A software on linear difference equation with constant coefficients: An alternative to the method of undetermined coefficient
Date of Publication
1995
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
A difference equation is an equation relating the values of a function y and one or more of its differences y, 2y, 3y, ... for each x-value and it is said to be linear with constant coefficients if it can be written in the form y(x+n) + a1, y(x+n-1) + ... + 3n-1 y(x+1) + ayn (x) = r(x) where a1 a2 ... an are constants and r(x) is an arbitrary function defined for x = 1.2.3. ... [3]This thesis presented an alternative method in finding the particular solution of a linear difference equation in which the method of undetermined coefficients is applicable. The alternative method was developed by R.C. Gupta in his article entitled On Linear Difference Equations with Constant Coefficients: An alternative to the method of undetermined coefficients . Properties of operators and preliminary concepts on difference equations which are necessary in the discussions were also presented in this paper. Furthermore, this paper also presented an algorithm in finding the different solutions of a second order linear difference equation which was developed in a computer program.
Abstract Format
html
Language
English
Format
Accession Number
TU07032
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
98 numb. leaves
Keywords
Computer software; Linear programming; Differential equations, Linear; Mathematical constants; Programming (Mathematics)
Recommended Citation
Aclaro, B. B., & Logasca, I. S. (1995). A software on linear difference equation with constant coefficients: An alternative to the method of undetermined coefficient. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16232
