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Information Journal Paper

Title

PETROV-GALERKIN FINITE ELEMENT METHOD FOR SOLVING THE MRLW EQUATION

Pages

  1-10

Abstract

 In this article, a PETROV-GALERKIN method, in which the element shape functions are cubic and weight functions are quadratic B-splines, is introduced to solve the modified regularized long wave (MRLW) equation. The solitary wave motion, interaction of two and three SOLITARY WAVES, and development of the Maxwellian initial condition into SOLITARY WAVES are studied using the proposed method. Accuracy and efficiency of the method are demonstrated by computing the numerical conserved laws and L2, L ¥ error norms. The computed results show that the present scheme is a successful numerical technique for solving the MRLW EQUATION. A linear stability analysis based on the Fourier method is also investigated.

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    APA: Copy

    GAZI KARAKOC, SEYDI BATTAL, & GEYIKLI, TURABI. (2013). PETROV-GALERKIN FINITE ELEMENT METHOD FOR SOLVING THE MRLW EQUATION. MATHEMATICAL SCIENCES, 7(-), 1-10. SID. https://sid.ir/paper/322659/en

    Vancouver: Copy

    GAZI KARAKOC SEYDI BATTAL, GEYIKLI TURABI. PETROV-GALERKIN FINITE ELEMENT METHOD FOR SOLVING THE MRLW EQUATION. MATHEMATICAL SCIENCES[Internet]. 2013;7(-):1-10. Available from: https://sid.ir/paper/322659/en

    IEEE: Copy

    SEYDI BATTAL GAZI KARAKOC, and TURABI GEYIKLI, “PETROV-GALERKIN FINITE ELEMENT METHOD FOR SOLVING THE MRLW EQUATION,” MATHEMATICAL SCIENCES, vol. 7, no. -, pp. 1–10, 2013, [Online]. Available: https://sid.ir/paper/322659/en

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