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Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation

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  • Shazalina Mat Zin
  • Ahmad Abd Majid
  • Ahmad Izani Md. Ismail
  • Muhammad Abbas

Abstract

The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semi-implicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinear Klien-Gordon equation. The usual finite difference approach is used to discretize the time derivative while hybrid cubic B-spline is applied as an interpolating function in the space dimension. The results of applications to several test problems indicate good agreement with known solutions.

Suggested Citation

  • Shazalina Mat Zin & Ahmad Abd Majid & Ahmad Izani Md. Ismail & Muhammad Abbas, 2014. "Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:108560
    DOI: 10.1155/2014/108560
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    Cited by:

    1. Karakoc, Seydi Battal Gazi & Saha, Asit & Sucu, Derya Yıldırım, 2023. "A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada–Kotera equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 12-27.

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