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Allaberen Ashyralyev Doghonay Arjmand Muhammet Koksal 《Journal of The Franklin Institute》2009,346(7):651-662
In the present paper, the use of three-step difference schemes generated by Taylor's decomposition on four points for the numerical solutions of third-order time-varying linear dynamical systems is presented. The method is illustrated for the numerical analysis of an up-converter used in communication systems. 相似文献
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A numerical method is proposed for solving multi-dimensional hyperbolic–parabolic differential equations with the nonlocal boundary condition in t and Dirichlet and Neumann conditions in space variables. The first and second order of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic–parabolic differential equations with variable coefficients in x and two-dimensional hyperbolic–parabolic equation. 相似文献
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A second order difference operator with nonlocal boundary conditions is considered. The positivity of this operator in Banach spaces is proved. Moreover, the structure of the fractional spaces generated by this operator is investigated. Furthermore, the positivity of this operator in Hölder spaces is proved. 相似文献
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