A Method of Moment Approach in Solving Boundary Value Problems
- 1 Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon
- 2 Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon
- 3 Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon
- 4 Beirut Research and Innovation Center, Lebanese Center for Studies and Research, Beirut, Lebanon
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.
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