May 20, 2006 · Our goal is to design a class of temporal schemes which treats the stiff reaction implicitly and integrates the diffusion exactly, but with a ...

Nov 15, 2005 · When explicit time discretization schemes are applied to stiff reaction–diffusion equations, the stability constraint on the.

Jul 15, 2024 · In stiff reaction–diffusion equations, whiles explicit time discretization schemes are utilized, the stability constraint on the time step ...

A distinctive feature of the scheme is the decoupling between the exact evaluation of the diffusion terms and implicit treatment of the nonlinear reaction terms ...

In this paper, we introduce a new class of semi-implicit schemes, which treats the linear diffusions exactly and explicitly, and the nonlinear reactions ...

In this paper, we introduce a new class of semi-implicit schemes, which treats the linear diffusions exactly and explicitly, and the nonlinear reactions ...

Sep 18, 2024 · In this work, we developed and analyzed the semi-implicit schemes based on Taylor expansion for solving ordinary differential equations (ODEs) ...

In a previous study [21], a class of efficient semi-implicit schemes was developed for stiff reaction-diffusion systems. This method which treats linear ...

An efficient semi-implicit method for integration of stiff systems of MHD equations is considered. A comparison is made of the numerical results obtained ...

Abstract. The main purpose of the paper is to show how to use implicit-explicit (IMEX) Runge-. Kutta methods in a much more general context than usually ...