A new approach for pseudo hyperbolic partial differential equations with nonLocal conditions using Laplace Adomian decomposition method

This paper provides a nonlinear pseudo-hyperbolic partial differential equation with non-local conditions. Despite the importance of this problem, the exact solution to this problem is rare in the literature. Therefore, the Laplace-Adomian Decomposition Method (LADM) is used to provide a new approach to solving this problem. Additionally, we give a comparison between the exact and approximate solutions at various points with absolute error. The obtained result showed that the proposed method is effective and accurate for this problem and can be used for many other evolution of nonlinear equations in mathematical physics.