| Partial differential equations play an important role in many engineering models and physical phenomena,such as nuclear reactor dynamics,control theory and so on.In recent years,people are more and more interested in the computational techniques for solving the numerical solutions of parabolic partial differential equations with boundary integral conditions.It is shown that the model has been widely concerned by scholars.In order to solve parabolic partial differential equations under two-dimensional integral conditions,we use the applied reproducing kernel method to study and consider equations with theoretical analysis and numerical research.Firstly,we construct a suitable reproducing kernel space.It satisfies the integral boundary conditions of the model and the expression of the reproducing kernel function is given.Secondly,we define a linear operator to equalize to an operator equation.The approximate solution of the model is obtained by using the properties of the reproducing kernel.Finally,numerical examples are given to prove the effectiveness and feasibility of the method,which shows this method is more practical and meaningful. |
