Abstract
In this paper, we present the exact solutions of the partial differential equations in different dimensions with variable coefficients by using reduced differential transform method (RDTM). The advantage of this method is that, it solves the problem directly without the need for linearization, perturbation, or any other transformation, gives the solution in the form of convergent power series with elegantly computed components. Therefore, the solution procedure of the RDTM is simpler than other traditional methods. This method can successfully be applied to solve the heat-like and wave-like equations with variable coefficients.
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