# Research Papers On Ordinary Differential Equations

1.

Rui-xia, L., Zhi-qing, H.: Numerical methods of differential equations. East China University of Technology Press (2005)Google Scholar

2.

Ji-ming, Y.: A formula to solve initial value problem of homogeneous linear differential equations with constant coefficients and its application. Yantai Teachers University Journal 16(1), 8–13 (2000)Google Scholar

3.

Yan, W., Ji-en, D.: Discuss the solution of First Order Linear Differential Equations. China Education Innovation Herald. No. 01 (2010)Google Scholar

4.

Hong-tian, J.: Non-linear odrdiary differential equation of first order with method of lerding variables. Journal of YanBei Teacher’s College 15(6) (1999)Google Scholar

5.

Qing-yang, L., Neng-chao, W., Da-yi, Y.: Numerical analysis. Tsinghua University Press, Beijing (2001)Google Scholar

6.

Kim, D., Stanescu, D.: Low-storang Runge-Kutta methods for stochastic differential equations. Applied Numerical Mathematics 58 (2008)Google Scholar

7.

Wang, P.: Three-stage stochastic Runge-kutta methods for stochastic differential equations. Journal of Computational and Applied Mathematics 222, 324–332 (2008)MathSciNetCrossRefMATHGoogle Scholar

8.

Northeast Normal University. Ordinary differential equations. Higher Education PressGoogle Scholar

9.

Da-xue, Q., Lin-long, Z.: Discussion on the Integrable Conditions of Riccati Equation. Journal of Xi an University of Arts and Science (Natural Science Edition) 9(1) (January 2006)Google Scholar

10.

Nakamura, S.: Numerical analysis and graphic visualization with MATLAB. Electronics Industry Press (2005)Google Scholar

Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial... more

Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q$-difference operator. $(P,q)$-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using $q$-difference and $p,q$-power difference is shown.

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