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用Adomian分解法求带有分数阶导数的加热一般第二级流体的Stokes第一类问题

An Approximate Solution for the Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative by Using the Adomian Decomposition Method
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摘要 考虑一般第二级流体的Stokes第一类问题。为了描述这样一个流体,在基本关系模型里引进分数阶微积分学方法。但是,有效地求解分数阶加热一般第二级流体的Stokes第一类问题(简写为SFP-HGSGF)的方法仍然不多。在此利用Adomian分解方法构造近似解。最后用一些数值例子来说明此方法的有效性、可靠性和简单性。 The Stokes＇ first problem fora generalized second grade fluid was investigated.To describe such a fluid,fractional calculus approach in the constitutive relationship model was used.However,there are not many effective methods for the Stokes＇ first problem for a heated generalized second grade fluid with fractional derivative（SFP-HGSGF）.In this paper,Adomian decomposition method was used to construct the approximate solution.Some examples are presented to show the efficiency,reliability and simplicity of the method.
作者 张志敏
机构地区 福州大学阳光学院
出处 《三明学院学报》 2010年第4期317-322,共6页 Journal of Sanming University
关键词 一般第二级流体 分数阶计算 Stokes第一类问题 ADOMIAN分解方法 generalized second grade fluid fractional calculus Stokes＇first problem Adomian decomposition method.
分类号 O175.2 [理学—基础数学]
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参考文献33

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三明学院学报
2010年 第4期

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