Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability o...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2012, Vol.2012 (2012), p.399-406-135
Hauptverfasser: Zawawi, I. S. M., Ibrahim, Z. B., Ismail, F., Abdul Majid, Zanariah
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Algorithms
Mathematical functions
Mathematical models
Methods
Numerical analysis
Ordinary differential equations
Studies
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Beschreibung
Zusammenfassung:This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods.
ISSN:0161-1712
1687-0425
DOI:10.1155/2012/767328