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

Zin, Shazalina Mat and Majid, Ahmad Abd and Ismail, Ahmad Izani Md. and Abbas, Muhammad (2014) Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation. Mathematical Problems in Engineering, 2014 (108560). pp. 1-10. ISSN 1024-123X

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Abstract

The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semiimplicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinearKlien-Gordon equation. Theusual finite difference approach is used to discretize the time derivativewhile 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.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Article
Depositing User: Mr Noorazilan Noordin
Date Deposited: 11 Jan 2018 09:16
Last Modified: 17 Aug 2018 03:05
URI: http://eprints.usm.my/id/eprint/38353

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