Application of double natural transform to one-dimensional heat equations
Abstract
This paper presents the application of double Natural transform method to solve one-dimensional heat equations 𝜕𝑈(𝑥,𝑡)𝜕𝑡=𝜕2𝑈(𝑥,𝑡)𝜕𝑥2+𝑓(𝑥,𝑡) under the given conditions. The Double Natural Transform (DNT) method is a general method thus provide a wider domain of the application and it can be observed by the work of Eshag [6] where the obtained results are comparable with the solutions from the literature with the help of double Laplace and double Sumudu transform methods. The results in this study were calculated numerically by using suitable values of parameters and interpreted graphically.
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