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Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix

Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix
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摘要 An interesting semi-analytic solution is given for the Helmholtz equation. This solution is obtained from a rigorous discussion of the regularity and the inversion of the tridiagonal symmetric matrix. Then, applications are given, showing very good accuracy. This work provides also the analytical inverse of the skew-symmetric tridiagonal matrix. An interesting semi-analytic solution is given for the Helmholtz equation. This solution is obtained from a rigorous discussion of the regularity and the inversion of the tridiagonal symmetric matrix. Then, applications are given, showing very good accuracy. This work provides also the analytical inverse of the skew-symmetric tridiagonal matrix.
出处 《Journal of Electromagnetic Analysis and Applications》 2014年第14期425-438,共14页 电磁分析与应用期刊(英文)
关键词 HELMHOLTZ Equation TRIDIAGONAL Matrix Linear HOMOGENEOUS RECURRENCE Relation Helmholtz Equation Tridiagonal Matrix Linear Homogeneous Recurrence Relation
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