TY - JOUR
ID - 510032
TI - Cubic spline Numerov type approach for solution of Helmholtz equation
JO - Journal of Linear and Topological Algebra ( JLTA )
JA - JLTA
LA - en
SN - 2252-0201
AU - Rashidinia, J.
AU - Shekarabi, H. S.
AU - Aghamohamadi, M.
AD - Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran
Y1 - 2014
PY - 2014
VL - 03
IS - 01
SP - 47
EP - 54
KW - Cubic spline
KW - Finite difference
KW - Numerov type
KW - Stability
KW - Helmholtz equation
DO -
N2 - We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference 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 effciency of the method.
UR - http://jlta.iauctb.ac.ir/article_510032.html
L1 - http://jlta.iauctb.ac.ir/article_510032_d5dc22669a6b47d6fba42687de484cbd.pdf
ER -