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Polynomial Integral Transform for Solving Differential Equations

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

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Author Name

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Abstract (2. Language): 
In this paper, we propose Polynomial Integral Transform for solving differential equations. Unlike the Laplace Transform and others, the Polynomial Integral Transform solves differential equations with a little computational effort as well as time. In addition, the Polynomial Integral Transform entails a polynomial function as its kernel, which ensures the rapid convergence of the solution to a differential equation. Thus, this method transforms a linear differential equation into an algebraic equation, from which the solution is obtained. Moreover, we show the applicabilities of the Polynomial Integral Transform and its properties.
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