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A Higher Order A-Stable Diagonally Implicit 2-Point Super Class Of Block Extended Backward Differentiation Formula For Solving Stiff Initial Value Problems

Author

Listed:
  • Buhari Alhassan

    (Department of Mathematics and Statistics, Al-Qalam University Katsina, Nigeria)

  • Hamisu Musa

    (Department of Mathematics and Statistics, Umaru Musa Yar’adua University, Katsina, Nigeria.)

Abstract

This paper presents the formulation of higher order diagonally implicit 2-point super class of block extended backward differentiation formula (2DSBEBDF) for solving first order stiff initial value problems. The order of the 2DSBEBDF method is derived and found to be four. The Stability analysis of the method shows that the method is zero-stable and its absolute stability region shows that the method is A-stable within the stiff stability interval -1≤Ï

Suggested Citation

  • Buhari Alhassan & Hamisu Musa, 2025. "A Higher Order A-Stable Diagonally Implicit 2-Point Super Class Of Block Extended Backward Differentiation Formula For Solving Stiff Initial Value Problems," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 9(2), pages 39-48, June.
    • Handle: RePEc:zib:zbmsmk:v:9:y:2025:i:2:p:39-48
    DOI: 10.26480/msmk.02.2025.39.48
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    References listed on IDEAS

    as
    1. Saufianim Jana Aksah & Zarina Bibi Ibrahim & Iskandar Shah Mohd Zawawi, 2019. "Stability Analysis of Singly Diagonally Implicit Block Backward Differentiation Formulas for Stiff Ordinary Differential Equations," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
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