ON THE NUMERICAL SOLUTION OF THE KLEIN-GORDON EQUATION BY EXPONENTIAL CUBIC B-SPLINE COLLOCATION METHOD

Ersoy Hepson, ÖZLEM; Korkmaz, Alper; Dağ, İDİRİS

doi:10.31801/cfsuasmas.425491

ON THE NUMERICAL SOLUTION OF THE KLEIN-GORDON EQUATION BY EXPONENTIAL CUBIC B-SPLINE COLLOCATION METHOD

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.412-421, 2019 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 68 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.31801/cfsuasmas.425491
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.412-421
Anahtar Kelimeler: Klein-Gordon Equation, exponential cubic B-spline, collocation, wave motion, SCATTERING-THEORY, DERIVATION
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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 de.ned in the same interval is set up for the numerical approach. The efficiency and validity of the proposed method are determined by computing the error between the numerical and the analytical solutions and relative change of the conserved quantities.