Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations

The method of undetermined coefficients is used to derive the predictor-corrector equations for the second, third and fourth orders. The general form of equation of a multistep method is yn+1 = a y n-j + h j=1 bjf(xn-j,yn-j), where n = k. The derived equations give results that are satisf...

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Main Author:	Yap, Virginia G.
Format:	text
Language:	English
Published:	Animo Repository 1985
Subjects:	Numerical analysis Differential equations > Numerical solutions
Online Access:	https://animorepository.dlsu.edu.ph/etd_bachelors/15993
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Institution:	De La Salle University
Language:	English

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spelling	oai:animorepository.dlsu.edu.ph:etd_bachelors-165062021-11-13T03:54:02Z Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations Yap, Virginia G. The method of undetermined coefficients is used to derive the predictor-corrector equations for the second, third and fourth orders. The general form of equation of a multistep method is yn+1 = a y n-j + h j=1 bjf(xn-j,yn-j), where n = k. The derived equations give results that are satisfactory and better than the known method, that is, the Adams method. Predictor-corrector algorithm is also shown by approximating an ODE at certain point x. It is also proven that predictor-corrector pairs can be interchanged (e.g. Adams predictor with Milne's corrector). 1985-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/15993 Bachelor's Theses English Animo Repository Numerical analysis Differential equations--Numerical solutions
institution	De La Salle University
building	De La Salle University Library
continent	Asia
country	Philippines Philippines
content_provider	De La Salle University Library
collection	DLSU Institutional Repository
language	English
topic	Numerical analysis Differential equations--Numerical solutions
spellingShingle	Numerical analysis Differential equations--Numerical solutions Yap, Virginia G. Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
description	The method of undetermined coefficients is used to derive the predictor-corrector equations for the second, third and fourth orders. The general form of equation of a multistep method is yn+1 = a y n-j + h j=1 bjf(xn-j,yn-j), where n = k. The derived equations give results that are satisfactory and better than the known method, that is, the Adams method. Predictor-corrector algorithm is also shown by approximating an ODE at certain point x. It is also proven that predictor-corrector pairs can be interchanged (e.g. Adams predictor with Milne's corrector).
format	text
author	Yap, Virginia G.
author_facet	Yap, Virginia G.
author_sort	Yap, Virginia G.
title	Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
title_short	Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
title_full	Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
title_fullStr	Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
title_full_unstemmed	Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
title_sort	derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
publisher	Animo Repository
publishDate	1985
url	https://animorepository.dlsu.edu.ph/etd_bachelors/15993
_version_	1772834998411329536

Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations

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