Semi-Numerical Analytical Solution to Linear and Nonlinear Heat Equations via the Reduced Differential Transformation Method

In this study, the reduced differential transform method (RDTM) is employed to obtain approximate analytical solution to different kinds of heat equations. These kinds of heat equations include linear, nonlinear, homogeneous and non-homogeneous types. The solution is easily and accurately calculated in the form of convergent power series. The very small relative error occurs after few numbers of steps shows the powerful, efficiency, and effectiveness of the method. Hence, the proposed technique is a hopeful tool to solve these kinds of heat equations