TITLE:
A Method of Moment Approach in Solving Boundary Value Problems
AUTHORS:
Hilal M. El Misilmani, Karim Y. Kabalan, Mohamad Y. Abou-Shahine, Mohammed Al-Husseini
KEYWORDS:
Boundary Value Problem, Differential Equations, Method of Moment, Galerkin Method, Weight Coefficient
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.7 No.3,
March
5,
2015
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.