A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed element method, whose gradient belongs to the sim...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/141467 |
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| _version_ | 1849412126668488704 |
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| author | Yang Liu Hong Li Wei Gao Siriguleng He Zhichao Fang |
| author_facet | Yang Liu Hong Li Wei Gao Siriguleng He Zhichao Fang |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed element method, whose gradient belongs to the simple L2Ω2 space replacing the complex H(div;Ω) space. Some a priori error estimates in L2-norm for the scalar unknown u and in L22-norm for its gradient σ. Moreover, we also discuss a priori error estimates in H1-norm for the scalar unknown u. |
| format | Article |
| id | doaj-art-5e28ab904b9845d4bb5bdea75d4dbd7c |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5e28ab904b9845d4bb5bdea75d4dbd7c2025-08-20T03:34:32ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/141467141467A New Mixed Element Method for a Class of Time-Fractional Partial Differential EquationsYang Liu0Hong Li1Wei Gao2Siriguleng He3Zhichao Fang4School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaA kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed element method, whose gradient belongs to the simple L2Ω2 space replacing the complex H(div;Ω) space. Some a priori error estimates in L2-norm for the scalar unknown u and in L22-norm for its gradient σ. Moreover, we also discuss a priori error estimates in H1-norm for the scalar unknown u.http://dx.doi.org/10.1155/2014/141467 |
| spellingShingle | Yang Liu Hong Li Wei Gao Siriguleng He Zhichao Fang A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations The Scientific World Journal |
| title | A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations |
| title_full | A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations |
| title_fullStr | A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations |
| title_full_unstemmed | A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations |
| title_short | A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations |
| title_sort | new mixed element method for a class of time fractional partial differential equations |
| url | http://dx.doi.org/10.1155/2014/141467 |
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