Scientific Research Publishing

Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method ()

College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China. Many phenomena in engineering physics, ...
Scientific Research Publishing

Discontinuous Legendre Wavelet Galerkin Method for One-Dimensional Advection-Diffusion Equation ()

This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving one-dimensional advection-diffusion equation (ADE). Variational formulation of this type equation and ...
GitHub

Two questions about the Legendre-Galerkin method for the Cahn-Hilliard equation

For the Allen-Cahn equation with homogeneous Neumann and periodic boundary conditions, I implement the code with Legendre and Fourier Galerkin method. Now, I have two questions about the ...
IEEE

Legendre Wavelet Based Numerical Solution of One-Dimensional Space-Time Fractional Order Diffusion Equation: An Eigenfunction Approach

Abstract: An efficient numerical technique has been used in the proposed work to deal with the space-time fractional diffusion model in which the space derivative is considered a Riemann-Liouville (RL ...
IEEE

DGLG: A Novel Deep Generalized Legendre–Galerkin Approach to Optimal Filtering Problem

Abstract: The optimal filtering problem for general nonlinear and continuous state-observation systems attracts lots of attention in the control theory. The essence of optimal filtering requires ...