Volume 16, Issue 2
Finite Difference Method for Reaction-Diffusion Equation with Nonlocal Boundary Conditions

J. M. Liu and Z. Z. Sun

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 97-111

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  • Abstract

In this paper, we present a numerical approach to a class of nonlinear reaction-diffusion equations with nonlocal Robin type boundary conditions by finite difference methods. A second-order accurate difference scheme is derived by the method of reduction of order. Moreover, we prove that the scheme is uniquely solvable and convergent with the convergence rate of order two in a discrete $L_2$-norm. A simple numerical example is given to illustrate the efficiency of the proposed method.

  • History

Published online: 2007-05

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