期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 219, 期 11, 页码 5918-5925出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.12.009
关键词
Parameter; Fractional partial differential equation; Non-classical condition; Reproducing kernel space; Adjoint operator
资金
- Natural Science Foundation of Inner Mongolia [2009MS0103]
Today, most of the real physical world problems can be best modeled with fractional differential equations. Besides modeling, the solution techniques and their reliabilities are most important. Therefore, high accuracy solutions are always needed. In this paper, a new method is provided to solve fractional partial differential equation in a very favorable reproducing kernel space. It's reproducing kernel function is discussed in detail. From the examples considered here, it can be easily seen that our method has small computational work, fast convergence speed and high precision. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
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