This work presents a proposed Modified Differential Transform Method (MDTM)
for obtaining both closed-form and approximate solutions of initial-value wave-like models with
variable, and constant coefficients. Our results when compared with the exact solutions of
the associated solved problems, show that the method is simple, effective and reliable. The
results are very much in line with their exact forms. The method involves less computational
work without neglecting accuracy. We recommend this simple proposed technique for solving
both linear and nonlinear partial differential equations (PDEs) in other aspects of pure and
applied sciences
