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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التفاصيل البيبلوغرافية
المؤلف الرئيسي:	Heng, Siaw Ching
التنسيق:	أطروحة
اللغة:	English
منشور في:	2012
الموضوعات:	Differential equations - Numerical solutions
الوصول للمادة أونلاين:	http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf
الوسوم:	إضافة وسم لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!

id	my-upm-ir.33657
record_format	uketd_dc
spelling	my-upm-ir.336572015-03-31T06:24:31Z Block backward differentiation methods for single delay differential equations 2012-11 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 Differential equations - Numerical solutions 2012-11 Thesis http://psasir.upm.edu.my/id/eprint/33657/ http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf application/pdf en public masters Universiti Putra Malaysia Differential equations - Numerical solutions
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Differential equations - Numerical solutions
spellingShingle	Differential equations - Numerical solutions Heng, Siaw Ching Block backward differentiation methods for single delay differential equations
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
qualification_level	Master's degree
author	Heng, Siaw Ching
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
granting_institution	Universiti Putra Malaysia
publishDate	2012
url	http://psasir.upm.edu.my/id/eprint/33657/1/FS%202012%2090%20IR.pdf
_version_	1747811705172262912

Block backward differentiation methods for single delay differential equations

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