On solving initial value problems for partial differential equations in maple

OBJECTIVES: In this paper, we present and employ symbolic Maple software algorithm for solving initial value problems (IVPs) of partial differential equations (PDEs). From the literature, the proposed algorithm exhibited a great significant in solving partial differential equation arises in applied...

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Autor principal: Thota, Srinivasarao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2021
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8353792/
https://www.ncbi.nlm.nih.gov/pubmed/34376237
http://dx.doi.org/10.1186/s13104-021-05715-4
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author Thota, Srinivasarao
author_facet Thota, Srinivasarao
author_sort Thota, Srinivasarao
collection PubMed
description OBJECTIVES: In this paper, we present and employ symbolic Maple software algorithm for solving initial value problems (IVPs) of partial differential equations (PDEs). From the literature, the proposed algorithm exhibited a great significant in solving partial differential equation arises in applied sciences and engineering. RESULTS: The implementation include computing partial differential operator (PartialDiffOperator), Greens function (GreensFunction) and exact solution (ExactSolution) of the given IVP. We also present syntax, ApplyPartialDiffOp, to apply the partial differential operator to verify the solution of the given IVP obtained from ExactSolution. Sample computations are presented to illustrate the maple implementation.
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spelling pubmed-83537922021-08-10 On solving initial value problems for partial differential equations in maple Thota, Srinivasarao BMC Res Notes Research Note OBJECTIVES: In this paper, we present and employ symbolic Maple software algorithm for solving initial value problems (IVPs) of partial differential equations (PDEs). From the literature, the proposed algorithm exhibited a great significant in solving partial differential equation arises in applied sciences and engineering. RESULTS: The implementation include computing partial differential operator (PartialDiffOperator), Greens function (GreensFunction) and exact solution (ExactSolution) of the given IVP. We also present syntax, ApplyPartialDiffOp, to apply the partial differential operator to verify the solution of the given IVP obtained from ExactSolution. Sample computations are presented to illustrate the maple implementation. BioMed Central 2021-08-10 /pmc/articles/PMC8353792/ /pubmed/34376237 http://dx.doi.org/10.1186/s13104-021-05715-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Thota, Srinivasarao
On solving initial value problems for partial differential equations in maple
title On solving initial value problems for partial differential equations in maple
title_full On solving initial value problems for partial differential equations in maple
title_fullStr On solving initial value problems for partial differential equations in maple
title_full_unstemmed On solving initial value problems for partial differential equations in maple
title_short On solving initial value problems for partial differential equations in maple
title_sort on solving initial value problems for partial differential equations in maple
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8353792/
https://www.ncbi.nlm.nih.gov/pubmed/34376237
http://dx.doi.org/10.1186/s13104-021-05715-4
work_keys_str_mv AT thotasrinivasarao onsolvinginitialvalueproblemsforpartialdifferentialequationsinmaple

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