An unconditionally stable alternating direction implicit (ADI) method of O(k 2 +h 2 ) of Lees type for solving the three space dimensional linear hyperbolic equation u tt +2 f u t + g 2 u = u xx + u yy + u zz + f ( x , y , z , t ), 0<x, y, z<1, t>0 subject to appropriate initial and Dirichlet boundary conditions is proposed, where f >0 and g S 0 are real numbers. For this method, we use a single computational cell. The resulting system of algebraic equations is solved by three step split method. The new method is demonstrated by a suitable numerical example.
International Journal of Computer Mathematics
Volume 79, 2002 - Issue 1
![Sample our Bioscience journals, sign in here to start your access, Latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5925/TOC-Subject-Sample-2021-Bioscience.jpg"})
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related Research Data
Meshless local radial point interpolation (MLRPI) on the telegraph equation with purely integral conditions
Source:
Springer Science and Business Media LLC
Numerical solution to the telegraph equation via the geometric moving Kriging meshfree method
Source:
Springer Science and Business Media LLC
An unconditionally stable spatial sixth-order CCD-ADI method for the two-dimensional linear telegraph equation
Source:
Springer Science and Business Media LLC
A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations
Source:
World Scientific Pub Co Pte Lt
A numerical procedure based on Hermite wavelets for two-dimensional hyperbolic telegraph equation
Source:
Springer Science and Business Media LLC
A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients
Source:
Informa UK Limited
An efficient meshless method based on RBFs for the time fractional diffusion-wave equation
Source:
Springer Science and Business Media LLC
Numerical treatment on one-dimensional hyperbolic telegraph equation by the method of line-group preserving scheme
Source:
Springer Science and Business Media LLC
Linking provided by
