Open AccessBernoulli Collocation Polynomials Algorithm for Calculus of Variational Problems
Author(s) -
Mohammed Abdelhadi Sarhan
Publication year - 2019
Publication title -
insight-electronic
Language(s) - English
Resource type - Journals
ISSN - 2705-0629
DOI - 10.18282/ie.v1.i1.232
Subject(s) - collocation (remote sensing) , bernoulli's principle , mathematics , calculus (dental) , algorithm , calculus of variations , algebra over a field , computer science , pure mathematics , mathematical analysis , engineering , medicine , dentistry , machine learning , aerospace engineering
This paper presents an approximate method that depends on the Bernoulli Polynomials as basic functions. The method is concerned with collocation technique for solving problems in calculus of variation. Some interesting properties of Bernoulli polynomials are used to reduce the original problem to mathematical problem. Some illustrative examples are described to show the applicability of the proposed method.