A New Algorithm for Solving Terminal Value Problems of q-Difference Equations
We propose a new algorithm for solving the terminal value problems on a q-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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8509860 |
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| _version_ | 1849413439158484992 |
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| author | Yong-Hong Fan Lin-Lin Wang |
| author_facet | Yong-Hong Fan Lin-Lin Wang |
| author_sort | Yong-Hong Fan |
| collection | DOAJ |
| description | We propose a new algorithm for solving the terminal value problems on a q-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. |
| format | Article |
| id | doaj-art-69f90701fdc04c3abd40a5f30c8e4d97 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-69f90701fdc04c3abd40a5f30c8e4d972025-08-20T03:34:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/85098608509860A New Algorithm for Solving Terminal Value Problems of q-Difference EquationsYong-Hong Fan0Lin-Lin Wang1School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaWe propose a new algorithm for solving the terminal value problems on a q-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.http://dx.doi.org/10.1155/2018/8509860 |
| spellingShingle | Yong-Hong Fan Lin-Lin Wang A New Algorithm for Solving Terminal Value Problems of q-Difference Equations Discrete Dynamics in Nature and Society |
| title | A New Algorithm for Solving Terminal Value Problems of q-Difference Equations |
| title_full | A New Algorithm for Solving Terminal Value Problems of q-Difference Equations |
| title_fullStr | A New Algorithm for Solving Terminal Value Problems of q-Difference Equations |
| title_full_unstemmed | A New Algorithm for Solving Terminal Value Problems of q-Difference Equations |
| title_short | A New Algorithm for Solving Terminal Value Problems of q-Difference Equations |
| title_sort | new algorithm for solving terminal value problems of q difference equations |
| url | http://dx.doi.org/10.1155/2018/8509860 |
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