Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia.
BMC Res Notes. 2021 Aug 10;14(1):307. doi: 10.1186/s13104-021-05715-4.
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.
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.
在本文中，我们提出并使用符号 Maple 软件算法来求解偏微分方程（PDE）的初值问题（IVP）。从文献中可以看出，该算法在解决应用科学和工程中出现的偏微分方程方面具有重要意义。
该实现包括计算偏微分算子（PartialDiffOperator）、格林函数（GreensFunction）和给定 IVP 的精确解（ExactSolution）。我们还给出了语法 ApplyPartialDiffOp，用于将偏微分算子应用于验证从 ExactSolution 获得的给定 IVP 的解。给出了示例计算来说明 Maple 的实现。
