Efficient Spectral Methods for Solving PDEs with Two-sided Fractional Derivatives

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：liuyun

【摘要】

：

　　For the PDEs with Riesz derivatives,we construct spectral methods using special basis functions based on generalized Jacobi functions which lead to diagonal

【作者】

：

ShenJie;

【机构】

：

Purdue Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　For the PDEs with Riesz derivatives,we construct spectral methods using special basis functions based on generalized Jacobi functions which lead to diagonal systems,and we derive rigorous error estimates which show that the convergence rate is of spectral type in properly weighted Sobolev spaces despite the fact that the solutions have singularities at the endpoints.

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Efficient Spectral Methods for Solving PDEs with Two-sided Fractional Derivatives

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