- International Journal of Engineering and Applied Sciences
- Vol: 8 Issue: 4
- Fourth Order Compact Finite Difference Method for Solving One Dimensional Wave Equation
Fourth Order Compact Finite Difference Method for Solving One Dimensional Wave Equation
Authors : Gemechis File Duressa, Tesfaye Aga Bullo, Gashu Gadisa Kiltu
Pages : 30-39
Doi:10.24107/ijeas.281431
View : 7 | Download : 5
Publication Date : 2016-12-29
Article Type : Research
Abstract :This paper introduces the fourth order compact finite difference method for solving the numerical solution of one-dimensional wave equations. The convergence of the method for the problem under consideration had been investigated. To validate the applicability of the method on the proposed equation, two model examples have been solved for different values of mesh sizes. The numerical results in terms of point wise absolute errors presented in tables and graphs show that the present method approximates the exact solution very well .Keywords : Wave equation, Compact finite difference method, Consistence