Solution of nonlinear equations and computation of multiple solutions of a simple reaction-diffusion equation

Adrian Swift*, Easwaran Balakrishnan

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

ملخص

The first part of this paper starts with a brief discussion of some methods for solution of nonlinear equations which have interested the first author over the last twenty years or so. In the second part we discuss a recent research involvement, the success of which relies heavily on the numerical solution of nonlinear equation systems. We briefly describe path-following methods and then present an application to a simple steady-state reactiondiffusion equation arising in combustion theory. Results for some regular geometric shapes are shown and compared with those from an approximate method. 7

اللغة الأصليةEnglish
الصفحات (من إلى)55-64
عدد الصفحات10
دوريةANZIAM Journal
مستوى الصوت42
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2000
منشور خارجيًانعم

ASJC Scopus subject areas

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