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Block backward differentiation methods for single delay differential equations

This thesis concerns mainly in modifying existence method of Block Backward Differentiation Formulas (BBDFs) for solving stiff single Delay Differential Equations (DDEs). The method involved will solve the first order single DDEs using constant stepsize. The general equation for single DDEs is given...

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Main Author: Heng, Siaw Ching
Format: Thesis
Language:English
Published: 2012
Online Access:http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf
http://psasir.upm.edu.my/id/eprint/33657/
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spelling my.upm.eprints.336572015-03-31T06:24:31Z http://psasir.upm.edu.my/id/eprint/33657/ Block backward differentiation methods for single delay differential equations Heng, Siaw Ching This thesis concerns mainly in modifying existence method of Block Backward Differentiation Formulas (BBDFs) for solving stiff single Delay Differential Equations (DDEs). The method involved will solve the first order single DDEs using constant stepsize. The general equation for single DDEs is given as follows showed the method gave good results in term in maximum error and comparable results in term of execution time. In addition, the stability region of BBDFs method is obtained and it is applied to solve DDEs. The illustrations of the stability region are presented. In conclusion, the Block Backward Differentiation Formulas method is appropriate for solving the first order stiff single Delay Differential Equations. [formula] The method is adapted with Newton Divided Difference interpolation to approximate delay term. The performance of 2-point BBDFs method and 3-point BBDFs method is compared with classical 1-point Backward Differentiation Formulas (BDFs). The source code is written in C language. Numerical results showed the method gave good results in term in maximum error and comparable results in term of execution time. In addition, the stability region of BBDFs method is obtained and it is applied to solve DDEs. The illustrations of the stability region are presented. In conclusion, the Block Backward Differentiation Formulas method is appropriate for solving the first order stiff single Delay Differential Equations 2012-11 Thesis NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf Heng, Siaw Ching (2012) Block backward differentiation methods for single delay differential equations. Masters thesis, Universiti Putra Malaysia.
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This thesis concerns mainly in modifying existence method of Block Backward Differentiation Formulas (BBDFs) for solving stiff single Delay Differential Equations (DDEs). The method involved will solve the first order single DDEs using constant stepsize. The general equation for single DDEs is given as follows showed the method gave good results in term in maximum error and comparable results in term of execution time. In addition, the stability region of BBDFs method is obtained and it is applied to solve DDEs. The illustrations of the stability region are presented. In conclusion, the Block Backward Differentiation Formulas method is appropriate for solving the first order stiff single Delay Differential Equations. [formula] The method is adapted with Newton Divided Difference interpolation to approximate delay term. The performance of 2-point BBDFs method and 3-point BBDFs method is compared with classical 1-point Backward Differentiation Formulas (BDFs). The source code is written in C language. Numerical results showed the method gave good results in term in maximum error and comparable results in term of execution time. In addition, the stability region of BBDFs method is obtained and it is applied to solve DDEs. The illustrations of the stability region are presented. In conclusion, the Block Backward Differentiation Formulas method is appropriate for solving the first order stiff single Delay Differential Equations
format Thesis
author Heng, Siaw Ching
spellingShingle Heng, Siaw Ching
Block backward differentiation methods for single delay differential equations
author_facet Heng, Siaw Ching
author_sort Heng, Siaw Ching
title Block backward differentiation methods for single delay differential equations
title_short Block backward differentiation methods for single delay differential equations
title_full Block backward differentiation methods for single delay differential equations
title_fullStr Block backward differentiation methods for single delay differential equations
title_full_unstemmed Block backward differentiation methods for single delay differential equations
title_sort block backward differentiation methods for single delay differential equations
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf
http://psasir.upm.edu.my/id/eprint/33657/
_version_ 1643830934094479360
score 13.211869

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