In this paper, an adaptive grid method is proposed to solve onedimensional unsteady singularly perturbed Burger-Huxley equation with appropriate initial and boundary conditions. Firstly, we use the classical backward-Euler scheme on a uniform mesh to approximate time derivative. The resulting nonlinear singularly perturbed semi-discrete problem is linearized by using Newton-Raphson-Kantorovich approximation method which is quadratically convergent. Then, an upwind finite difference scheme on an adaptive nonuniform grid is used for space derivative. The nonuniform grid is generated by equidistribution of a positive monitor function, which is similar to the arclength function. It is shown that the presented adaptive grid method is first order uniform convergent in the time and spatial directions, respectively. Finally, numerical results are given to validate the theoretical results.

Polymer hydrogel electrolytes with high conductivity can be used in extremely low temperatures such as −40 °C. In article number 2009438, Libin Liu and co‐workers report a new type of antifreezing zwitterionic polymer hydrogel (polySH) electrolyte. The zwitterionic groups are favorable for the dissociation of LiCl. A Li+(H2O)n hydration structure can hop and migrate through the channel of the zwitterionic group. The excellent antifreezing property and conductivity make the polySH electrolyte applicable in ion conductors and energy storage devices.

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