جستجوی مقالات مرتبط با کلیدواژه « Quintic B » در نشریات گروه « علوم پایه »
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International Journal of Mathematical Modelling & Computations, Volume:5 Issue: 4, Autumn 2015, P 291This paper present a novel numerical algorithm for the linear one- dimensional heat and wave equation. In this method, a nite dierence approach had been used to discrete the time derivative while cubic spline is applied as an interpolation function in the space dimension. We discuss the accuracy of the method by expanding the equation based on Taylor series and minimize the error. The proposed method has eighth-order accuracy in space and fourth-order accuracy in time variables. From the computational point of view, the solution obtained by this method is in excellent agreement with those obtained by previous works and also it is ecient to use. Numerical examples are given to show the applicability and eciency of the method.Keywords: Dierential Equation, Quintic Spline, Heat Equation, Wave Equation, Taylor Approximation}
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Iranian Journal of science and Technology (A: Siences), Volume:39 Issue: 3, Summer 2015, PP 281 -288In this paper, the quintic B-spline collocation scheme is employed to approximate numerical solution of the KdV-like Rosenau equation. This scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The unconditional stability of the present method is proved using Von- Neumann approach. Since we do not know the exact solution of the nonlinear KdV-like Rosenau equation, a comparison between the numerical solutions on a coarse mesh and those on a refine mesh is made to show the efficiency of discussed method.Keywords: Rosenau equation, Quintic B, spline method, Crank, Nicolson scheme, Thomas algorithm}
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