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R!kpe_(u!kpeN}!kpe!kpe\OUSMOgA Nearly Analytic Discrete Method for Onedimensional Unsteady Convectiondominated Diffusion Equations"KIM YONCHOL;YUN NAM;CHAI DONGHO;pIn this paper, a nearly analytic discretization method for onedimensional linear unsteady convectiondominated diffusion equations and viscous Burgers' equation as one of the nonlinear equation is considered. In the case of linear equations,we find the local truncation error of the scheme is O(~2+ h~4) and consider the stability analysis of the method on the basis of the classical von Neumann's theory. In addition, the nearly analytic discretization method for the onedimensional viscous Burgers' equation is also constructed. The numerical experiments are performed for several benchmark problems presented in some literatures to illustrate the theoretical results. Theoretical and numerical results show that our method is to be higher accurate and nonoscillatory and might be helpful particularly in computations for the unsteady convectiondominated diffusion problems.2503pef[xvzyMultiple Positive Solutions to Singular Fractional Differential System with RiemannStieltjes Integral Boundary ConditionZHANG HAIYAN;LI YAOHONG;:In this paper, we study a class of singular fractional differential system with RiemannStieltjes integral boundary condition by constructing a new cone and using LeggettWilliams fixed point theorem. The existence of multiple positive solutions is obtained. An example is presented to illustrate our main results.14RPlanar Cubic G~1 Hermite Interpolant with Minimal Quadratic Oscillation in Average
LI JUNCHENG;xIn this paper we apply a new method to choose suitable free parameters of the planar cubic G1 Hermite interpolant. The method provides the cubic G1 Hermite interpolant with minimal quadratic oscillation in average. We can use the method to construct the optimal shapepreserving interpolant. Some numerical examples are presented to illustrate the effectiveness of the method.154kCommon Fixed Points for Two Mappings with Implicitlinear Contractions on Partially Ordered 2metric SpacesPIAO YONGJIE;In this paper, we introduce a new class U of 3dimensional real functions, use U and a 2dimensional real function ? to construct a new implicitlinear contractive condition and obtain some existence theorems of common fixed points for two mappings on partially ordered 2metric spaces and give a sufficient condition under which there exists a unique common fixed point. The obtained results goodly generalize and improve the corresponding conclusions in references.101xFeketeSzeg? Inequality for a Subclass of Biunivalent Functions Associated with Hohlov Operator and Quasisubordination)GUO DONG;TANG HUO;AO EN;XIONG LIANGPENG;8In this paper, we introduce a new subclass of biunivalent functions defined by quasisubordination and Hohlov operator and obtain the coefficient estimates and FeketeSzeg? inequality for function in this new subclass. The results presented in this paper improve or generalize the recent works of other authors.2RAn SIRS Epidemic Model with Pulse Vaccination, Birth Pulse and Logistic Death RateGAO JIANZHONG;ZHANG TAILEI;FIn this paper, we propose an SIRS epidemic model with pulse vaccination, birth pulse and Logistic death rate. By using the stroboscopic map of a discrete dynamical system, the diseasefree periodic solution(DFPS for short) of the model under pulse vaccination and birth pulse is obtained. Based on the Floquet theory and comparison theorem of impulsive differential equations, the global asymptotic stability of the DFPS is given, and sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.11[An Optimal Sixthorder Finite Difference Scheme for the Helmholtz Equation in OnedimensionLIU XU;WANG HAINA;HU JING;In this paper,we present an optimal 3point finite difference scheme for sol<ving the 1D Helmholtz equation.We provide a convergence analysis to show that the scheme is sixthorder in accuracy.Based on minimizing the numerical dispersion,we propose a refined optimization rule for choosing the scheme s weight parameters.Numerical results are presented to demonstrate the efficiency and accuracy of the optimal finite difference scheme.12PThe Transfer Ideal under the Action of a Nonmetacyclic Group in the Modular CaseJIA PANPAN;NAN JIZHU;Let Fq be a finite field of characteristic p(p`"= 2) and V_4 a fourdimensional F_qvector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials F_q[V_4] under the action of a nonmetacyclic pgroup P in the modular case. We prove that the height of the transfer ideal is 1 using the fixed point sets of the elements of order p in P and that the transfer ideal is a principal ideal.9gFurther Results on Meromorphic Functions and Their nth Order Exact Differences with Three Shared Values)CHEN SHENGJIANG;XU AIZHU;LIN XIUQIANG;`Let E(a, f) be the set of apoints of a meromorphic function f(z) counting multiplicities. We prove that if a transcendental meromorphic function f(z) of hyper order strictly less than 1 and its nth exact difference ?_c~nf(z) satisfy E(1, f) =E(1, ?_c~nf), E(0, f) ? E(0, ?_c~nf) and E(", f) ? E(", ?_c~nf), then ?_c~nf(z) a" f(z).This result improves a more recent theorem due to Gao et al.(Gao Z, Kornonen R,Zhang J, Zhang Y. Uniqueness of meromorphic functions sharing values with their nth order exact differences. Analysis Math., 2018, https://doi.org/10.1007/s1047601806052) by using a simple method.
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