PhD Candidate Shazalina Mat Zin

Committee: International Scientific Committee of Mathematical and Computational Sciences
University: University Sains Malaysia
Department:
Research Fields: collocation method, cubic trigonometric B-spline, finite difference, wave equation,

Publications

1 Cubic Trigonometric B-spline Approach to Numerical Solution of Wave Equation

Authors: Ahmad Izani Md. Ismail, Muhammad Abbas, Shazalina Mat Zin, Ahmad Abd. Majid

Abstract:

The generalized wave equation models various problems in sciences and engineering. In this paper, a new three-time level implicit approach based on cubic trigonometric B-spline for the approximate solution of wave equation is developed. The usual finite difference approach is used to discretize the time derivative while cubic trigonometric B-spline is applied as an interpolating function in the space dimension. Von Neumann stability analysis is used to analyze the proposed method. Two problems are discussed to exhibit the feasibility and capability of the method. The absolute errors and maximum error are computed to assess the performance of the proposed method. The results were found to be in good agreement with known solutions and with existing schemes in literature.

Keywords: Finite Difference, Wave Equation, collocation method, cubic trigonometric B-spline

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2194

Abstracts

1 Cubic Trigonometric B-Spline Approach to Numerical Solution of Wave Equation

Authors: Ahmad Izani Md. Ismail, Muhammad Abbas, Shazalina Mat Zin, Ahmad Abd. Majid

Abstract:

The generalized wave equation models various problems in sciences and engineering. In this paper, a new three-time level implicit approach based on cubic trigonometric B-spline for the approximate solution of wave equation is developed. The usual finite difference approach is used to discretize the time derivative while cubic trigonometric B-spline is applied as an interpolating function in the space dimension. Von Neumann stability analysis is used to analyze the proposed method. Two problems are discussed to exhibit the feasibility and capability of the method. The absolute errors and maximum error are computed to assess the performance of the proposed method. The results were found to be in good agreement with known solutions and with existing schemes in literature.

Keywords: Finite Difference, Wave Equation, collocation method, cubic trigonometric B-spline

Procedia PDF Downloads 266