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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Main Authors: I. S. M. Zawawi, Z. B. Ibrahim, F. Ismail, Z. A. Majid
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/767328
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spelling doaj-4ef4b34928ef45d380e2ca98e365f4b22020-11-24T22:58:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/767328767328Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential EquationsI. S. M. Zawawi0Z. B. Ibrahim1F. Ismail2Z. A. Majid3Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaThis 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.http://dx.doi.org/10.1155/2012/767328
collection DOAJ
language English
format Article
sources DOAJ
author I. S. M. Zawawi
Z. B. Ibrahim
F. Ismail
Z. A. Majid
spellingShingle I. S. M. Zawawi
Z. B. Ibrahim
F. Ismail
Z. A. Majid
Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
International Journal of Mathematics and Mathematical Sciences
author_facet I. S. M. Zawawi
Z. B. Ibrahim
F. Ismail
Z. A. Majid
author_sort I. S. M. Zawawi
title Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
title_short Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
title_full Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
title_fullStr Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
title_full_unstemmed Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
title_sort diagonally implicit block backward differentiation formulas for solving ordinary differential equations
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/767328
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AT fismail diagonallyimplicitblockbackwarddifferentiationformulasforsolvingordinarydifferentialequations
AT zamajid diagonallyimplicitblockbackwarddifferentiationformulasforsolvingordinarydifferentialequations
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