The Zhou’s Method for Solving the Euler Equidimensional Equation

Pedro Pablo Cárdenas Alzate; Jhon Jairo León Salazar; Carlos Alberto Rodríguez Varela

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The Zhou’s Method for Solving the Euler Equidimensional Equation

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In this work, we apply the Zhou’s method 1 or differential transformation method (DTM) for solving the Euler equidimensional equation. The Zhou’s method may be considered as alternative and efficient for finding the approximate solutions of initial values problems. We prove superiority of this method by applying them on the some Euler type equation, in this case of order 2 and 3 2. The power series solution of the reduced equation transforms into an approximate implicit solution of the original equations. The results agreed with the exact solution obtained via transformation to a constant coefficient equation.

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《Applied Mathematics》 |2016年第17期|2165-2173|共9页
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Pedro Pablo Cárdenas Alzate; Jhon Jairo León Salazar; Carlos Alberto Rodríguez Varela;
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2. A study of a finite-difference method for solving gas dynamics equations in the Euler coordinates [J] . Russian journal of numerical analysis and mathematical modelling . 1991,第5期

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3. Direct and Converse Theorems for Iterative Methods of Solving Irregular Operator Equations and Finite Difference Methods for Solving Ill-Posed Cauchy Problems [J] . Bakushinskii A. B., Kokurin M. Yu., Kokurin M. M. Computational mathematics and mathematical physics . 2020,第6期

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The Zhou’s Method for Solving the Euler Equidimensional Equation

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