A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems

Abstract

In this paper we used two numerical methods to investigate propagating heat solutions of PDEs. The explicit and Crank-Nicolson methods and the results show that Crank-Nicolson method is more accurate than the explicit method. As an illustration, we used the above method to an autocatalytic reaction diffusion equations involving two diffusing chemicals in one dimension. Keywords: Crank-Nicolson Method, explicit, autocatalytic reaction diffusion equations. ‫انك‬ ‫كر‬ ‫طريقة‬ -‫نيكولسون‬ ‫االنتشار‬ ‫ذاتي‬ ‫تفاعل‬ ‫لنظم‬ ‫البياتي‬ ‫يونس‬ ‫عباس‬ ‫منا‬ ‫عبدهللا‬ ‫سعد‬ ‫ع‬ ‫الرو‬ ‫امين‬ ‫محمد‬ ‫عبدالغفور‬ ‫ژ‬ ‫بياني‬ ‫الموصل/العراق‬ ‫والرياضيات/جامعة‬ ‫الحاسوب‬ ‫علوم‬ ‫كلية‬ ‫البحث:‬ ‫استالم‬ ‫تاريخ‬ 15 / 1 / 2005 ‫ت‬ ‫البحث:‬ ‫قبول‬ ‫اريخ‬ 30 / 5 / 2005 ‫الملخص‬