Abstract: The paper presents a review of Differential Transform Method (DTM) to solve non-linear heat equations. The method reduces the large amount of computational methods when non-linear problems need to be solved. The solutions obtained are exact to the high power of derivatives. After a brief discussion of the methods available, the method was used to solve an example with two variables. Approximate and exact solutions were developed for two derivatives, and the accuracy of DTM is evident in solving non-linear heat equations.
Keywords: Non-linear equations, heat equation, differential transform method.
Title: Using Differential Transform Method to Solve Non-Linear Heat Equation
Author: Yousef A. S. M. Alsulaiman
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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