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

In this paper, a collocation method is applied for solving the Kawahara and modified Kawahara equations. For the spatial discretization, we use the sextic B-spline collocation (SBSC) method on uniform meshes, finite difference scheme is employed for the time discretization. The stability analysis of...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 7; no. 2; p. 188
Main Author Bagherzadeh, Amir Saboor
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.12.2017
Elman Hasanoglu
Subjects
Collocation methods
Differential equations
Discretization
Flow (Dynamics)
Mathematical analysis
Mathematical research
Methods
Nonlinear differential equations
Nonlinear programming
Numerical analysis
Plasma physics
Spline theory
Stability analysis
Water waves
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ISSN2146-1147
2146-1147

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Summary:In this paper, a collocation method is applied for solving the Kawahara and modified Kawahara equations. For the spatial discretization, we use the sextic B-spline collocation (SBSC) method on uniform meshes, finite difference scheme is employed for the time discretization. The stability analysis of the collocation methods are examined by the Von Neumann approach. Numerical results demonstrate the efficiency and accuracy of the proposed methods.Keywords: Kawahara and modified Kawahara equation, sixth degree B-splines, collocation method, recurrence system of equations, stability analysis, numerical experience.AMS Subject Classification: 83-02, 99A00
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ISSN:2146-1147
2146-1147