A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions

• المؤلفون الرئيسيون: Sun, Zhi-zhong, Wu, Xiaonan, Zhang, Jiwei, Wang, Desheng
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/99594; http://hdl.handle.net/10220/12557

A novel three level linearized difference scheme is proposed for the semilinear parabolic equation with nonlinear absorbing boundary conditions. The solution of this problem will blow up in finite time. Hence this difference scheme is coupled with an adaptive time step size, i.e., when the solution...