Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
ON THE NUMERICAL SOLUTION OF THE KLEIN-GORDON EQUATION BY EXPONENTIAL CUBIC B-SPLINECOLLOCATION METHOD
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 412–421
- DOI
- —
Abstract
In the present study, we solve initial boundary value problem constructed on nonlinear Klein-Gordon equation. The collocation method on exponential cubic B-spline functions forming a set of basis for the functions deÖned in the same interval is set up for the numerical approach. The e¢ ciencyand validity of the proposed method are determined by computing the errorbetween the numerical and the analytical solutions and relative change of theconserved quantities.