functions of lowest.

Explicit Chebyshev Petrov–Galerkin scheme for time-fractional ...

In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order ...

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

In [26], the author proposed spectral Chebyshev collocation algorithms for the approximation of the KdV equation with non-periodic boundary conditions, and ...

Chebyshev-Legendre Pseudo-Spectral Method for the Modified ...

Chebyshev-Legendre pseudo-spectral method was applied to resolve the modified Kawahara equation. The proposed approach is based on Legendre-Petrov Galerkin ...

Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal ...

The orthogonal polynomials,. Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions. The test functions used were power functions ...

Convergence of Legendre and Chebyshev multiwavelets in Petrov ...

It is also shown how to use them in Petrov-Galerkin approach for solving Fredholm integro-differential equation of high orders of the second kind. In fact, a ...

Meshless local Petrov-Galerkin method for rotatingRayleigh beam ...

In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre polynomials where weak form of meshless local Petrov- ...