On the stability of diagonally implicit 2-point block backward differentiation formulae

In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Mohd Zawawi, Iskandar Shah, Ibrahim, Zarina Bibi, Suleiman, Mohamed
التنسيق: Conference or Workshop Item
اللغة:English
منشور في: AIP Publishing LLC 2013
الوصول للمادة أونلاين:http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf
http://psasir.upm.edu.my/id/eprint/57182/
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الوصف
الملخص:In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF).