Rashidinia, J., Shekarabi, H., Aghamohamadi, M. (2014). Cubic spline Numerov type approach for solution of Helmholtz equation. Journal of Linear and Topological Algebra (JLTA), 03(01), 47-54.

J. Rashidinia; H. S. Shekarabi; M. Aghamohamadi. "Cubic spline Numerov type approach for solution of Helmholtz equation". Journal of Linear and Topological Algebra (JLTA), 03, 01, 2014, 47-54.

Rashidinia, J., Shekarabi, H., Aghamohamadi, M. (2014). 'Cubic spline Numerov type approach for solution of Helmholtz equation', Journal of Linear and Topological Algebra (JLTA), 03(01), pp. 47-54.

Rashidinia, J., Shekarabi, H., Aghamohamadi, M. Cubic spline Numerov type approach for solution of Helmholtz equation. Journal of Linear and Topological Algebra (JLTA), 2014; 03(01): 47-54.

Cubic spline Numerov type approach for solution of Helmholtz equation

^{}Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran

Abstract

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.

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