论文标题
分数间数方程的三个数值方案的比较研究
Comparative study of Three Numerical Schemes for Fractional Integro differential Equations
论文作者
论文摘要
本文介绍了一项比较研究，用于针对按CAPUTO分数衍生物定义的分数突出方程的线性，二次线性和二次线性方案。还建立了相应近似值的误差估计。讨论的方案的数值测试表明，所有方案都可以很好地工作，并且当增加解决方案的术语数量时，可以实现所需的解决方案。通过各种表分析并说明了相对于步长H的数值方案的准确性。最后，讨论了这些方案的比较性能。
This paper presents a comparative study three numerical schemes such as Linear, Quadratic and Quadratic-Linear scheme for the fractional integro-differential equations defined in terms of the Caputo fractional derivatives. The error estimates of the respective approximations are also established. Numerical tests of the discussed schemes show that all schemes work well, and when the number of terms approximating the solution are increased, the desired solution is achieved. The accuracy of the numerical schemes with respect to the step size h is analyzed and illustrated through various tables. Finally, comparative performances of the schemes are discussed.
