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Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs

机译：基于Haar-Sinc配置方法的双曲型偏微分方程数值算法

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The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. To analyze the efficiency, precision, and performance of the proposed method, we presented four examples through which our claim was confirmed.

机译：本研究研究了Haar-Sinc配点方法来解决双曲线部分电报方程。该技术的优点在于不仅由于Sinc近似指数的收敛速度，而且由于使用了Haar运算矩阵，因此计算速度也很高。通过扩展基于空间中Sinc函数和Haar函数具有未知系数的元素的所需逼近，该技术可用于将问题转换为线性代数方程的解。为了分析所提出方法的效率，精度和性能，我们提供了四个实例来证实我们的主张。

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期刊名称 other
作者
A. Pirkhedri; H. H. S. Javadi; H. R. Navidi;
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年(卷),期 -1(2014),-1
年度 -1
页码 340752
总页数 9
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1. Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs [J] . A.Pirkhedri, H. H. S.Javadi, H. R.Navidi ScientificWorldJournal . 2014,第3期

机译：基于Haar-Sinc搭配方法的求解双曲线PDE的数值算法
2. A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs [J] . Sarra SA Numerical Methods for Partial Differential Equations: An International Journal . 2008,第2期

机译：双曲偏微分方程对称和非对称RBF配置方法的精度和稳定性的数值研究
3. A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains [J] . Mai-Duy N, Tran-Cong T Numerical Methods for Partial Differential Equations: An International Journal . 2007,第5期

机译：基于径向基函数网络的笛卡尔网格搭配方法求解不规则域中的偏微分方程
4. An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation [C] . R. Cavoretto, A. De Rossi International Conference on Large-Scale Scientific Computations . 2019

机译：基于自适应LOOCV的RBF配置求解椭圆PDE的算法
5. High Order Numerical Methods for Hyperbolic Balance Laws: Well-balanced Discontinuous Galerkin Methods and Adjoint-based Inverse Algorithms [D] . Britton, Jolene A. 2020

机译：双曲余额法的高阶数值方法：均衡的不连续的Galerkin方法和基于伴随的逆算法
6. New algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method [O] . E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri 2015

机译：基于非对称广义Jacobi Petrov-Galerkin方法求解三阶和五阶两点边值问题的新算法
7. Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs [O] . A. Pirkhedri, H. H. S. Javadi, H. R. Navidi 2014

机译：基于Haar-Sinc搭配方法的求解双曲线PDE的数值算法
8. High-Order CESE Methods for Solving Hyperbolic PDEs (Preprint) [R] . Bilyeu, D. L., Chen, Y., Yu, S. J., 2011

机译：解决双曲偏微分方程的高阶CEsE方法（预印本）

Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs

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