Abstract:In this paper, a new numerical method is developed for solving one-dimensional second-order hyperbolic equations.By using a new unconditionally stable two level difference scheme based on the quartic spline interpolation method in space direction and generalized trapezoidal formula in time direction, the hyperbolic equations are solved. Stability analysis of the scheme is carried out. The accuracy of the scheme is second-order in time direction and fourth-order in space direction. It has been shown that by sui… Show more
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