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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高阶偏微分方程Mpdx矩阵的扩展和逼近解

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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:本文提出了一个(PDE n·m)系统的案例研究,该系统包括三个阶数为n = 2,n = 4,n = 6的偏导数方程,它们具有相同的m = 2自变量,时间(t)和传播空间(s)。为了用逼近解解决这个(PDE n·m)系统,状态向量的偏导数矩阵(M pdx )方法。计算后(M pdxA ),(M pdxB )和(M pdxC )矩阵,数值模拟变得系统化。

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