Numerical approximation of a nonlinear parabolic partial differential equation
We consider the Allen-Cahn model of phase transitions. We approximate the problem using finite difference method in space coupled with several explicit and implicit methods in time and compare the solutions. We present some numerical experimental results of such approximations.
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| Formatua: | Artikulua |
| Hizkuntza: | English |
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BRAC University
2010
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| Sarrera elektronikoa: | http://hdl.handle.net/10361/445 |
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10361-445 |
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10361-4452019-09-29T05:47:31Z Numerical approximation of a nonlinear parabolic partial differential equation Bhowmik, Samir K. Numerical approximations Allen-cahn model Finit defference Euler's method We consider the Allen-Cahn model of phase transitions. We approximate the problem using finite difference method in space coupled with several explicit and implicit methods in time and compare the solutions. We present some numerical experimental results of such approximations. 2010-10-11T04:51:10Z 2010-10-11T04:51:10Z 2008 Article http://hdl.handle.net/10361/445 en BRAC University Journal, BRAC University;Vol.5, No.2,pp. 9-14 application/pdf BRAC University |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Numerical approximations Allen-cahn model Finit defference Euler's method |
| spellingShingle |
Numerical approximations Allen-cahn model Finit defference Euler's method Bhowmik, Samir K. Numerical approximation of a nonlinear parabolic partial differential equation |
| description |
We consider the Allen-Cahn model of phase transitions. We approximate the problem using finite difference method in space coupled with several explicit and implicit methods in time and compare the solutions. We present some numerical experimental results of such approximations. |
| format |
Article |
| author |
Bhowmik, Samir K. |
| author_facet |
Bhowmik, Samir K. |
| author_sort |
Bhowmik, Samir K. |
| title |
Numerical approximation of a nonlinear parabolic partial differential equation |
| title_short |
Numerical approximation of a nonlinear parabolic partial differential equation |
| title_full |
Numerical approximation of a nonlinear parabolic partial differential equation |
| title_fullStr |
Numerical approximation of a nonlinear parabolic partial differential equation |
| title_full_unstemmed |
Numerical approximation of a nonlinear parabolic partial differential equation |
| title_sort |
numerical approximation of a nonlinear parabolic partial differential equation |
| publisher |
BRAC University |
| publishDate |
2010 |
| url |
http://hdl.handle.net/10361/445 |
| work_keys_str_mv |
AT bhowmiksamirk numericalapproximationofanonlinearparabolicpartialdifferentialequation |
| _version_ |
1814307314018025472 |