Approximate solution for a variable-coefficient semilinear heat equation with nonlocal boundary conditions

作者：Zhou Shiping; Cui Minggen^*

来源：International Journal of Computer Mathematics, 2009, 86(12): 2248-2258.

DOI：10.1080/00207160903229881

• approximate solution
• nonlinear parabolic equation
• reproducing kernel space
• nonlocal boundary condition

This paper develops an iterative algorithm for the solution to a variable-coefficient semilinear heat equation with nonlocal boundary conditions in the reproducing space. It is proved that the approximate sequence un(x, t) converges to the exact solution u(x, t). Moreover, the partial derivatives of un(x, t) are also convergent to the partial derivatives of u(x, t). And the approximate sequence un(x, t) is the best approximation under a complete normal orthogonal system.

• 出版日期2009
• 单位哈尔滨工业大学