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Volume 9, Issue 4
The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter

Zongli Ma & Shumin Li

DOI: 10.4208/aamm.2015.m1292

Adv. Appl. Math. Mech., 9 (2017), pp. 861-867.

Published online: 2018-05

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  • Abstract

An inverse problem of determining unknown source parameter in a parabolic equation is considered. The variational iteration method (VIM) is presented to solve inverse problems. The solution gives good approximations by VIM. A numerical example shows that the VIM works effectively for an inverse problem.

  • Keywords

Inverse problem, variational iteration method, parabolic equation.

  • AMS Subject Headings

35K05, 35K99, 47J06, 49N45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-861, author = {Ma , Zongli and Li , Shumin}, title = {The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {4}, pages = {861--867}, abstract = {

An inverse problem of determining unknown source parameter in a parabolic equation is considered. The variational iteration method (VIM) is presented to solve inverse problems. The solution gives good approximations by VIM. A numerical example shows that the VIM works effectively for an inverse problem.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1292}, url = {http://global-sci.org/intro/article_detail/aamm/12179.html} }
TY - JOUR T1 - The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter AU - Ma , Zongli AU - Li , Shumin JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 861 EP - 867 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1292 UR - https://global-sci.org/intro/article_detail/aamm/12179.html KW - Inverse problem, variational iteration method, parabolic equation. AB -

An inverse problem of determining unknown source parameter in a parabolic equation is considered. The variational iteration method (VIM) is presented to solve inverse problems. The solution gives good approximations by VIM. A numerical example shows that the VIM works effectively for an inverse problem.

Ma , Zongli and Li , Shumin. (2018). The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter. Advances in Applied Mathematics and Mechanics. 9 (4). 861-867. doi:10.4208/aamm.2015.m1292
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