An Extension of the Legendre‐Galerkin Method for Solving Sixth ...

The proposed Legendre-Galerkin method for solving variable coefficients problem is more efficient than pseudospectral method. Numerical examples ...

An Extension of the Legendre-Galerkin Method for Solving Sixth ...

We extend the application of Legendre-Galerkin algorithms for sixth-order elliptic problems with constant coefficients to sixth-order ...

An Extension of the Legendre-Galerkin Method for Solving Sixth ...

An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with. Variable Polynomial Coefficients. A. H. ...

An Extension of the Legendre-Galerkin Method for Solving Sixth ...

We extend the application of Legendre-Galerkin algorithms for sixth-order elliptic problems with constant coefficients to sixth-order elliptic equations ...

An Extension of the Legendre-Galerkin Method for Solving Sixth ...

An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with Variable Polynomial Coefficients. A. H. Bhrawy, A. S. Alofi ...

An Extension of the Legendre-Galerkin Method for Solving Sixth ...

An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with Variable Polynomial Coefficients. A. H. Bhrawy ； A. S. ...

Legendre-Galerkin method for sixth-order boundary value problems

... To solve these problems, Khan used the finite difference method [6], Çağlar et al. used the sixth-degree B-spline and collocation methods ...

(PDF) Legendre-Galerkin method for sixth-order ... - Academia.edu

An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with · Efficient Solutions of Multidimensional Sixth-Order ...

Efficient Spectral-Galerkin Method I. Direct Solvers for the Second ...

Abstract. We present some efficient algorithms based on the Legendre-Galerkin approxima- tions for the direct solution of the second and fourth order ...

An Extended Legendre Wavelet Method for Solving Differential ...

Abstract. Although spectral methods such as Galerkin and Tau meth- ods do not work well for solving ordinary differential equations in which,.

New Formulae for the High‐Order Derivatives of Some Jacobi ...

As an application, and with the aid of the new introduced derivatives formulae, an algorithm for solving special sixth-order boundary value ...

Efficient Spectral-Galerkin Method I. Direct Solvers of Second

This paper presents some efficient algorithms based on the Legendre–Galerkin approximations for the direct solution of the second- and fourth-order elliptic ...

Galerkin Method and Its Residual Correction with Modified ...

efficiently for solving initial-value problems [1-6]. ... A study of legendre polynomials approximation for solving initial value problems.

[PDF] Efficient Spectral-Galerkin Method I. Direct Solvers of Second

This paper presents some efficient algorithms based on the Legendre–Galerkin approximations for the direct solution of the second- and fourth-order elliptic ...

A new analysis of Galerkin Legendre spectral methods for coupled ...

We apply Galerkin-Legendre spectral method for discretizing spatial derivatives for MHD-M (MHD flow of Maxwell fluid) equations and then Crank-Nicolson scheme ...

nonlinear galerkin method using legendre polynomials - Purdue Math

A nonlinear Galerkin method using Legendre polynomials is presented for solving linear elliptic and nonlinear dissipative evolution equations. The essential ...

Introduction to Galerkin Methods

These notes provide a brief introduction to Galerkin projection methods for numerical solution of ... Extensions of the Galerkin method to more ...

Legendre multi-Galerkin methods for Fredholm integral equations ...

In this paper, we consider Legendre multi-Galerkin methods to solve Fredholm integral equations of the second kind with weakly singular kernel and the ...

Efficient Chebyshev-Legendre Galerkin methods for elliptic problems

{f(•i)}•v=0 (backward Legendre transform);. 3. Evaluate f and solve v from (6);. N-2. 4. Evaluate u•¾((j) = Ei=0 vi½i((j), j = 0,1,...,N. (forward Legendre ...

Fourierization of the Legendre–Galerkin method and a new space ...

How to design an effective iterative approach capable of solving a large nonlinear systems resulted from the space–time spectral method is a ...