B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS

BAGHERZADEH, AMIR SABOOR

B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS

AMIR SABOOR BAGHERZADEH (Department of Applied Mathematics, School of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran.)

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics

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Yıl: 2017 Cilt: 7 Sayı: 2 Sayfa Aralığı: 188 - 199 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS

Öz:

In this paper, a collocation method is applied for solving the Kawahara andmodified Kawahara equations. For the spatial discretization, we use the sextic B-splinecollocation (SBSC) method on uniform meshes, finite difference scheme is employed forthe time discretization. The stability analysis of the collocation methods are examined bythe Von Neumann approach. Numerical results demonstrate the efficiency and accuracyof the proposed methods

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	BAGHERZADEH A (2017). B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. , 188 - 199.
Chicago	BAGHERZADEH AMIR SABOOR B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. (2017): 188 - 199.
MLA	BAGHERZADEH AMIR SABOOR B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. , 2017, ss.188 - 199.
AMA	BAGHERZADEH A B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. . 2017; 188 - 199.
Vancouver	BAGHERZADEH A B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. . 2017; 188 - 199.
IEEE	BAGHERZADEH A "B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS." , ss.188 - 199, 2017.
ISNAD	BAGHERZADEH, AMIR SABOOR. "B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS". (2017), 188-199.

APA	BAGHERZADEH A (2017). B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 7(2), 188 - 199.
Chicago	BAGHERZADEH AMIR SABOOR B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 7, no.2 (2017): 188 - 199.
MLA	BAGHERZADEH AMIR SABOOR B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.7, no.2, 2017, ss.188 - 199.
AMA	BAGHERZADEH A B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2017; 7(2): 188 - 199.
Vancouver	BAGHERZADEH A B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2017; 7(2): 188 - 199.
IEEE	BAGHERZADEH A "B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS." TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 7, ss.188 - 199, 2017.
ISNAD	BAGHERZADEH, AMIR SABOOR. "B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS". TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 7/2 (2017), 188-199.