A New Algorithm for Solving Terminal Value Problems of -Difference Equations

Yong-Hong Fan and Lin-Lin Wang

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-7

Abstract:

We propose a new algorithm for solving the terminal value problems on a -difference equations. Through some transformations, the terminal value problems which contain the first- and second-order delta-derivatives have been changed into the corresponding initial value problems; then with the help of the methods developed by Liu and H. Jafari, the numerical solution has been obtained and the error estimate has also been considered for the terminal value problems. Some examples are given to illustrate the accuracy of the numerical methods we proposed. By comparing the exact solution with the numerical solution, we find that the convergence speed of this numerical method is very fast.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8509860

DOI: 10.1155/2018/8509860

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