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  5. Application of double natural transform to one-dimensional heat equations
 
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Application of double natural transform to one-dimensional heat equations

Journal
Applied Mathematics and Computational Intelligence (AMCI)
Date Issued
2020-12
Author(s)
Ravi Kumar Jain
Manipal University Jaipur
Alok Bhargava
Manipal University Jaipur
Handle (URI)
https://ejournal.unimap.edu.my/
https://ejournal.unimap.edu.my/index.php/amci/article/view/161/128
https://hdl.handle.net/20.500.14170/2948
Abstract
This paperpresentsthe 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 widerdomain of the application and it can be observedby the work of Eshag [6]wherethe obtained results arecomparable with the solutions fromthe 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 andinterpretedgraphically.
Subjects
  • Double laplace transf...

  • Double natural transf...

  • Double Sumudu transfo...

  • Natural transform

  • One-dimensional heat ...

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Application of Double Natural Transform to One-Dimensional Heat Equations.pdf (855.01 KB)
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