Numerical Solution of linear second order Linear Systems with Singular - A using He’s Variational Iteration Method

S. Sekar; B. Venkatachalam alias Ravikumar

doi:https://doi.org/10.14445/22315373/IJMTT-V36P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 36 | Number 2 | Year 2016 | Article Id. IJMTT-V36P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P520

Numerical Solution of linear second order Linear Systems with Singular - A using He’s Variational Iteration Method

S. Sekar, B. Venkatachalam alias Ravikumar

Citation :

S. Sekar, B. Venkatachalam alias Ravikumar, "Numerical Solution of linear second order Linear Systems with Singular - A using He’s Variational Iteration Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 2, pp. 134-136, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P520

Abstract

In this article, He’s Variational Iteration Method (HVIM) is implemented for solving the second order linear systems with singular – A. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of the problem. The results are compared with those obtained by the methods taken from the literature [4]. The works confirms that the He’s Variational Iteration Method is superior and very faster to the other methods.

Keywords

Singular systems, Second order linear systems with singular-A, Leapfrog method, He’s Variational Iteration Method.

References

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