A Method of Moment Approach in Solving Boundary Value Problems

Hilal M. El Misilmani^1*, Karim Y. Kabalan¹, Mohamad Y. Abou-Shahine¹, Mohammed Al-Husseini²

¹Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon.
²Beirut Research and Innovation Center, Lebanese Center for Studies and Research, Beirut, Lebanon.

DOI: 10.4236/jemaa.2015.73007                

Abstract

Several available methods, known in literatures, are available for solving nth order differential equations and their complexities differ based on the accuracy of the solution. A successful method, known to researcher in the area of computational electromagnetic and called the Method of Moment (MoM) is found to have its way in this domain and can be used in solving boundary value problems where differential equations are resulting. A simplified version of this method is adopted in this paper to address this problem, and two differential equations examples are considered to clarify the approach and present the simplicity of the method. As illustrated in this paper, this approach can be introduced along with other methods, and can be considered as an attractive way to solve differential equations and other boundary value problems.

Keywords

Boundary Value Problem, Differential Equations, Method of Moment, Galerkin Method, Weight Coefficient

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Gibson, W.C. (2008) The Method of Moments in Electromagnetics. Chapman & Hall/CRC, Taylor & Francis Group, UK.
[2]	Harrington, R.F. (1968) Field Computation by Moment Methods. Krieger Publishing Co., Inc., Huntington.
[3]	Djordjevic, A.R. and Sarkar, T.K. (1987) A Theorem on the Moment Methods. IEEE Transactions on Antennas and Propagation, 35, 353-355. http://dx.doi.org/10.1109/TAP.1987.1144097
[4]	Newman, E.H. (1998) Simple Examples of the Method of Moments in Electromagnetics. IEEE Transactions on Education, 31, 193-200. http://dx.doi.org/10.1109/13.2311
[5]	Serteller, N.F.O., Ak, A.G., Kocyigit, G. and Akinci, T.C. (2011) Experimental Study of Moment Method for Undergraduates in Electromagnetic. Journal of Electronics and Electrical Engineering, 3, 115-118.