NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Yildiz Technical Univ

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The purpose of this work is obtain the numerical approximate solutions of the nonlinear modified Burgers' equation (MBE) via the modified cubic B-spline (MCB) differential quadrature methods (DQMs). The accuracy and effectiveness of the methods are measured and reported by finding out error normsL(2) and L-infinity. The present numerical results have been compared with some earlier studies and this comparison clearly indicates that the method is an outstanding numerical scheme for the solution of the MBE. A stability analysis has at the same time been given.

Açıklama

Anahtar Kelimeler

Differential quadrature method, modified Burgers' equation, B-spline, Runge-Kutta method

Kaynak

Sigma Journal of Engineering and Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisi

WoS Q Değeri

N/A

Scopus Q Değeri

N/A

Cilt

37

Sayı

1

Künye