Vibrating Membrane Problem Solved using Spline Collocation Method with Dirichlet Conditions

In this paper, two-dimensional equation, subject to Dirichlet initial boundary conditions is presented, and a Spline Collocation Method is utilized for solving the problem. Also, Spline provides continuous solution, in contrast to another method, which only provides discrete approximations. It is found that this method is a powerful mathematical tool and can be applied to a large class of linear and nonlinear problems in different fields of science and technology. Numerical results obtained by the present method are in good agreement with the analytical solutions available in the literature.