Sinc Method For The Heat Equation

In this paper, we mainly consider the parabolic one-dimensional heat con-duction equation on unbounded region.On one hand, we start to study the heat equation by using the forward Euler method for the discrete of the heat equation in time.In the same time,we use a discrete of Sinc method in the spatial direction.On the other hand,we mainly study exact solution of the heat equation.We can use of Sinc integral approximation of discrete to get the heat conduction equation numerical discrete format. Through calculation of the nu-merical example,we can know that the method has a good stability.Numerical examples prove that using the heat conduction equation with Sinc discrete wavelet method has a good stability.And calculation results show that the method can achieve higher convergence effect.