numerical study of some nonlinear wave equations via chebyshev collocation method

the numerical methods are of great importance for approximating the solutions of nonlinear ordinary or partial differential equations, especially when the nonlinear differential equation under consideration faces difficulties in obtaining its exact solution. in this latter case, we usually resort to one of the efficient numerical methods. in this paper, the chebyshev collocation method is suggested to deal numerically with some nonlinear partial differential equations in mathematical physics.