Eventual periodicity of the forced oscillations for a Korteweg–de Vries type equation on a bounded domain using a sinc collocation method

Kamel Al-Khaled, Nicholas Haynes, William Schiesser, Muhammad Usman*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمقالمراجعة النظراء

22 اقتباسات (Scopus)

ملخص

We demonstrate numerically the eventual time periodicity of solutions u(.,t) to the Korteweg–de Vries type equation with periodic forcing at one end using the sinc-collocation method. This method approximates the space dimension of the solution with a cardinal expansion of sinc functions, thus allowing the avoidance of a costly finite difference grid for a third order boundary value problem. The first order time derivative is approximated with a θ-weighted finite difference method. The sinc-collocation method was found to be more robust and more efficient than other numerical schemes when applied to this problem.

اللغة الأصليةEnglish
الصفحات (من إلى)417-428
عدد الصفحات12
دوريةJournal of Computational and Applied Mathematics
مستوى الصوت330
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مارس 1 2018
منشور خارجيًانعم

ASJC Scopus subject areas

  • ???subjectarea.asjc.2600.2605???
  • ???subjectarea.asjc.2600.2604???

بصمة

أدرس بدقة موضوعات البحث “Eventual periodicity of the forced oscillations for a Korteweg–de Vries type equation on a bounded domain using a sinc collocation method'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا