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首页> 外文期刊>European Physical Journal Plus >An advanced method with convergence analysis for solving space-time fractional partial differential equations with multi delays
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An advanced method with convergence analysis for solving space-time fractional partial differential equations with multi delays

机译:一种具有多延迟求解空间分数局部微分方程的收敛分析的高级方法

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摘要

This study considers the space-time fractional partial differential equations with multi delays under a unique formulation, proposing a numerical method involving advanced matrix system. This matrix system is made up of the matching polynomial of complete graph together with fractional Caputo and Jumarie derivative types. Also, the derivative types are scrutinized to determine which of them is more proper for the method. Convergence analysis of the method is established via an average value of residual function using double integrals. The obtained solutions are improved with the aid of a residual error estimation. A general computer program module, which contains few steps, is developed. Tables and figures prove the efficiency and simplicity of the method. Eventually, an algorithm is given to illustrate the basis of the method.
机译:本研究考虑了在唯一配方下具有多延迟的时空分数局部微分方程,提出了一种涉及高级矩阵系统的数值方法。 该矩阵系统由完整图的匹配多项式与分数Caputo和Jumarie衍生物类型组成。 而且,仔细审查衍生类型以确定它们的方法中的哪一个更适合。 使用双积分的剩余功能的平均值建立了该方法的收敛性分析。 借助于残余误差估计,所获得的解决方案得到改善。 开发了一个包含几个步骤的一般计算机程序模块。 表格和数据证明了该方法的效率和简单性。 最终,给出了一种算法来说明方法的基础。

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