A two-variable process to estimate results of Hyperbolic Partial Differentiation (HPD) equations in a B-Polynomial (B-Poly) bases is established. In the proposed process, a linear product of variable coefficients and B-Polys is manipulated to express the predicted solution of the HPD equation. The variable coefficients of the linear mixture in the results are concluded using Galerkin technique. The HPD equation is converted into a matrix which when inverted provided the unknown coefficients in the linear mixture of the solution. The anticipated solution is constructed from the variable coefficients and B-Poly basis set as a product with initial conditions implemented. Both the effectiveness and precision of the process depend on the number of B-Polys employed in the results and degree of the B-polys utilized in the linear sequence. The current process is applied to solve four linear examples of the HPD equations with various initial conditions. An excellent agreement was found b...

中文翻译：

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26基于B-poly的双曲型偏微分方程的结果

建立了一个估计B-多项式（B-Poly）基中双曲型偏微分（HPD）方程的结果的两变量过程。在提出的过程中，可变系数和B-Polys的线性乘积被操纵以表达HPD方程的预测解。使用Galerkin技术得出结果中线性混合物的可变系数。HPD方程被转换成矩阵，当求逆时，该矩阵提供了溶液线性混合中的未知系数。预期解决方案由可变系数和B-Poly基集构成，并带有初始条件。该方法的有效性和精确度都取决于结果中所用B-聚体的数量和线性序列中所用B-聚体的程度。目前的过程适用于求解具有各种初始条件的HPD方程的四个线性示例。发现了一个很好的协议...