A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions

作者：Jiwari Ram^*; Pandit Sapna; Mittal R C

来源：Applied Mathematics and Computation, 2012, 218(13): 7279-7294.

DOI：10.1016/j.amc.2012.01.006

• Two dimensional telegraph equation
• Differential quadrature method
• Gauss-Lobatto-Chebyshev grid points
• Runge-Kutta method

In this article, we proposed a numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary condition. The PDQM reduced the problem into a system of second order linear differential equation. Then, the obtained system is changed into a system of ordinary differential equations and lastly, RK4 method is used to solve the obtained system. The accuracy of the proposed method is demonstrated by several test examples. The numerical results are found to be in good agreement with the exact solutions and the numerical solutions exist in literature. The technique is easy to apply for multidimensional problems.

• 出版日期2012-3-1