查询词典 fractional function

Second, based on the proposed weak formulation, we investigate the numerical solutionsof the time fractional diffusion equation.

基于上述弱解理论，我们计算时间分数阶扩散方程的数值解。

The method is completely fit for the fractional order linear calculus equation.

用仿真实例进一步演示了该方法的简洁、有效，可以解决任意的分数阶微积分方程的求解问题。

The semiboundless mixed problem of the fractional diffusion equation with the third kind nonhomogeneous boundary condition is studied.

研究了一维半无界分数阶扩散方程具有第三类非齐次边条件的混合问题。

These results also indi- cated the validity of the generalized constitutive equation with fractional order.

这同时也从另一个侧面证明了第二章给出的广义分数阶连续介质本构方程的正确性。

In recent years, the extensive application of the fractional differential equation in many modern scientific technique realms makes the research of its numerical method in and abroad prospers.

近年来，分数阶微分方程问题在现代科学技术领域获得了日益广泛的应用。由于其勿庸置疑的重要性，国内外对于分数阶微分方程问题数值方法的研究正在蓬勃兴起。

The best advantage of the method is that it can solve the complex fractional order calculus equation which can hardly be answered by the general calculus knowledge.

该方法最大的优点是能够解决由一般的分数阶微积分知识所不能或是很难求解的复杂分数阶微积分问题，对于分数阶的钱性微积分方程也完全适用。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

Based on the effect of temperature on fractional flow equation ,the transformation law of water cut during huff and puff production is summarized and afterward verified by digital simulation of the actual reservoir model.

河南新庄油田核桃园组的油藏是典型的边水驱动特稠油藏，在分析温度对分流方程的影响后，对该区蒸汽吞吐生产井的含水率变化规律进行了总结。

Third, we consider the fractional Nernst-Planck equation, which describes theanomalous diffusion in the movement of the ions in neuronal system.

我们考察用以描述神经细胞中离子反常扩散现象的分数阶Nernst-Planck方程。

Chapter 5 to text the numerical method put forward carries on the numerical experiment, special two fractional differential equation problem within biologies carries on the test, the number result enunciation method is valid.

第五章对文中所提出的数值方法进行了数值试验，特别就计算生物学中的两个分数阶微分方程问题进行测试，数值结果表明方法是有效的。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！