An Accurate Block Solver for Stiff Initial Value Problems | Zendy

Hamisu Musa | Zendy; Mohamed Bin Suleiman | Zendy; Fudziah Ismail | Zendy; Norazak Senu | Zendy; Zarina Bibi İbrahim | Zendy

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An Accurate Block Solver for Stiff Initial Value Problems

Author(s) -

Hamisu Musa,

Mohamed Bin Suleiman,

Fudziah Ismail,

Norazak Senu,

Zarina Bibi İbrahim

Publication year - 2013

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2013/567451

Subject(s) - solver , block (permutation group theory) , stability (learning theory) , variable (mathematics) , mathematical optimization , mathematics , block size , value (mathematics) , mode (computer interface) , algorithm , computer science , mathematical analysis , geometry , statistics , key (lock) , computer security , machine learning , operating system

New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size. The stability analysis of the methods indicates their suitability for solving stiff problems. Numerical results are given and compared with some existing backward differentiation formula algorithms. The results indicate an improvement in terms of accuracy.

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