Title of article
Cubic spline Numerov type approach for solution of Helmholtz equation
Author/Authors
J. Rashidinia Department of Mathematics - College of basic science, Islamic Azad University, Karaj , Shekarabi, H. S. Department of Mathematics - College of basic science, Islamic Azad University, Karaj , Aghamohamadi, M. Department of Mathematics - College of basic science, Islamic Azad University, Karaj
Pages
8
From page
47
To page
54
Abstract
We have developed a three level implicit method for solution of the Helmholtz
equation. Using the cubic spline in space and nite dierence in time directions. The approach
has been modied to drive Numerov type nite dierence method. The method yield the tri-
diagonal linear system of algebraic equations which can be solved by using a tri-diagonal
solver. Stability and error estimation of the presented method are analyzed.The obtained
results satised the ability and eciency of the method.
Keywords
Cubic spline , Finite difference , Stability , Helmholtz equation
Journal title
Astroparticle Physics
Serial Year
2014
Record number
2436073
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