A MATLAB method of lines template for transport equations

Corrigendum to "A MATLAB method of lines template for transport equations" [Environ. Model. Softw. 19(2004) 603-614]

Solving reaction–diffusion equations 10 times faster

The most popular numerical method for solving systems of reaction–diffusion equations continues to be a low order finite–difference scheme coupled with low order Euler time stepping. This paper extends previous 1D work and reports experiments that show that with high–order methods one can speed up such simulations for 2D and 3D problems by factors of 10–100. A short Matlab code (2/3D) that can ...

Sequential Implicit Numerical Scheme for Pollutant and Heat Transport in a Plane-Poiseuille Flow

A sequential implicit numerical scheme is proposed for a system of partial differential equations defining the transport of heat and mass in the channel flow of a variable-viscosity fluid. By adopting the backward difference scheme for time derivative and the central difference scheme for the spatial derivatives, an implicit finite difference scheme is formulated. The variable-coefficient diffu...

تخمین عملکرد خطوط و ریسک عایقی ناشی از ضربات مستقیم صاعقه با استفاده از روش ترکیبی جدید مبتنی بر روش مونت کارلو

This paper presents a new method, based on analytical relations and Monte Carlo simulation for calculating the lightning performance of overhead lines caused by direct strokes. The aim of the work is to reduce the computing time together with retaining enough accuracy to estimate the line lightning performance and performing the risk analysis of power networks. In the proposed method, some modi...

Development of a Computer Model for the Prediction of Littoral Sediment Transport Rate

In this paper, longshore sediment transport in littoral zones is investigated. For investigation of sediment transport in the nearshore zone, the effects of waves, currents and topographical conditions of coast are considered. Linear wave theory was used for the investigation of the wave behaviour. Governing equations of littoral current are continuity and momentum ones. For calculating concent...