A radial basis function method for fractional Darboux problems

被引：9
|
作者：
Chandhini, G. [1 ]
Prashanthi, K. S. [1 ]
Vijesh, V. Antony [2 ]
机构：
[1] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Surathkal 575025, India
[2] Indian Inst Technol Indore, Sch Basic Sci, Indore 452017, Madhya Pradesh, India
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2018年 / 86卷
关键词：
Fractional Darboux problem; Radial basis function; Collocation; Successive approximation; Gauss-Jacobi quadrature; PARTIAL-DIFFERENTIAL-EQUATIONS; OPTIMAL SHAPE-PARAMETERS; INITIAL-VALUE-PROBLEMS; NUMERICAL-SOLUTION; GOURSAT PROBLEM; DIFFUSION-EQUATIONS; APPROXIMATION; ORDER; INTERPOLATION; COLLOCATION;
D O I：
10.1016/j.enganabound.2017.10.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a radial basis function (RBF) collocation known as Kansa's method has been extended to solve fractional Darboux problems. The fractional derivatives are described in the Caputo sense. Integration of radial functions that appears due to fractional derivatives have been dealt using Gauss-Jacobi quadrature method. The equation has been linearized using successive approximation. A few test problems have been solved and compared with available solutions. The effect of RBF shape parameter on accuracy and convergence has also been discussed. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 18
页数：18
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