Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations
Date of Publication
1985
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Applied Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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).
Abstract Format
html
Language
English
Format
Accession Number
TU05759
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
39 leaves
Keywords
Numerical analysis; Differential equations--Numerical solutions
Recommended Citation
Yap, V. G. (1985). Derivation and comparison of predictor-corrector methods in the numerical solution of ordinary differential equations. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/15993
