cubic spline numerov type approach for solution of helmholtz equation
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abstract
we have developed a three level implicit method for solution of the helmholtz equation. using the cubic spline in space and nite di erence in time directions. the approach has been modi ed to drive numerov type nite di erence method. the method yield the tri- diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. stability and error estimation of the presented method are analyzed.the obtained results satis ed the ability and eciency of the method.
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Journal title:
journal of linear and topological algebra (jlta)جلد ۳، شماره ۰۱، صفحات ۴۷-۵۴
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