A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation. Issue 1 (28th October 2013)

• Record Type: Journal Article
• Authors: Jiang, Wei; Chen, Zhong
• Is Part Of: Numerical methods for partial differential equations. Volume 30:Issue 1(2014:Jan.)
• Page Start: 289
• Page End: 300
• Publication Date: 2013-10-28
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21809
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>In this article, we proposed a collocation method based on reproducing kernels to solve a modified anomalous subdiffusion equation problem. We give constructively the <alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgg3z3s9b61" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley::media:num21809:num21809-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ε</mml:mi></mml:math></alternatives>‐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</p> </abstract>