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A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation
Author(s) -
Jiang Wei,
Chen Zhong
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21809
Subject(s) - mathematics , collocation (remote sensing) , kernel (algebra) , simple (philosophy) , collocation method , partial differential equation , partial derivative , differential equation , mathematical analysis , computer science , pure mathematics , ordinary differential equation , philosophy , epistemology , machine learning
In this article, we proposed a collocation method based on reproducing kernels to solve a modified anomalous subdiffusion equation problem. We give constructively the ε ‐approximate of the equation whose coefficients are determined optimally by solving a system of linear equations. The final numerical experiments demonstrate that the proposed method is simple, effective, and easy to implement. Copyright © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 289–300, 2014