Solving the reaction–diffusion equations with nonlocal boundary conditions based on reproducing kernel space |
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| Authors: | Yingzhen Lin Yongfang Zhou |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Weihai, ShanDong 264209, People's Republic of China;2. Department of Mathematics and Mechanics, Heilongjiang Institute of Science and Technology, Harbin, Heilongjiang 150027, People's Republic of China |
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| Abstract: | The reaction–diffusion equations with initial condition and nonlocal boundary conditions are discussed in this article. A reproducing kernel space is constructed, in which an arbitrary function satisfies the initial condition and nonlocal boundary conditions of the reaction‐diffusion equations. Based on the reproducing kernel space, a new algorithm for solving the reaction–diffusion equations with initial condition and nonlocal boundary conditions is presented. Some examples are displayed to demonstrate the validity and applicability of the proposed method. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009 |
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| Keywords: | nonlinear reaction– diffusion equations nonlocal boundary conditions reproducing kernel space |
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