Directly supposing a special exact solution of nonlinear equation of mathematical physics,and the undermined coefficient of which is determined by using algebraic equations.

Quenching for a nonlinear parabolic equation with nonlinear singular boundary condition;

Existence of solutions of nonlinear parabolic equation with singular initial data in weighted spaces;

Large time behavior of nonlinear parabolic equation;

This paper is concerned with the decay properties for solutions of the nonlinear parabolic equations in twodimensional whole spaces R2.

In this paper a class of nonlinear parabolic equations boundary value problem is concerned,and sufficient conditions for the oscillation of solutions of the equation under the consideration with three kinds of boundasy conditions are given.

The development and the authors’ works on the existence、uniqueness and properties of solutions of the nonlinear parabolic equations with singularities are introduced.

In this paper,simulation of nonlinear algebraic equations with PSPICE is discussed.

By using trial function method and introducing a new transformation, the nonlinear partial differential equation that is hard to be solved by making use of the regular technique can be reduced to a set of nonlinear algebraic equations, which can be easily solved, and their related coefficients can be easily determined by virtue of taking advantage of the approach of undetermined coefficients.