TY - JOUR
T1 - Bezier Polynomials and its Applications with the Tenth and Twelfth Order Boundary Value Problems
AU - Nazrul Islam
JO - Journal of Information and Computing Science
VL - 1
SP - 052
EP - 066
PY - 2020
DA - 2020/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22397.html
KW - 
AB -  The &nbsp;aim &nbsp;of &nbsp;this &nbsp;paper &nbsp;is &nbsp;to &nbsp;apply &nbsp;Galerkin &nbsp;weighted &nbsp;residual &nbsp;method &nbsp;for &nbsp;solving &nbsp;tenth &nbsp;and 
twelfth &nbsp;order &nbsp;linear &nbsp;and &nbsp;nonlinear &nbsp;boundary &nbsp;value &nbsp;problems &nbsp;(BVPs). &nbsp;A &nbsp;trial &nbsp;function &nbsp;is &nbsp;assumed &nbsp;which &nbsp;is 
made &nbsp;to &nbsp;satisfy &nbsp;the &nbsp;boundary &nbsp;conditions &nbsp;given, &nbsp;and &nbsp;used &nbsp;to &nbsp;generate &nbsp;the &nbsp;residual &nbsp;to &nbsp;be &nbsp;minimized. &nbsp;The 
method &nbsp;is &nbsp;formulated &nbsp;as &nbsp;a rigorous matrix form. &nbsp;To &nbsp;investigate &nbsp;the &nbsp;effectiveness of &nbsp;the method, &nbsp;numerical 
examples were considered which were compared with both the analytic solutions and the solutions obtained 
by our method. It is observed that, the proposed method is very accurate, better, efficient and appropriate. All 
problems are computed using the software MATLAB. &nbsp;