On solving initial value problems for partial differential equations in maple

BMC Research Notes

Srinivasarao Thota¹ 

[1] Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia;

关键词: Initial value problems;    Maple implementation;    Symbolic algorithm;    Partial differential equations;    35F10;    35G10;    15A29;   

DOI  :  10.1186/s13104-021-05715-4

来源: Springer

【 摘 要 】

ObjectivesIn 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.ResultsThe 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.

【 授权许可】

CC BY