A fast method for solving time|dependent nonlinear convection ...

A fast method for solving time-dependent nonlinear convection ...

In this paper, a fast scheme for solving unsteady nonlinear convection diffusion problems is proposed and analyzed. At each step, we firstly isolate a ...

A fast method for solving time-dependent nonlinear convection ...

A fast method for solving time-dependent nonlinear convection diffusion problems. Qian He1, Wenxin Du1, Feng Shi1,∗and Jiaping Yu2. 1 College ...

A fast algorithm to solve systems of nonlinear equations

Besides, by a numerical example in which a two-dimensional nonlinear convection–diffusion equation is solved, we compare the new method and the Newton–HSS ...

A Localized Space-Time Method of Fundamental Solutions for ...

In this paper, a localized space-time method of fundamental solutions (LSTMFS) is proposed to solve the diffusion and convection-diffusion problems.

Difference potentials method for the nonlinear convection-diffusion ...

To cite some of their recent works, in [6] they provided an efficient and higher-order numerical scheme for the solution of a singularly ...

Fast explicit operator splitting method for convection-diffusion ...

The case of a nonlinear flux f is much more complicated since the solution may develop jump discontinuities in the process of 'hyperbolic evolution'. In this ...

Fast IIF–WENO Method on Non-uniform Meshes for Nonlinear ...

In this article, our goal is to establish fast and efficient numerical methods for nonlinear space-fractional convection–diffusion–reaction (CDR) equations in ...

Tensor Network Space-Time Spectral Collocation Method for ... - arXiv

Here, we extend this methodology to the nonlinear time-dependent convection-diffusion equation. Our discretization scheme exhibits a low-rank ...

Higher Order Implicit Scheme for Nonlinear Time-Dependent ...

It is proposed that a higher order numerical scheme of finite difference method be used in conjunction with an iterative approach in order to solve the ...

A Time-Space Finite Element Method for Nonlinear Convection ...

This technique may be repeatedly applied to obtain further parts of the solution in subsequent time-intervals. It will be shown that, with the method proposed, ...

New analytical method for solving nonlinear time-fractional reaction ...

Our obtained results are given in the form of a new theorem. The advantage of the proposed method compared with the existing methods is, that ...

A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for ...

A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation · Add to favorites ...

High-order finite element methods for nonlinear convection-diffusion ...

... methods. A high-order finite element method is proposed to solve the nonlinear convection-diffusion equation on a time-varying domain whose boundary is ...

Finite element methods for time-dependent convection–diffusion ...

The modifications are based on an auxiliary solution which is computed with a non-oscillatory explicit scheme. This paper presents first steps in identifying ...

The Modified Localized Method of Approximated Particular ...

... method, time-dependent PDEs, method of approxi- ... The proposed scheme has outstanding performance for solving convection-diffusion problem and nonlinear ...

Tensor Network Space-Time Spectral Collocation Method for ... - arXiv

Here, we extend this methodology to the nonlinear time-dependent convection-diffusion equation. Our discretization scheme exhibits a low-rank structure.

Finite Element Method Usage Tips

The solution of partial differential equations can be time consuming. This is particularly true for large-scale nonlinear PDEs. To monitor the solution process ...

Improving Convergence of Transient Models - Knowledge Base

Tuning of the time-dependent solver ... For problems involving diffusion, convection, and reactions which are by default solved using the BDF method with free ...

Finite Point Method of Nonlinear Convection Diffusion Equation

This section gives a brief introduction to the moving least squares approximation method. In the solution interval [0, L], the unknown functions u(x) can be ...

A high-order numerical scheme for multidimensional convection ...

This paper considers a high-order numerical method for a computed solution of multidimensional convection-diffusion-reaction equation with time-fractional ...