In this study, we discuss the numerical solution of the wave equation subject to non-local conservation condition, using cubic trigonometric B-spline collocation method (CuTBSM). Consider a vibrating elastic string of length L which is located on the x-axis of the interval [0, L].
It is also clear from the examples that the approximate solution is very close to the exact solution. The technique requires smaller computational time than several other methods and the numerical results are found to be in good agreement with known solutions and with existing schemes in the literature.