.png){kind=icon}
返回
A collocation approach for solving two-dimensional second-order linear hyperbolic equations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2018.05.053.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this study, a collocation approach is introduced to solve second-order two-dimensional hyperbolic telegraph equation under the initial and boundary conditions. The method is based on the Bessel functions of the first kind, matrix operations and collocation points. The method is constructed in four steps for the considered problem. In first step we construct the fundamental relations for the solution method. By using the collocation points and matrix operations, second step gives the constructing of the main matrix equation. In third step, matrix forms are created for the initial and boundary conditions. We compute the approximate solutions by combining second and third steps. Algorithm of the proposed method is given. Later, error estimation technique is presented and the approximate solutions are improved. Numerical applications are included to demonstrate the validity and applicability of the presented method. (C) 2018 Elsevier Inc. All rights reserved.
Keyword:
Two-dimensional hyperbolic telegraph equations
Partial differential equations
Bessel functions of first kind
Collocation method
Collocation points
Numerical solutions
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
机构
引用论文
Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions求解具有Dirichlet和Neumann边界条件的双曲型偏微分方程的Lagrange插值和修正的三次b样条微分求积方法
.png){kind=icon}
PREAI
分享收藏
查看更多内容