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Extension of Mpdx Matrix for Upper Order Partial Diferential Equations with Two Independent Variables and Approximating Solutions

机译:具有两个独立变量的上阶偏微分方程的MPDx矩阵和近似解

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This paper presents a case study for a (PDE n·m) system that includes three partial derivative equations of order n=2, n=4, n=6 with the same m=2 independent variables, time (t) and propagation space (s). In order to solve this (PDE n·m) system with approximating solutions, the Matrix of Partial Derivatives of the State Vector (Mpdx) method is used. After computing the (MpdxA), (MpdxB) and (MpdxC) matrices, the numerical simulation becomes well systematized.
机译:本文提出了一种(PDE N·M)系统的案例研究,其包括n = 2,n = 4,n = 6的三个部分导数方程,具有相同的m = 2独立变量,时间(t)和传播空间(s)。为了解决具有近似解的(PDE N·M)系统,状态矢量的部分衍生物的矩阵(m pdx )使用方法。计算后(m pdxa ),(m pdxb (m pdxc )矩阵,数值模拟变得良好地系统化。

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