On solving initial value problems for partial differential equations in maple
Abstract 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...
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| Format: | Article |
| Language: | English |
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BMC
2021-08-01
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| Series: | BMC Research Notes |
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| Online Access: | https://doi.org/10.1186/s13104-021-05715-4 |
| _version_ | 1819089802087104512 |
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| author | Srinivasarao Thota |
| author_facet | Srinivasarao Thota |
| author_sort | Srinivasarao Thota |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-21T22:13:43Z |
| format | Article |
| id | doaj.art-241a3f86b9434f0da927ee3fb049b436 |
| institution | Directory Open Access Journal |
| issn | 1756-0500 |
| language | English |
| last_indexed | 2024-12-21T22:13:43Z |
| publishDate | 2021-08-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Research Notes |
| spelling | doaj.art-241a3f86b9434f0da927ee3fb049b4362022-12-21T18:48:31ZengBMCBMC Research Notes1756-05002021-08-011411810.1186/s13104-021-05715-4On solving initial value problems for partial differential equations in mapleSrinivasarao Thota0Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology UniversityAbstract 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.https://doi.org/10.1186/s13104-021-05715-4Initial value problemsMaple implementationSymbolic algorithmPartial differential equations |
| spellingShingle | Srinivasarao Thota On solving initial value problems for partial differential equations in maple BMC Research Notes Initial value problems Maple implementation Symbolic algorithm Partial differential equations |
| 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 | Initial value problems Maple implementation Symbolic algorithm Partial differential equations |
| url | https://doi.org/10.1186/s13104-021-05715-4 |
| work_keys_str_mv | AT srinivasaraothota onsolvinginitialvalueproblemsforpartialdifferentialequationsinmaple |