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A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of the form $u_{tt} =A(x,t,u)u_{xx} +f(x,t,u,u_{x},u_{t})$ . We describe spline in …